chapter 3 - decimals math skills – week 4. outline introduction to decimals – section 3.1...
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Chapter 3 - DecimalsChapter 3 - DecimalsMath Skills ndash Week 4
OutlineOutline
Introduction to Decimals ndash Section 31Addition of Decimals ndash Section 32Subtraction of Decimals ndash Section 33Multiplication of Decimals ndash Section 34Division of Decimals ndash Section 35Comparing and Converting Fractions and
Decimals ndash Section 36
Stuff to Remember (forget)hellipStuff to Remember (forget)hellip
Reduce all fractional answers to simplest form and convert improper fractions to mixed numbers
MIDTERM Next Class Chapters 1 2 and 3
Study tips review slides your notes read sections in the book
look at example problems in bookPay attention to what question is asking
Prime factorization vs Finding all factorsOn homeworkquizzes clearly circle your answerClass Project Handout
Introduction to DecimalsIntroduction to Decimals
This is a number in decimal notation
The decimal part represents a number less than one
Just likehellip $6188 88 represents 88 cents which is less than $1
6188Whole Number part
Decimal Point
Decimal part
Introduction to DecimalsIntroduction to Decimals
Just as with whole numbers decimal numbers have place values
The position of a digit in a decimal determines the digits place value0 is in the hundredths 3 is in the tenths9 is in the _______ place4 is in the _______ place
4 5 8 3 0 2 7 1 9
hundre
ds
tens
ones
tenth
s
hundre
dth
s
thousa
ndth
s
Ten-
thousa
ndth
s
hundre
d-
thousa
ndth
s
mill
ionth
s
millionthshundredths
Introduction to DecimalsIntroduction to Decimals
Rounding decimals is similar to rounding whole numbers
Approximate the decimal to any place value Steps
1 Write out the number to be rounded in a place value chart
2 Look at the number to the right of the place value you are rounding to
1 If the number is gt or = 5 increase the digit in the place value by 1 and remove all digits to the right of it
2 If the number is lt 5 remove it and all of the digits to the right of itExamples
Round 046972 to the nearest thousandth 0470
Round 0635457 to nearest hundred thousandths 063546
Introduction to DecimalsIntroduction to Decimals
Class Examples Round 48907 to the nearest tenth
489 Round 318562 to the nearest whole number
32 Round 3675849 to the nearest ten-
thousandth 36758
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Adding and subtracting decimal numbers is the similar as adding and subtracting whole numbers
Catch first align the decimal points of each number on a vertical lineAssures us that we are addingsubtracting
digits that are in the same place value
4290316290903
+ 650729
0000
206462759
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Examples (Addition)Add083 + 7942 + 15
= 23772Add 23037 + 167892
= 398262Class Examples (Addition)
Find the sum of 462 279 and 062054 = 3314054
Add 605 + 12 + 0374 = 18424
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Examples (Subtraction)Subtract 39047 ndash 796
= 31087Find 923 less than 29
= 1977Class Examples (Subtraction)
Subtract 72039 ndash 847 = 63569
Subtract 35 ndash 967 = 2533
Multiplication of DecimalsMultiplication of Decimals
Multiplication of decimals is similar to multiplication of whole numbersQuestion Where does decimal go
Check thishellip03 x 5 = 15
Start with 1 decimal place answer has 1 decimal place
03 x 05 = 015 Start with a total of 2 decimal places answer has
2 decimal places03 x 005 = 0015
Start with a total of 3 decimal places answer has 3 decimal places
Multiplication of DecimalsMultiplication of Decimals
Multiplication Steps1 Do the multiplication as if it were whole
numbers2 To place the decimal in the right location
1 Count the total number of decimal places in all of the factors
2 Starting from the right of the product count the total number of decimal places towards the left and place the decimal point there
214x 036
3 total decimal places
7 704
Multiplication of DecimalsMultiplication of Decimals
Examples 920 x 37
= 34040000079 x 0025
= 000001975Class Examples
870 x 46 = 40020
0000086 x 0057 = 0000004902
Multiplication of DecimalsMultiplication of Decimals
To multiply a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the right the same number of times as there are zeros38925 x 10
= 3892538925 x 100
= 3892538925 x 1000
= 3892538925 x 10000
= 389250 38925 x 100000
=3892500 (Note we added a zero before the decimal)
Division of DecimalsDivision of Decimals
Dividing decimals is similar to dividing whole numbers Same questionhellipwhat about the decimal place
Where does that goSteps
1Make the divisor a whole number by shifting the decimal to the right as many times as necessary
2Move the decimal in the dividend the same number of times that we moved it in the divisor
7 0 6 4 2 0 9 0
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Add zeros to the end of the dividend so that we can round to the desired place value
Example Round quotient to nearest tenth write 2 zeros after the decimal
Round quotient to nearest thousandth need 4 zeros after the decimal
706 4209000
706 420900000
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Do the division as if it were whole numbers2 Put the decimal place in the quotient directly
over the decimal point in the dividend
706 4209000
0005961 asymp 596
Division of DecimalsDivision of Decimals
ExamplesDivide 58092 divide 82 round to the nearest
thousandth = 07084 asymp 0708
Divide 4209 divide 706 round to the nearest tenth = 5961 asymp 596
Divide 2178 divide 0039 round to the nearest hundredth asymp 5585
Division of DecimalsDivision of Decimals
Class ExamplesDivide 37042 divide 76 round to the nearest
thousandth = 04873 asymp 0487
Divide 3702 divide 509 round to the nearest tenth = 7273 asymp 727
Division of DecimalsDivision of Decimals
To divide a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the left the same number of times as there are zeros Fill in the blank spaces with zeros3465 divide 10 or 101
= 34653465 divide 100 or 102
= 034653465 divide 1000 or 103
= 0034653465 divide 10000 or 104
= 0003465
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
Fractions and decimals are two ways of representing parts of a whole number frac14 is a portion of 1 whole 0345 is a portion of 1 whole
Every fraction can be written as a decimalEvery decimal can be written as a fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a fraction decimalSteps
1 Divide the numerator of the fraction by the denominator
2 Round the quotient to a desired place valueExample
Convert 37 to a decimal and round to nearest Hundredth and Thousandth
= 042857 Nearest Hundredth 043 Nearest Thousandth 0429
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 38 to a decimal round to nearest
hundredth = 0375 asymp 038
Convert 2 frac34 to a decimal round to nearest tenth = 275 asymp 28
Class ExamplesConvert 916 to a decimal round to nearest tenth
= 06Convert 4 16 to a decimal round to nearest
hundredth = 417
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a decimal fractionSteps
1 Count the number of decimal places2 Remove the decimal point (and any leading zeros)3 Put the decimal part over a denominator
The denominator is a factor of 10 that has the same number of zeros as decimal places (from step 1)
4 Put the fraction in simplest formExample
Convert 047 to a fraction = 47100
Convert 0275 to a fraction 2751000 = 1140
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 082 to a fraction
= 82100 = 241 250 = 4150Convert 475 to a fraction
= 4 75100 = 4 325425 = 4 34Class Examples
Convert 056 to a fraction = 56100 = 414 425
Convert 535 to a fraction = 5 35100 = 5 75 520 = 5 720
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
OutlineOutline
Introduction to Decimals ndash Section 31Addition of Decimals ndash Section 32Subtraction of Decimals ndash Section 33Multiplication of Decimals ndash Section 34Division of Decimals ndash Section 35Comparing and Converting Fractions and
Decimals ndash Section 36
Stuff to Remember (forget)hellipStuff to Remember (forget)hellip
Reduce all fractional answers to simplest form and convert improper fractions to mixed numbers
MIDTERM Next Class Chapters 1 2 and 3
Study tips review slides your notes read sections in the book
look at example problems in bookPay attention to what question is asking
Prime factorization vs Finding all factorsOn homeworkquizzes clearly circle your answerClass Project Handout
Introduction to DecimalsIntroduction to Decimals
This is a number in decimal notation
The decimal part represents a number less than one
Just likehellip $6188 88 represents 88 cents which is less than $1
6188Whole Number part
Decimal Point
Decimal part
Introduction to DecimalsIntroduction to Decimals
Just as with whole numbers decimal numbers have place values
The position of a digit in a decimal determines the digits place value0 is in the hundredths 3 is in the tenths9 is in the _______ place4 is in the _______ place
4 5 8 3 0 2 7 1 9
hundre
ds
tens
ones
tenth
s
hundre
dth
s
thousa
ndth
s
Ten-
thousa
ndth
s
hundre
d-
thousa
ndth
s
mill
ionth
s
millionthshundredths
Introduction to DecimalsIntroduction to Decimals
Rounding decimals is similar to rounding whole numbers
Approximate the decimal to any place value Steps
1 Write out the number to be rounded in a place value chart
2 Look at the number to the right of the place value you are rounding to
1 If the number is gt or = 5 increase the digit in the place value by 1 and remove all digits to the right of it
2 If the number is lt 5 remove it and all of the digits to the right of itExamples
Round 046972 to the nearest thousandth 0470
Round 0635457 to nearest hundred thousandths 063546
Introduction to DecimalsIntroduction to Decimals
Class Examples Round 48907 to the nearest tenth
489 Round 318562 to the nearest whole number
32 Round 3675849 to the nearest ten-
thousandth 36758
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Adding and subtracting decimal numbers is the similar as adding and subtracting whole numbers
Catch first align the decimal points of each number on a vertical lineAssures us that we are addingsubtracting
digits that are in the same place value
4290316290903
+ 650729
0000
206462759
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Examples (Addition)Add083 + 7942 + 15
= 23772Add 23037 + 167892
= 398262Class Examples (Addition)
Find the sum of 462 279 and 062054 = 3314054
Add 605 + 12 + 0374 = 18424
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Examples (Subtraction)Subtract 39047 ndash 796
= 31087Find 923 less than 29
= 1977Class Examples (Subtraction)
Subtract 72039 ndash 847 = 63569
Subtract 35 ndash 967 = 2533
Multiplication of DecimalsMultiplication of Decimals
Multiplication of decimals is similar to multiplication of whole numbersQuestion Where does decimal go
Check thishellip03 x 5 = 15
Start with 1 decimal place answer has 1 decimal place
03 x 05 = 015 Start with a total of 2 decimal places answer has
2 decimal places03 x 005 = 0015
Start with a total of 3 decimal places answer has 3 decimal places
Multiplication of DecimalsMultiplication of Decimals
Multiplication Steps1 Do the multiplication as if it were whole
numbers2 To place the decimal in the right location
1 Count the total number of decimal places in all of the factors
2 Starting from the right of the product count the total number of decimal places towards the left and place the decimal point there
214x 036
3 total decimal places
7 704
Multiplication of DecimalsMultiplication of Decimals
Examples 920 x 37
= 34040000079 x 0025
= 000001975Class Examples
870 x 46 = 40020
0000086 x 0057 = 0000004902
Multiplication of DecimalsMultiplication of Decimals
To multiply a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the right the same number of times as there are zeros38925 x 10
= 3892538925 x 100
= 3892538925 x 1000
= 3892538925 x 10000
= 389250 38925 x 100000
=3892500 (Note we added a zero before the decimal)
Division of DecimalsDivision of Decimals
Dividing decimals is similar to dividing whole numbers Same questionhellipwhat about the decimal place
Where does that goSteps
1Make the divisor a whole number by shifting the decimal to the right as many times as necessary
2Move the decimal in the dividend the same number of times that we moved it in the divisor
7 0 6 4 2 0 9 0
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Add zeros to the end of the dividend so that we can round to the desired place value
Example Round quotient to nearest tenth write 2 zeros after the decimal
Round quotient to nearest thousandth need 4 zeros after the decimal
706 4209000
706 420900000
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Do the division as if it were whole numbers2 Put the decimal place in the quotient directly
over the decimal point in the dividend
706 4209000
0005961 asymp 596
Division of DecimalsDivision of Decimals
ExamplesDivide 58092 divide 82 round to the nearest
thousandth = 07084 asymp 0708
Divide 4209 divide 706 round to the nearest tenth = 5961 asymp 596
Divide 2178 divide 0039 round to the nearest hundredth asymp 5585
Division of DecimalsDivision of Decimals
Class ExamplesDivide 37042 divide 76 round to the nearest
thousandth = 04873 asymp 0487
Divide 3702 divide 509 round to the nearest tenth = 7273 asymp 727
Division of DecimalsDivision of Decimals
To divide a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the left the same number of times as there are zeros Fill in the blank spaces with zeros3465 divide 10 or 101
= 34653465 divide 100 or 102
= 034653465 divide 1000 or 103
= 0034653465 divide 10000 or 104
= 0003465
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
Fractions and decimals are two ways of representing parts of a whole number frac14 is a portion of 1 whole 0345 is a portion of 1 whole
Every fraction can be written as a decimalEvery decimal can be written as a fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a fraction decimalSteps
1 Divide the numerator of the fraction by the denominator
2 Round the quotient to a desired place valueExample
Convert 37 to a decimal and round to nearest Hundredth and Thousandth
= 042857 Nearest Hundredth 043 Nearest Thousandth 0429
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 38 to a decimal round to nearest
hundredth = 0375 asymp 038
Convert 2 frac34 to a decimal round to nearest tenth = 275 asymp 28
Class ExamplesConvert 916 to a decimal round to nearest tenth
= 06Convert 4 16 to a decimal round to nearest
hundredth = 417
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a decimal fractionSteps
1 Count the number of decimal places2 Remove the decimal point (and any leading zeros)3 Put the decimal part over a denominator
The denominator is a factor of 10 that has the same number of zeros as decimal places (from step 1)
4 Put the fraction in simplest formExample
Convert 047 to a fraction = 47100
Convert 0275 to a fraction 2751000 = 1140
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 082 to a fraction
= 82100 = 241 250 = 4150Convert 475 to a fraction
= 4 75100 = 4 325425 = 4 34Class Examples
Convert 056 to a fraction = 56100 = 414 425
Convert 535 to a fraction = 5 35100 = 5 75 520 = 5 720
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
Stuff to Remember (forget)hellipStuff to Remember (forget)hellip
Reduce all fractional answers to simplest form and convert improper fractions to mixed numbers
MIDTERM Next Class Chapters 1 2 and 3
Study tips review slides your notes read sections in the book
look at example problems in bookPay attention to what question is asking
Prime factorization vs Finding all factorsOn homeworkquizzes clearly circle your answerClass Project Handout
Introduction to DecimalsIntroduction to Decimals
This is a number in decimal notation
The decimal part represents a number less than one
Just likehellip $6188 88 represents 88 cents which is less than $1
6188Whole Number part
Decimal Point
Decimal part
Introduction to DecimalsIntroduction to Decimals
Just as with whole numbers decimal numbers have place values
The position of a digit in a decimal determines the digits place value0 is in the hundredths 3 is in the tenths9 is in the _______ place4 is in the _______ place
4 5 8 3 0 2 7 1 9
hundre
ds
tens
ones
tenth
s
hundre
dth
s
thousa
ndth
s
Ten-
thousa
ndth
s
hundre
d-
thousa
ndth
s
mill
ionth
s
millionthshundredths
Introduction to DecimalsIntroduction to Decimals
Rounding decimals is similar to rounding whole numbers
Approximate the decimal to any place value Steps
1 Write out the number to be rounded in a place value chart
2 Look at the number to the right of the place value you are rounding to
1 If the number is gt or = 5 increase the digit in the place value by 1 and remove all digits to the right of it
2 If the number is lt 5 remove it and all of the digits to the right of itExamples
Round 046972 to the nearest thousandth 0470
Round 0635457 to nearest hundred thousandths 063546
Introduction to DecimalsIntroduction to Decimals
Class Examples Round 48907 to the nearest tenth
489 Round 318562 to the nearest whole number
32 Round 3675849 to the nearest ten-
thousandth 36758
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Adding and subtracting decimal numbers is the similar as adding and subtracting whole numbers
Catch first align the decimal points of each number on a vertical lineAssures us that we are addingsubtracting
digits that are in the same place value
4290316290903
+ 650729
0000
206462759
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Examples (Addition)Add083 + 7942 + 15
= 23772Add 23037 + 167892
= 398262Class Examples (Addition)
Find the sum of 462 279 and 062054 = 3314054
Add 605 + 12 + 0374 = 18424
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Examples (Subtraction)Subtract 39047 ndash 796
= 31087Find 923 less than 29
= 1977Class Examples (Subtraction)
Subtract 72039 ndash 847 = 63569
Subtract 35 ndash 967 = 2533
Multiplication of DecimalsMultiplication of Decimals
Multiplication of decimals is similar to multiplication of whole numbersQuestion Where does decimal go
Check thishellip03 x 5 = 15
Start with 1 decimal place answer has 1 decimal place
03 x 05 = 015 Start with a total of 2 decimal places answer has
2 decimal places03 x 005 = 0015
Start with a total of 3 decimal places answer has 3 decimal places
Multiplication of DecimalsMultiplication of Decimals
Multiplication Steps1 Do the multiplication as if it were whole
numbers2 To place the decimal in the right location
1 Count the total number of decimal places in all of the factors
2 Starting from the right of the product count the total number of decimal places towards the left and place the decimal point there
214x 036
3 total decimal places
7 704
Multiplication of DecimalsMultiplication of Decimals
Examples 920 x 37
= 34040000079 x 0025
= 000001975Class Examples
870 x 46 = 40020
0000086 x 0057 = 0000004902
Multiplication of DecimalsMultiplication of Decimals
To multiply a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the right the same number of times as there are zeros38925 x 10
= 3892538925 x 100
= 3892538925 x 1000
= 3892538925 x 10000
= 389250 38925 x 100000
=3892500 (Note we added a zero before the decimal)
Division of DecimalsDivision of Decimals
Dividing decimals is similar to dividing whole numbers Same questionhellipwhat about the decimal place
Where does that goSteps
1Make the divisor a whole number by shifting the decimal to the right as many times as necessary
2Move the decimal in the dividend the same number of times that we moved it in the divisor
7 0 6 4 2 0 9 0
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Add zeros to the end of the dividend so that we can round to the desired place value
Example Round quotient to nearest tenth write 2 zeros after the decimal
Round quotient to nearest thousandth need 4 zeros after the decimal
706 4209000
706 420900000
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Do the division as if it were whole numbers2 Put the decimal place in the quotient directly
over the decimal point in the dividend
706 4209000
0005961 asymp 596
Division of DecimalsDivision of Decimals
ExamplesDivide 58092 divide 82 round to the nearest
thousandth = 07084 asymp 0708
Divide 4209 divide 706 round to the nearest tenth = 5961 asymp 596
Divide 2178 divide 0039 round to the nearest hundredth asymp 5585
Division of DecimalsDivision of Decimals
Class ExamplesDivide 37042 divide 76 round to the nearest
thousandth = 04873 asymp 0487
Divide 3702 divide 509 round to the nearest tenth = 7273 asymp 727
Division of DecimalsDivision of Decimals
To divide a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the left the same number of times as there are zeros Fill in the blank spaces with zeros3465 divide 10 or 101
= 34653465 divide 100 or 102
= 034653465 divide 1000 or 103
= 0034653465 divide 10000 or 104
= 0003465
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
Fractions and decimals are two ways of representing parts of a whole number frac14 is a portion of 1 whole 0345 is a portion of 1 whole
Every fraction can be written as a decimalEvery decimal can be written as a fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a fraction decimalSteps
1 Divide the numerator of the fraction by the denominator
2 Round the quotient to a desired place valueExample
Convert 37 to a decimal and round to nearest Hundredth and Thousandth
= 042857 Nearest Hundredth 043 Nearest Thousandth 0429
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 38 to a decimal round to nearest
hundredth = 0375 asymp 038
Convert 2 frac34 to a decimal round to nearest tenth = 275 asymp 28
Class ExamplesConvert 916 to a decimal round to nearest tenth
= 06Convert 4 16 to a decimal round to nearest
hundredth = 417
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a decimal fractionSteps
1 Count the number of decimal places2 Remove the decimal point (and any leading zeros)3 Put the decimal part over a denominator
The denominator is a factor of 10 that has the same number of zeros as decimal places (from step 1)
4 Put the fraction in simplest formExample
Convert 047 to a fraction = 47100
Convert 0275 to a fraction 2751000 = 1140
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 082 to a fraction
= 82100 = 241 250 = 4150Convert 475 to a fraction
= 4 75100 = 4 325425 = 4 34Class Examples
Convert 056 to a fraction = 56100 = 414 425
Convert 535 to a fraction = 5 35100 = 5 75 520 = 5 720
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
Introduction to DecimalsIntroduction to Decimals
This is a number in decimal notation
The decimal part represents a number less than one
Just likehellip $6188 88 represents 88 cents which is less than $1
6188Whole Number part
Decimal Point
Decimal part
Introduction to DecimalsIntroduction to Decimals
Just as with whole numbers decimal numbers have place values
The position of a digit in a decimal determines the digits place value0 is in the hundredths 3 is in the tenths9 is in the _______ place4 is in the _______ place
4 5 8 3 0 2 7 1 9
hundre
ds
tens
ones
tenth
s
hundre
dth
s
thousa
ndth
s
Ten-
thousa
ndth
s
hundre
d-
thousa
ndth
s
mill
ionth
s
millionthshundredths
Introduction to DecimalsIntroduction to Decimals
Rounding decimals is similar to rounding whole numbers
Approximate the decimal to any place value Steps
1 Write out the number to be rounded in a place value chart
2 Look at the number to the right of the place value you are rounding to
1 If the number is gt or = 5 increase the digit in the place value by 1 and remove all digits to the right of it
2 If the number is lt 5 remove it and all of the digits to the right of itExamples
Round 046972 to the nearest thousandth 0470
Round 0635457 to nearest hundred thousandths 063546
Introduction to DecimalsIntroduction to Decimals
Class Examples Round 48907 to the nearest tenth
489 Round 318562 to the nearest whole number
32 Round 3675849 to the nearest ten-
thousandth 36758
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Adding and subtracting decimal numbers is the similar as adding and subtracting whole numbers
Catch first align the decimal points of each number on a vertical lineAssures us that we are addingsubtracting
digits that are in the same place value
4290316290903
+ 650729
0000
206462759
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Examples (Addition)Add083 + 7942 + 15
= 23772Add 23037 + 167892
= 398262Class Examples (Addition)
Find the sum of 462 279 and 062054 = 3314054
Add 605 + 12 + 0374 = 18424
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Examples (Subtraction)Subtract 39047 ndash 796
= 31087Find 923 less than 29
= 1977Class Examples (Subtraction)
Subtract 72039 ndash 847 = 63569
Subtract 35 ndash 967 = 2533
Multiplication of DecimalsMultiplication of Decimals
Multiplication of decimals is similar to multiplication of whole numbersQuestion Where does decimal go
Check thishellip03 x 5 = 15
Start with 1 decimal place answer has 1 decimal place
03 x 05 = 015 Start with a total of 2 decimal places answer has
2 decimal places03 x 005 = 0015
Start with a total of 3 decimal places answer has 3 decimal places
Multiplication of DecimalsMultiplication of Decimals
Multiplication Steps1 Do the multiplication as if it were whole
numbers2 To place the decimal in the right location
1 Count the total number of decimal places in all of the factors
2 Starting from the right of the product count the total number of decimal places towards the left and place the decimal point there
214x 036
3 total decimal places
7 704
Multiplication of DecimalsMultiplication of Decimals
Examples 920 x 37
= 34040000079 x 0025
= 000001975Class Examples
870 x 46 = 40020
0000086 x 0057 = 0000004902
Multiplication of DecimalsMultiplication of Decimals
To multiply a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the right the same number of times as there are zeros38925 x 10
= 3892538925 x 100
= 3892538925 x 1000
= 3892538925 x 10000
= 389250 38925 x 100000
=3892500 (Note we added a zero before the decimal)
Division of DecimalsDivision of Decimals
Dividing decimals is similar to dividing whole numbers Same questionhellipwhat about the decimal place
Where does that goSteps
1Make the divisor a whole number by shifting the decimal to the right as many times as necessary
2Move the decimal in the dividend the same number of times that we moved it in the divisor
7 0 6 4 2 0 9 0
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Add zeros to the end of the dividend so that we can round to the desired place value
Example Round quotient to nearest tenth write 2 zeros after the decimal
Round quotient to nearest thousandth need 4 zeros after the decimal
706 4209000
706 420900000
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Do the division as if it were whole numbers2 Put the decimal place in the quotient directly
over the decimal point in the dividend
706 4209000
0005961 asymp 596
Division of DecimalsDivision of Decimals
ExamplesDivide 58092 divide 82 round to the nearest
thousandth = 07084 asymp 0708
Divide 4209 divide 706 round to the nearest tenth = 5961 asymp 596
Divide 2178 divide 0039 round to the nearest hundredth asymp 5585
Division of DecimalsDivision of Decimals
Class ExamplesDivide 37042 divide 76 round to the nearest
thousandth = 04873 asymp 0487
Divide 3702 divide 509 round to the nearest tenth = 7273 asymp 727
Division of DecimalsDivision of Decimals
To divide a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the left the same number of times as there are zeros Fill in the blank spaces with zeros3465 divide 10 or 101
= 34653465 divide 100 or 102
= 034653465 divide 1000 or 103
= 0034653465 divide 10000 or 104
= 0003465
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
Fractions and decimals are two ways of representing parts of a whole number frac14 is a portion of 1 whole 0345 is a portion of 1 whole
Every fraction can be written as a decimalEvery decimal can be written as a fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a fraction decimalSteps
1 Divide the numerator of the fraction by the denominator
2 Round the quotient to a desired place valueExample
Convert 37 to a decimal and round to nearest Hundredth and Thousandth
= 042857 Nearest Hundredth 043 Nearest Thousandth 0429
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 38 to a decimal round to nearest
hundredth = 0375 asymp 038
Convert 2 frac34 to a decimal round to nearest tenth = 275 asymp 28
Class ExamplesConvert 916 to a decimal round to nearest tenth
= 06Convert 4 16 to a decimal round to nearest
hundredth = 417
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a decimal fractionSteps
1 Count the number of decimal places2 Remove the decimal point (and any leading zeros)3 Put the decimal part over a denominator
The denominator is a factor of 10 that has the same number of zeros as decimal places (from step 1)
4 Put the fraction in simplest formExample
Convert 047 to a fraction = 47100
Convert 0275 to a fraction 2751000 = 1140
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 082 to a fraction
= 82100 = 241 250 = 4150Convert 475 to a fraction
= 4 75100 = 4 325425 = 4 34Class Examples
Convert 056 to a fraction = 56100 = 414 425
Convert 535 to a fraction = 5 35100 = 5 75 520 = 5 720
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
Introduction to DecimalsIntroduction to Decimals
Just as with whole numbers decimal numbers have place values
The position of a digit in a decimal determines the digits place value0 is in the hundredths 3 is in the tenths9 is in the _______ place4 is in the _______ place
4 5 8 3 0 2 7 1 9
hundre
ds
tens
ones
tenth
s
hundre
dth
s
thousa
ndth
s
Ten-
thousa
ndth
s
hundre
d-
thousa
ndth
s
mill
ionth
s
millionthshundredths
Introduction to DecimalsIntroduction to Decimals
Rounding decimals is similar to rounding whole numbers
Approximate the decimal to any place value Steps
1 Write out the number to be rounded in a place value chart
2 Look at the number to the right of the place value you are rounding to
1 If the number is gt or = 5 increase the digit in the place value by 1 and remove all digits to the right of it
2 If the number is lt 5 remove it and all of the digits to the right of itExamples
Round 046972 to the nearest thousandth 0470
Round 0635457 to nearest hundred thousandths 063546
Introduction to DecimalsIntroduction to Decimals
Class Examples Round 48907 to the nearest tenth
489 Round 318562 to the nearest whole number
32 Round 3675849 to the nearest ten-
thousandth 36758
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Adding and subtracting decimal numbers is the similar as adding and subtracting whole numbers
Catch first align the decimal points of each number on a vertical lineAssures us that we are addingsubtracting
digits that are in the same place value
4290316290903
+ 650729
0000
206462759
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Examples (Addition)Add083 + 7942 + 15
= 23772Add 23037 + 167892
= 398262Class Examples (Addition)
Find the sum of 462 279 and 062054 = 3314054
Add 605 + 12 + 0374 = 18424
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Examples (Subtraction)Subtract 39047 ndash 796
= 31087Find 923 less than 29
= 1977Class Examples (Subtraction)
Subtract 72039 ndash 847 = 63569
Subtract 35 ndash 967 = 2533
Multiplication of DecimalsMultiplication of Decimals
Multiplication of decimals is similar to multiplication of whole numbersQuestion Where does decimal go
Check thishellip03 x 5 = 15
Start with 1 decimal place answer has 1 decimal place
03 x 05 = 015 Start with a total of 2 decimal places answer has
2 decimal places03 x 005 = 0015
Start with a total of 3 decimal places answer has 3 decimal places
Multiplication of DecimalsMultiplication of Decimals
Multiplication Steps1 Do the multiplication as if it were whole
numbers2 To place the decimal in the right location
1 Count the total number of decimal places in all of the factors
2 Starting from the right of the product count the total number of decimal places towards the left and place the decimal point there
214x 036
3 total decimal places
7 704
Multiplication of DecimalsMultiplication of Decimals
Examples 920 x 37
= 34040000079 x 0025
= 000001975Class Examples
870 x 46 = 40020
0000086 x 0057 = 0000004902
Multiplication of DecimalsMultiplication of Decimals
To multiply a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the right the same number of times as there are zeros38925 x 10
= 3892538925 x 100
= 3892538925 x 1000
= 3892538925 x 10000
= 389250 38925 x 100000
=3892500 (Note we added a zero before the decimal)
Division of DecimalsDivision of Decimals
Dividing decimals is similar to dividing whole numbers Same questionhellipwhat about the decimal place
Where does that goSteps
1Make the divisor a whole number by shifting the decimal to the right as many times as necessary
2Move the decimal in the dividend the same number of times that we moved it in the divisor
7 0 6 4 2 0 9 0
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Add zeros to the end of the dividend so that we can round to the desired place value
Example Round quotient to nearest tenth write 2 zeros after the decimal
Round quotient to nearest thousandth need 4 zeros after the decimal
706 4209000
706 420900000
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Do the division as if it were whole numbers2 Put the decimal place in the quotient directly
over the decimal point in the dividend
706 4209000
0005961 asymp 596
Division of DecimalsDivision of Decimals
ExamplesDivide 58092 divide 82 round to the nearest
thousandth = 07084 asymp 0708
Divide 4209 divide 706 round to the nearest tenth = 5961 asymp 596
Divide 2178 divide 0039 round to the nearest hundredth asymp 5585
Division of DecimalsDivision of Decimals
Class ExamplesDivide 37042 divide 76 round to the nearest
thousandth = 04873 asymp 0487
Divide 3702 divide 509 round to the nearest tenth = 7273 asymp 727
Division of DecimalsDivision of Decimals
To divide a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the left the same number of times as there are zeros Fill in the blank spaces with zeros3465 divide 10 or 101
= 34653465 divide 100 or 102
= 034653465 divide 1000 or 103
= 0034653465 divide 10000 or 104
= 0003465
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
Fractions and decimals are two ways of representing parts of a whole number frac14 is a portion of 1 whole 0345 is a portion of 1 whole
Every fraction can be written as a decimalEvery decimal can be written as a fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a fraction decimalSteps
1 Divide the numerator of the fraction by the denominator
2 Round the quotient to a desired place valueExample
Convert 37 to a decimal and round to nearest Hundredth and Thousandth
= 042857 Nearest Hundredth 043 Nearest Thousandth 0429
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 38 to a decimal round to nearest
hundredth = 0375 asymp 038
Convert 2 frac34 to a decimal round to nearest tenth = 275 asymp 28
Class ExamplesConvert 916 to a decimal round to nearest tenth
= 06Convert 4 16 to a decimal round to nearest
hundredth = 417
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a decimal fractionSteps
1 Count the number of decimal places2 Remove the decimal point (and any leading zeros)3 Put the decimal part over a denominator
The denominator is a factor of 10 that has the same number of zeros as decimal places (from step 1)
4 Put the fraction in simplest formExample
Convert 047 to a fraction = 47100
Convert 0275 to a fraction 2751000 = 1140
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 082 to a fraction
= 82100 = 241 250 = 4150Convert 475 to a fraction
= 4 75100 = 4 325425 = 4 34Class Examples
Convert 056 to a fraction = 56100 = 414 425
Convert 535 to a fraction = 5 35100 = 5 75 520 = 5 720
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
Introduction to DecimalsIntroduction to Decimals
Rounding decimals is similar to rounding whole numbers
Approximate the decimal to any place value Steps
1 Write out the number to be rounded in a place value chart
2 Look at the number to the right of the place value you are rounding to
1 If the number is gt or = 5 increase the digit in the place value by 1 and remove all digits to the right of it
2 If the number is lt 5 remove it and all of the digits to the right of itExamples
Round 046972 to the nearest thousandth 0470
Round 0635457 to nearest hundred thousandths 063546
Introduction to DecimalsIntroduction to Decimals
Class Examples Round 48907 to the nearest tenth
489 Round 318562 to the nearest whole number
32 Round 3675849 to the nearest ten-
thousandth 36758
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Adding and subtracting decimal numbers is the similar as adding and subtracting whole numbers
Catch first align the decimal points of each number on a vertical lineAssures us that we are addingsubtracting
digits that are in the same place value
4290316290903
+ 650729
0000
206462759
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Examples (Addition)Add083 + 7942 + 15
= 23772Add 23037 + 167892
= 398262Class Examples (Addition)
Find the sum of 462 279 and 062054 = 3314054
Add 605 + 12 + 0374 = 18424
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Examples (Subtraction)Subtract 39047 ndash 796
= 31087Find 923 less than 29
= 1977Class Examples (Subtraction)
Subtract 72039 ndash 847 = 63569
Subtract 35 ndash 967 = 2533
Multiplication of DecimalsMultiplication of Decimals
Multiplication of decimals is similar to multiplication of whole numbersQuestion Where does decimal go
Check thishellip03 x 5 = 15
Start with 1 decimal place answer has 1 decimal place
03 x 05 = 015 Start with a total of 2 decimal places answer has
2 decimal places03 x 005 = 0015
Start with a total of 3 decimal places answer has 3 decimal places
Multiplication of DecimalsMultiplication of Decimals
Multiplication Steps1 Do the multiplication as if it were whole
numbers2 To place the decimal in the right location
1 Count the total number of decimal places in all of the factors
2 Starting from the right of the product count the total number of decimal places towards the left and place the decimal point there
214x 036
3 total decimal places
7 704
Multiplication of DecimalsMultiplication of Decimals
Examples 920 x 37
= 34040000079 x 0025
= 000001975Class Examples
870 x 46 = 40020
0000086 x 0057 = 0000004902
Multiplication of DecimalsMultiplication of Decimals
To multiply a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the right the same number of times as there are zeros38925 x 10
= 3892538925 x 100
= 3892538925 x 1000
= 3892538925 x 10000
= 389250 38925 x 100000
=3892500 (Note we added a zero before the decimal)
Division of DecimalsDivision of Decimals
Dividing decimals is similar to dividing whole numbers Same questionhellipwhat about the decimal place
Where does that goSteps
1Make the divisor a whole number by shifting the decimal to the right as many times as necessary
2Move the decimal in the dividend the same number of times that we moved it in the divisor
7 0 6 4 2 0 9 0
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Add zeros to the end of the dividend so that we can round to the desired place value
Example Round quotient to nearest tenth write 2 zeros after the decimal
Round quotient to nearest thousandth need 4 zeros after the decimal
706 4209000
706 420900000
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Do the division as if it were whole numbers2 Put the decimal place in the quotient directly
over the decimal point in the dividend
706 4209000
0005961 asymp 596
Division of DecimalsDivision of Decimals
ExamplesDivide 58092 divide 82 round to the nearest
thousandth = 07084 asymp 0708
Divide 4209 divide 706 round to the nearest tenth = 5961 asymp 596
Divide 2178 divide 0039 round to the nearest hundredth asymp 5585
Division of DecimalsDivision of Decimals
Class ExamplesDivide 37042 divide 76 round to the nearest
thousandth = 04873 asymp 0487
Divide 3702 divide 509 round to the nearest tenth = 7273 asymp 727
Division of DecimalsDivision of Decimals
To divide a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the left the same number of times as there are zeros Fill in the blank spaces with zeros3465 divide 10 or 101
= 34653465 divide 100 or 102
= 034653465 divide 1000 or 103
= 0034653465 divide 10000 or 104
= 0003465
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
Fractions and decimals are two ways of representing parts of a whole number frac14 is a portion of 1 whole 0345 is a portion of 1 whole
Every fraction can be written as a decimalEvery decimal can be written as a fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a fraction decimalSteps
1 Divide the numerator of the fraction by the denominator
2 Round the quotient to a desired place valueExample
Convert 37 to a decimal and round to nearest Hundredth and Thousandth
= 042857 Nearest Hundredth 043 Nearest Thousandth 0429
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 38 to a decimal round to nearest
hundredth = 0375 asymp 038
Convert 2 frac34 to a decimal round to nearest tenth = 275 asymp 28
Class ExamplesConvert 916 to a decimal round to nearest tenth
= 06Convert 4 16 to a decimal round to nearest
hundredth = 417
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a decimal fractionSteps
1 Count the number of decimal places2 Remove the decimal point (and any leading zeros)3 Put the decimal part over a denominator
The denominator is a factor of 10 that has the same number of zeros as decimal places (from step 1)
4 Put the fraction in simplest formExample
Convert 047 to a fraction = 47100
Convert 0275 to a fraction 2751000 = 1140
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 082 to a fraction
= 82100 = 241 250 = 4150Convert 475 to a fraction
= 4 75100 = 4 325425 = 4 34Class Examples
Convert 056 to a fraction = 56100 = 414 425
Convert 535 to a fraction = 5 35100 = 5 75 520 = 5 720
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
Introduction to DecimalsIntroduction to Decimals
Class Examples Round 48907 to the nearest tenth
489 Round 318562 to the nearest whole number
32 Round 3675849 to the nearest ten-
thousandth 36758
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Adding and subtracting decimal numbers is the similar as adding and subtracting whole numbers
Catch first align the decimal points of each number on a vertical lineAssures us that we are addingsubtracting
digits that are in the same place value
4290316290903
+ 650729
0000
206462759
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Examples (Addition)Add083 + 7942 + 15
= 23772Add 23037 + 167892
= 398262Class Examples (Addition)
Find the sum of 462 279 and 062054 = 3314054
Add 605 + 12 + 0374 = 18424
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Examples (Subtraction)Subtract 39047 ndash 796
= 31087Find 923 less than 29
= 1977Class Examples (Subtraction)
Subtract 72039 ndash 847 = 63569
Subtract 35 ndash 967 = 2533
Multiplication of DecimalsMultiplication of Decimals
Multiplication of decimals is similar to multiplication of whole numbersQuestion Where does decimal go
Check thishellip03 x 5 = 15
Start with 1 decimal place answer has 1 decimal place
03 x 05 = 015 Start with a total of 2 decimal places answer has
2 decimal places03 x 005 = 0015
Start with a total of 3 decimal places answer has 3 decimal places
Multiplication of DecimalsMultiplication of Decimals
Multiplication Steps1 Do the multiplication as if it were whole
numbers2 To place the decimal in the right location
1 Count the total number of decimal places in all of the factors
2 Starting from the right of the product count the total number of decimal places towards the left and place the decimal point there
214x 036
3 total decimal places
7 704
Multiplication of DecimalsMultiplication of Decimals
Examples 920 x 37
= 34040000079 x 0025
= 000001975Class Examples
870 x 46 = 40020
0000086 x 0057 = 0000004902
Multiplication of DecimalsMultiplication of Decimals
To multiply a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the right the same number of times as there are zeros38925 x 10
= 3892538925 x 100
= 3892538925 x 1000
= 3892538925 x 10000
= 389250 38925 x 100000
=3892500 (Note we added a zero before the decimal)
Division of DecimalsDivision of Decimals
Dividing decimals is similar to dividing whole numbers Same questionhellipwhat about the decimal place
Where does that goSteps
1Make the divisor a whole number by shifting the decimal to the right as many times as necessary
2Move the decimal in the dividend the same number of times that we moved it in the divisor
7 0 6 4 2 0 9 0
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Add zeros to the end of the dividend so that we can round to the desired place value
Example Round quotient to nearest tenth write 2 zeros after the decimal
Round quotient to nearest thousandth need 4 zeros after the decimal
706 4209000
706 420900000
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Do the division as if it were whole numbers2 Put the decimal place in the quotient directly
over the decimal point in the dividend
706 4209000
0005961 asymp 596
Division of DecimalsDivision of Decimals
ExamplesDivide 58092 divide 82 round to the nearest
thousandth = 07084 asymp 0708
Divide 4209 divide 706 round to the nearest tenth = 5961 asymp 596
Divide 2178 divide 0039 round to the nearest hundredth asymp 5585
Division of DecimalsDivision of Decimals
Class ExamplesDivide 37042 divide 76 round to the nearest
thousandth = 04873 asymp 0487
Divide 3702 divide 509 round to the nearest tenth = 7273 asymp 727
Division of DecimalsDivision of Decimals
To divide a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the left the same number of times as there are zeros Fill in the blank spaces with zeros3465 divide 10 or 101
= 34653465 divide 100 or 102
= 034653465 divide 1000 or 103
= 0034653465 divide 10000 or 104
= 0003465
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
Fractions and decimals are two ways of representing parts of a whole number frac14 is a portion of 1 whole 0345 is a portion of 1 whole
Every fraction can be written as a decimalEvery decimal can be written as a fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a fraction decimalSteps
1 Divide the numerator of the fraction by the denominator
2 Round the quotient to a desired place valueExample
Convert 37 to a decimal and round to nearest Hundredth and Thousandth
= 042857 Nearest Hundredth 043 Nearest Thousandth 0429
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 38 to a decimal round to nearest
hundredth = 0375 asymp 038
Convert 2 frac34 to a decimal round to nearest tenth = 275 asymp 28
Class ExamplesConvert 916 to a decimal round to nearest tenth
= 06Convert 4 16 to a decimal round to nearest
hundredth = 417
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a decimal fractionSteps
1 Count the number of decimal places2 Remove the decimal point (and any leading zeros)3 Put the decimal part over a denominator
The denominator is a factor of 10 that has the same number of zeros as decimal places (from step 1)
4 Put the fraction in simplest formExample
Convert 047 to a fraction = 47100
Convert 0275 to a fraction 2751000 = 1140
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 082 to a fraction
= 82100 = 241 250 = 4150Convert 475 to a fraction
= 4 75100 = 4 325425 = 4 34Class Examples
Convert 056 to a fraction = 56100 = 414 425
Convert 535 to a fraction = 5 35100 = 5 75 520 = 5 720
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Adding and subtracting decimal numbers is the similar as adding and subtracting whole numbers
Catch first align the decimal points of each number on a vertical lineAssures us that we are addingsubtracting
digits that are in the same place value
4290316290903
+ 650729
0000
206462759
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Examples (Addition)Add083 + 7942 + 15
= 23772Add 23037 + 167892
= 398262Class Examples (Addition)
Find the sum of 462 279 and 062054 = 3314054
Add 605 + 12 + 0374 = 18424
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Examples (Subtraction)Subtract 39047 ndash 796
= 31087Find 923 less than 29
= 1977Class Examples (Subtraction)
Subtract 72039 ndash 847 = 63569
Subtract 35 ndash 967 = 2533
Multiplication of DecimalsMultiplication of Decimals
Multiplication of decimals is similar to multiplication of whole numbersQuestion Where does decimal go
Check thishellip03 x 5 = 15
Start with 1 decimal place answer has 1 decimal place
03 x 05 = 015 Start with a total of 2 decimal places answer has
2 decimal places03 x 005 = 0015
Start with a total of 3 decimal places answer has 3 decimal places
Multiplication of DecimalsMultiplication of Decimals
Multiplication Steps1 Do the multiplication as if it were whole
numbers2 To place the decimal in the right location
1 Count the total number of decimal places in all of the factors
2 Starting from the right of the product count the total number of decimal places towards the left and place the decimal point there
214x 036
3 total decimal places
7 704
Multiplication of DecimalsMultiplication of Decimals
Examples 920 x 37
= 34040000079 x 0025
= 000001975Class Examples
870 x 46 = 40020
0000086 x 0057 = 0000004902
Multiplication of DecimalsMultiplication of Decimals
To multiply a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the right the same number of times as there are zeros38925 x 10
= 3892538925 x 100
= 3892538925 x 1000
= 3892538925 x 10000
= 389250 38925 x 100000
=3892500 (Note we added a zero before the decimal)
Division of DecimalsDivision of Decimals
Dividing decimals is similar to dividing whole numbers Same questionhellipwhat about the decimal place
Where does that goSteps
1Make the divisor a whole number by shifting the decimal to the right as many times as necessary
2Move the decimal in the dividend the same number of times that we moved it in the divisor
7 0 6 4 2 0 9 0
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Add zeros to the end of the dividend so that we can round to the desired place value
Example Round quotient to nearest tenth write 2 zeros after the decimal
Round quotient to nearest thousandth need 4 zeros after the decimal
706 4209000
706 420900000
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Do the division as if it were whole numbers2 Put the decimal place in the quotient directly
over the decimal point in the dividend
706 4209000
0005961 asymp 596
Division of DecimalsDivision of Decimals
ExamplesDivide 58092 divide 82 round to the nearest
thousandth = 07084 asymp 0708
Divide 4209 divide 706 round to the nearest tenth = 5961 asymp 596
Divide 2178 divide 0039 round to the nearest hundredth asymp 5585
Division of DecimalsDivision of Decimals
Class ExamplesDivide 37042 divide 76 round to the nearest
thousandth = 04873 asymp 0487
Divide 3702 divide 509 round to the nearest tenth = 7273 asymp 727
Division of DecimalsDivision of Decimals
To divide a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the left the same number of times as there are zeros Fill in the blank spaces with zeros3465 divide 10 or 101
= 34653465 divide 100 or 102
= 034653465 divide 1000 or 103
= 0034653465 divide 10000 or 104
= 0003465
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
Fractions and decimals are two ways of representing parts of a whole number frac14 is a portion of 1 whole 0345 is a portion of 1 whole
Every fraction can be written as a decimalEvery decimal can be written as a fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a fraction decimalSteps
1 Divide the numerator of the fraction by the denominator
2 Round the quotient to a desired place valueExample
Convert 37 to a decimal and round to nearest Hundredth and Thousandth
= 042857 Nearest Hundredth 043 Nearest Thousandth 0429
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 38 to a decimal round to nearest
hundredth = 0375 asymp 038
Convert 2 frac34 to a decimal round to nearest tenth = 275 asymp 28
Class ExamplesConvert 916 to a decimal round to nearest tenth
= 06Convert 4 16 to a decimal round to nearest
hundredth = 417
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a decimal fractionSteps
1 Count the number of decimal places2 Remove the decimal point (and any leading zeros)3 Put the decimal part over a denominator
The denominator is a factor of 10 that has the same number of zeros as decimal places (from step 1)
4 Put the fraction in simplest formExample
Convert 047 to a fraction = 47100
Convert 0275 to a fraction 2751000 = 1140
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 082 to a fraction
= 82100 = 241 250 = 4150Convert 475 to a fraction
= 4 75100 = 4 325425 = 4 34Class Examples
Convert 056 to a fraction = 56100 = 414 425
Convert 535 to a fraction = 5 35100 = 5 75 520 = 5 720
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Examples (Addition)Add083 + 7942 + 15
= 23772Add 23037 + 167892
= 398262Class Examples (Addition)
Find the sum of 462 279 and 062054 = 3314054
Add 605 + 12 + 0374 = 18424
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Examples (Subtraction)Subtract 39047 ndash 796
= 31087Find 923 less than 29
= 1977Class Examples (Subtraction)
Subtract 72039 ndash 847 = 63569
Subtract 35 ndash 967 = 2533
Multiplication of DecimalsMultiplication of Decimals
Multiplication of decimals is similar to multiplication of whole numbersQuestion Where does decimal go
Check thishellip03 x 5 = 15
Start with 1 decimal place answer has 1 decimal place
03 x 05 = 015 Start with a total of 2 decimal places answer has
2 decimal places03 x 005 = 0015
Start with a total of 3 decimal places answer has 3 decimal places
Multiplication of DecimalsMultiplication of Decimals
Multiplication Steps1 Do the multiplication as if it were whole
numbers2 To place the decimal in the right location
1 Count the total number of decimal places in all of the factors
2 Starting from the right of the product count the total number of decimal places towards the left and place the decimal point there
214x 036
3 total decimal places
7 704
Multiplication of DecimalsMultiplication of Decimals
Examples 920 x 37
= 34040000079 x 0025
= 000001975Class Examples
870 x 46 = 40020
0000086 x 0057 = 0000004902
Multiplication of DecimalsMultiplication of Decimals
To multiply a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the right the same number of times as there are zeros38925 x 10
= 3892538925 x 100
= 3892538925 x 1000
= 3892538925 x 10000
= 389250 38925 x 100000
=3892500 (Note we added a zero before the decimal)
Division of DecimalsDivision of Decimals
Dividing decimals is similar to dividing whole numbers Same questionhellipwhat about the decimal place
Where does that goSteps
1Make the divisor a whole number by shifting the decimal to the right as many times as necessary
2Move the decimal in the dividend the same number of times that we moved it in the divisor
7 0 6 4 2 0 9 0
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Add zeros to the end of the dividend so that we can round to the desired place value
Example Round quotient to nearest tenth write 2 zeros after the decimal
Round quotient to nearest thousandth need 4 zeros after the decimal
706 4209000
706 420900000
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Do the division as if it were whole numbers2 Put the decimal place in the quotient directly
over the decimal point in the dividend
706 4209000
0005961 asymp 596
Division of DecimalsDivision of Decimals
ExamplesDivide 58092 divide 82 round to the nearest
thousandth = 07084 asymp 0708
Divide 4209 divide 706 round to the nearest tenth = 5961 asymp 596
Divide 2178 divide 0039 round to the nearest hundredth asymp 5585
Division of DecimalsDivision of Decimals
Class ExamplesDivide 37042 divide 76 round to the nearest
thousandth = 04873 asymp 0487
Divide 3702 divide 509 round to the nearest tenth = 7273 asymp 727
Division of DecimalsDivision of Decimals
To divide a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the left the same number of times as there are zeros Fill in the blank spaces with zeros3465 divide 10 or 101
= 34653465 divide 100 or 102
= 034653465 divide 1000 or 103
= 0034653465 divide 10000 or 104
= 0003465
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
Fractions and decimals are two ways of representing parts of a whole number frac14 is a portion of 1 whole 0345 is a portion of 1 whole
Every fraction can be written as a decimalEvery decimal can be written as a fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a fraction decimalSteps
1 Divide the numerator of the fraction by the denominator
2 Round the quotient to a desired place valueExample
Convert 37 to a decimal and round to nearest Hundredth and Thousandth
= 042857 Nearest Hundredth 043 Nearest Thousandth 0429
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 38 to a decimal round to nearest
hundredth = 0375 asymp 038
Convert 2 frac34 to a decimal round to nearest tenth = 275 asymp 28
Class ExamplesConvert 916 to a decimal round to nearest tenth
= 06Convert 4 16 to a decimal round to nearest
hundredth = 417
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a decimal fractionSteps
1 Count the number of decimal places2 Remove the decimal point (and any leading zeros)3 Put the decimal part over a denominator
The denominator is a factor of 10 that has the same number of zeros as decimal places (from step 1)
4 Put the fraction in simplest formExample
Convert 047 to a fraction = 47100
Convert 0275 to a fraction 2751000 = 1140
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 082 to a fraction
= 82100 = 241 250 = 4150Convert 475 to a fraction
= 4 75100 = 4 325425 = 4 34Class Examples
Convert 056 to a fraction = 56100 = 414 425
Convert 535 to a fraction = 5 35100 = 5 75 520 = 5 720
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
AdditionSubtraction of DecimalsAdditionSubtraction of Decimals
Examples (Subtraction)Subtract 39047 ndash 796
= 31087Find 923 less than 29
= 1977Class Examples (Subtraction)
Subtract 72039 ndash 847 = 63569
Subtract 35 ndash 967 = 2533
Multiplication of DecimalsMultiplication of Decimals
Multiplication of decimals is similar to multiplication of whole numbersQuestion Where does decimal go
Check thishellip03 x 5 = 15
Start with 1 decimal place answer has 1 decimal place
03 x 05 = 015 Start with a total of 2 decimal places answer has
2 decimal places03 x 005 = 0015
Start with a total of 3 decimal places answer has 3 decimal places
Multiplication of DecimalsMultiplication of Decimals
Multiplication Steps1 Do the multiplication as if it were whole
numbers2 To place the decimal in the right location
1 Count the total number of decimal places in all of the factors
2 Starting from the right of the product count the total number of decimal places towards the left and place the decimal point there
214x 036
3 total decimal places
7 704
Multiplication of DecimalsMultiplication of Decimals
Examples 920 x 37
= 34040000079 x 0025
= 000001975Class Examples
870 x 46 = 40020
0000086 x 0057 = 0000004902
Multiplication of DecimalsMultiplication of Decimals
To multiply a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the right the same number of times as there are zeros38925 x 10
= 3892538925 x 100
= 3892538925 x 1000
= 3892538925 x 10000
= 389250 38925 x 100000
=3892500 (Note we added a zero before the decimal)
Division of DecimalsDivision of Decimals
Dividing decimals is similar to dividing whole numbers Same questionhellipwhat about the decimal place
Where does that goSteps
1Make the divisor a whole number by shifting the decimal to the right as many times as necessary
2Move the decimal in the dividend the same number of times that we moved it in the divisor
7 0 6 4 2 0 9 0
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Add zeros to the end of the dividend so that we can round to the desired place value
Example Round quotient to nearest tenth write 2 zeros after the decimal
Round quotient to nearest thousandth need 4 zeros after the decimal
706 4209000
706 420900000
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Do the division as if it were whole numbers2 Put the decimal place in the quotient directly
over the decimal point in the dividend
706 4209000
0005961 asymp 596
Division of DecimalsDivision of Decimals
ExamplesDivide 58092 divide 82 round to the nearest
thousandth = 07084 asymp 0708
Divide 4209 divide 706 round to the nearest tenth = 5961 asymp 596
Divide 2178 divide 0039 round to the nearest hundredth asymp 5585
Division of DecimalsDivision of Decimals
Class ExamplesDivide 37042 divide 76 round to the nearest
thousandth = 04873 asymp 0487
Divide 3702 divide 509 round to the nearest tenth = 7273 asymp 727
Division of DecimalsDivision of Decimals
To divide a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the left the same number of times as there are zeros Fill in the blank spaces with zeros3465 divide 10 or 101
= 34653465 divide 100 or 102
= 034653465 divide 1000 or 103
= 0034653465 divide 10000 or 104
= 0003465
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
Fractions and decimals are two ways of representing parts of a whole number frac14 is a portion of 1 whole 0345 is a portion of 1 whole
Every fraction can be written as a decimalEvery decimal can be written as a fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a fraction decimalSteps
1 Divide the numerator of the fraction by the denominator
2 Round the quotient to a desired place valueExample
Convert 37 to a decimal and round to nearest Hundredth and Thousandth
= 042857 Nearest Hundredth 043 Nearest Thousandth 0429
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 38 to a decimal round to nearest
hundredth = 0375 asymp 038
Convert 2 frac34 to a decimal round to nearest tenth = 275 asymp 28
Class ExamplesConvert 916 to a decimal round to nearest tenth
= 06Convert 4 16 to a decimal round to nearest
hundredth = 417
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a decimal fractionSteps
1 Count the number of decimal places2 Remove the decimal point (and any leading zeros)3 Put the decimal part over a denominator
The denominator is a factor of 10 that has the same number of zeros as decimal places (from step 1)
4 Put the fraction in simplest formExample
Convert 047 to a fraction = 47100
Convert 0275 to a fraction 2751000 = 1140
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 082 to a fraction
= 82100 = 241 250 = 4150Convert 475 to a fraction
= 4 75100 = 4 325425 = 4 34Class Examples
Convert 056 to a fraction = 56100 = 414 425
Convert 535 to a fraction = 5 35100 = 5 75 520 = 5 720
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
Multiplication of DecimalsMultiplication of Decimals
Multiplication of decimals is similar to multiplication of whole numbersQuestion Where does decimal go
Check thishellip03 x 5 = 15
Start with 1 decimal place answer has 1 decimal place
03 x 05 = 015 Start with a total of 2 decimal places answer has
2 decimal places03 x 005 = 0015
Start with a total of 3 decimal places answer has 3 decimal places
Multiplication of DecimalsMultiplication of Decimals
Multiplication Steps1 Do the multiplication as if it were whole
numbers2 To place the decimal in the right location
1 Count the total number of decimal places in all of the factors
2 Starting from the right of the product count the total number of decimal places towards the left and place the decimal point there
214x 036
3 total decimal places
7 704
Multiplication of DecimalsMultiplication of Decimals
Examples 920 x 37
= 34040000079 x 0025
= 000001975Class Examples
870 x 46 = 40020
0000086 x 0057 = 0000004902
Multiplication of DecimalsMultiplication of Decimals
To multiply a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the right the same number of times as there are zeros38925 x 10
= 3892538925 x 100
= 3892538925 x 1000
= 3892538925 x 10000
= 389250 38925 x 100000
=3892500 (Note we added a zero before the decimal)
Division of DecimalsDivision of Decimals
Dividing decimals is similar to dividing whole numbers Same questionhellipwhat about the decimal place
Where does that goSteps
1Make the divisor a whole number by shifting the decimal to the right as many times as necessary
2Move the decimal in the dividend the same number of times that we moved it in the divisor
7 0 6 4 2 0 9 0
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Add zeros to the end of the dividend so that we can round to the desired place value
Example Round quotient to nearest tenth write 2 zeros after the decimal
Round quotient to nearest thousandth need 4 zeros after the decimal
706 4209000
706 420900000
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Do the division as if it were whole numbers2 Put the decimal place in the quotient directly
over the decimal point in the dividend
706 4209000
0005961 asymp 596
Division of DecimalsDivision of Decimals
ExamplesDivide 58092 divide 82 round to the nearest
thousandth = 07084 asymp 0708
Divide 4209 divide 706 round to the nearest tenth = 5961 asymp 596
Divide 2178 divide 0039 round to the nearest hundredth asymp 5585
Division of DecimalsDivision of Decimals
Class ExamplesDivide 37042 divide 76 round to the nearest
thousandth = 04873 asymp 0487
Divide 3702 divide 509 round to the nearest tenth = 7273 asymp 727
Division of DecimalsDivision of Decimals
To divide a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the left the same number of times as there are zeros Fill in the blank spaces with zeros3465 divide 10 or 101
= 34653465 divide 100 or 102
= 034653465 divide 1000 or 103
= 0034653465 divide 10000 or 104
= 0003465
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
Fractions and decimals are two ways of representing parts of a whole number frac14 is a portion of 1 whole 0345 is a portion of 1 whole
Every fraction can be written as a decimalEvery decimal can be written as a fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a fraction decimalSteps
1 Divide the numerator of the fraction by the denominator
2 Round the quotient to a desired place valueExample
Convert 37 to a decimal and round to nearest Hundredth and Thousandth
= 042857 Nearest Hundredth 043 Nearest Thousandth 0429
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 38 to a decimal round to nearest
hundredth = 0375 asymp 038
Convert 2 frac34 to a decimal round to nearest tenth = 275 asymp 28
Class ExamplesConvert 916 to a decimal round to nearest tenth
= 06Convert 4 16 to a decimal round to nearest
hundredth = 417
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a decimal fractionSteps
1 Count the number of decimal places2 Remove the decimal point (and any leading zeros)3 Put the decimal part over a denominator
The denominator is a factor of 10 that has the same number of zeros as decimal places (from step 1)
4 Put the fraction in simplest formExample
Convert 047 to a fraction = 47100
Convert 0275 to a fraction 2751000 = 1140
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 082 to a fraction
= 82100 = 241 250 = 4150Convert 475 to a fraction
= 4 75100 = 4 325425 = 4 34Class Examples
Convert 056 to a fraction = 56100 = 414 425
Convert 535 to a fraction = 5 35100 = 5 75 520 = 5 720
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
Multiplication of DecimalsMultiplication of Decimals
Multiplication Steps1 Do the multiplication as if it were whole
numbers2 To place the decimal in the right location
1 Count the total number of decimal places in all of the factors
2 Starting from the right of the product count the total number of decimal places towards the left and place the decimal point there
214x 036
3 total decimal places
7 704
Multiplication of DecimalsMultiplication of Decimals
Examples 920 x 37
= 34040000079 x 0025
= 000001975Class Examples
870 x 46 = 40020
0000086 x 0057 = 0000004902
Multiplication of DecimalsMultiplication of Decimals
To multiply a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the right the same number of times as there are zeros38925 x 10
= 3892538925 x 100
= 3892538925 x 1000
= 3892538925 x 10000
= 389250 38925 x 100000
=3892500 (Note we added a zero before the decimal)
Division of DecimalsDivision of Decimals
Dividing decimals is similar to dividing whole numbers Same questionhellipwhat about the decimal place
Where does that goSteps
1Make the divisor a whole number by shifting the decimal to the right as many times as necessary
2Move the decimal in the dividend the same number of times that we moved it in the divisor
7 0 6 4 2 0 9 0
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Add zeros to the end of the dividend so that we can round to the desired place value
Example Round quotient to nearest tenth write 2 zeros after the decimal
Round quotient to nearest thousandth need 4 zeros after the decimal
706 4209000
706 420900000
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Do the division as if it were whole numbers2 Put the decimal place in the quotient directly
over the decimal point in the dividend
706 4209000
0005961 asymp 596
Division of DecimalsDivision of Decimals
ExamplesDivide 58092 divide 82 round to the nearest
thousandth = 07084 asymp 0708
Divide 4209 divide 706 round to the nearest tenth = 5961 asymp 596
Divide 2178 divide 0039 round to the nearest hundredth asymp 5585
Division of DecimalsDivision of Decimals
Class ExamplesDivide 37042 divide 76 round to the nearest
thousandth = 04873 asymp 0487
Divide 3702 divide 509 round to the nearest tenth = 7273 asymp 727
Division of DecimalsDivision of Decimals
To divide a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the left the same number of times as there are zeros Fill in the blank spaces with zeros3465 divide 10 or 101
= 34653465 divide 100 or 102
= 034653465 divide 1000 or 103
= 0034653465 divide 10000 or 104
= 0003465
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
Fractions and decimals are two ways of representing parts of a whole number frac14 is a portion of 1 whole 0345 is a portion of 1 whole
Every fraction can be written as a decimalEvery decimal can be written as a fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a fraction decimalSteps
1 Divide the numerator of the fraction by the denominator
2 Round the quotient to a desired place valueExample
Convert 37 to a decimal and round to nearest Hundredth and Thousandth
= 042857 Nearest Hundredth 043 Nearest Thousandth 0429
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 38 to a decimal round to nearest
hundredth = 0375 asymp 038
Convert 2 frac34 to a decimal round to nearest tenth = 275 asymp 28
Class ExamplesConvert 916 to a decimal round to nearest tenth
= 06Convert 4 16 to a decimal round to nearest
hundredth = 417
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a decimal fractionSteps
1 Count the number of decimal places2 Remove the decimal point (and any leading zeros)3 Put the decimal part over a denominator
The denominator is a factor of 10 that has the same number of zeros as decimal places (from step 1)
4 Put the fraction in simplest formExample
Convert 047 to a fraction = 47100
Convert 0275 to a fraction 2751000 = 1140
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 082 to a fraction
= 82100 = 241 250 = 4150Convert 475 to a fraction
= 4 75100 = 4 325425 = 4 34Class Examples
Convert 056 to a fraction = 56100 = 414 425
Convert 535 to a fraction = 5 35100 = 5 75 520 = 5 720
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
Multiplication of DecimalsMultiplication of Decimals
Examples 920 x 37
= 34040000079 x 0025
= 000001975Class Examples
870 x 46 = 40020
0000086 x 0057 = 0000004902
Multiplication of DecimalsMultiplication of Decimals
To multiply a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the right the same number of times as there are zeros38925 x 10
= 3892538925 x 100
= 3892538925 x 1000
= 3892538925 x 10000
= 389250 38925 x 100000
=3892500 (Note we added a zero before the decimal)
Division of DecimalsDivision of Decimals
Dividing decimals is similar to dividing whole numbers Same questionhellipwhat about the decimal place
Where does that goSteps
1Make the divisor a whole number by shifting the decimal to the right as many times as necessary
2Move the decimal in the dividend the same number of times that we moved it in the divisor
7 0 6 4 2 0 9 0
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Add zeros to the end of the dividend so that we can round to the desired place value
Example Round quotient to nearest tenth write 2 zeros after the decimal
Round quotient to nearest thousandth need 4 zeros after the decimal
706 4209000
706 420900000
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Do the division as if it were whole numbers2 Put the decimal place in the quotient directly
over the decimal point in the dividend
706 4209000
0005961 asymp 596
Division of DecimalsDivision of Decimals
ExamplesDivide 58092 divide 82 round to the nearest
thousandth = 07084 asymp 0708
Divide 4209 divide 706 round to the nearest tenth = 5961 asymp 596
Divide 2178 divide 0039 round to the nearest hundredth asymp 5585
Division of DecimalsDivision of Decimals
Class ExamplesDivide 37042 divide 76 round to the nearest
thousandth = 04873 asymp 0487
Divide 3702 divide 509 round to the nearest tenth = 7273 asymp 727
Division of DecimalsDivision of Decimals
To divide a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the left the same number of times as there are zeros Fill in the blank spaces with zeros3465 divide 10 or 101
= 34653465 divide 100 or 102
= 034653465 divide 1000 or 103
= 0034653465 divide 10000 or 104
= 0003465
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
Fractions and decimals are two ways of representing parts of a whole number frac14 is a portion of 1 whole 0345 is a portion of 1 whole
Every fraction can be written as a decimalEvery decimal can be written as a fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a fraction decimalSteps
1 Divide the numerator of the fraction by the denominator
2 Round the quotient to a desired place valueExample
Convert 37 to a decimal and round to nearest Hundredth and Thousandth
= 042857 Nearest Hundredth 043 Nearest Thousandth 0429
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 38 to a decimal round to nearest
hundredth = 0375 asymp 038
Convert 2 frac34 to a decimal round to nearest tenth = 275 asymp 28
Class ExamplesConvert 916 to a decimal round to nearest tenth
= 06Convert 4 16 to a decimal round to nearest
hundredth = 417
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a decimal fractionSteps
1 Count the number of decimal places2 Remove the decimal point (and any leading zeros)3 Put the decimal part over a denominator
The denominator is a factor of 10 that has the same number of zeros as decimal places (from step 1)
4 Put the fraction in simplest formExample
Convert 047 to a fraction = 47100
Convert 0275 to a fraction 2751000 = 1140
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 082 to a fraction
= 82100 = 241 250 = 4150Convert 475 to a fraction
= 4 75100 = 4 325425 = 4 34Class Examples
Convert 056 to a fraction = 56100 = 414 425
Convert 535 to a fraction = 5 35100 = 5 75 520 = 5 720
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
Multiplication of DecimalsMultiplication of Decimals
To multiply a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the right the same number of times as there are zeros38925 x 10
= 3892538925 x 100
= 3892538925 x 1000
= 3892538925 x 10000
= 389250 38925 x 100000
=3892500 (Note we added a zero before the decimal)
Division of DecimalsDivision of Decimals
Dividing decimals is similar to dividing whole numbers Same questionhellipwhat about the decimal place
Where does that goSteps
1Make the divisor a whole number by shifting the decimal to the right as many times as necessary
2Move the decimal in the dividend the same number of times that we moved it in the divisor
7 0 6 4 2 0 9 0
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Add zeros to the end of the dividend so that we can round to the desired place value
Example Round quotient to nearest tenth write 2 zeros after the decimal
Round quotient to nearest thousandth need 4 zeros after the decimal
706 4209000
706 420900000
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Do the division as if it were whole numbers2 Put the decimal place in the quotient directly
over the decimal point in the dividend
706 4209000
0005961 asymp 596
Division of DecimalsDivision of Decimals
ExamplesDivide 58092 divide 82 round to the nearest
thousandth = 07084 asymp 0708
Divide 4209 divide 706 round to the nearest tenth = 5961 asymp 596
Divide 2178 divide 0039 round to the nearest hundredth asymp 5585
Division of DecimalsDivision of Decimals
Class ExamplesDivide 37042 divide 76 round to the nearest
thousandth = 04873 asymp 0487
Divide 3702 divide 509 round to the nearest tenth = 7273 asymp 727
Division of DecimalsDivision of Decimals
To divide a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the left the same number of times as there are zeros Fill in the blank spaces with zeros3465 divide 10 or 101
= 34653465 divide 100 or 102
= 034653465 divide 1000 or 103
= 0034653465 divide 10000 or 104
= 0003465
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
Fractions and decimals are two ways of representing parts of a whole number frac14 is a portion of 1 whole 0345 is a portion of 1 whole
Every fraction can be written as a decimalEvery decimal can be written as a fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a fraction decimalSteps
1 Divide the numerator of the fraction by the denominator
2 Round the quotient to a desired place valueExample
Convert 37 to a decimal and round to nearest Hundredth and Thousandth
= 042857 Nearest Hundredth 043 Nearest Thousandth 0429
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 38 to a decimal round to nearest
hundredth = 0375 asymp 038
Convert 2 frac34 to a decimal round to nearest tenth = 275 asymp 28
Class ExamplesConvert 916 to a decimal round to nearest tenth
= 06Convert 4 16 to a decimal round to nearest
hundredth = 417
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a decimal fractionSteps
1 Count the number of decimal places2 Remove the decimal point (and any leading zeros)3 Put the decimal part over a denominator
The denominator is a factor of 10 that has the same number of zeros as decimal places (from step 1)
4 Put the fraction in simplest formExample
Convert 047 to a fraction = 47100
Convert 0275 to a fraction 2751000 = 1140
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 082 to a fraction
= 82100 = 241 250 = 4150Convert 475 to a fraction
= 4 75100 = 4 325425 = 4 34Class Examples
Convert 056 to a fraction = 56100 = 414 425
Convert 535 to a fraction = 5 35100 = 5 75 520 = 5 720
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
Division of DecimalsDivision of Decimals
Dividing decimals is similar to dividing whole numbers Same questionhellipwhat about the decimal place
Where does that goSteps
1Make the divisor a whole number by shifting the decimal to the right as many times as necessary
2Move the decimal in the dividend the same number of times that we moved it in the divisor
7 0 6 4 2 0 9 0
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Add zeros to the end of the dividend so that we can round to the desired place value
Example Round quotient to nearest tenth write 2 zeros after the decimal
Round quotient to nearest thousandth need 4 zeros after the decimal
706 4209000
706 420900000
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Do the division as if it were whole numbers2 Put the decimal place in the quotient directly
over the decimal point in the dividend
706 4209000
0005961 asymp 596
Division of DecimalsDivision of Decimals
ExamplesDivide 58092 divide 82 round to the nearest
thousandth = 07084 asymp 0708
Divide 4209 divide 706 round to the nearest tenth = 5961 asymp 596
Divide 2178 divide 0039 round to the nearest hundredth asymp 5585
Division of DecimalsDivision of Decimals
Class ExamplesDivide 37042 divide 76 round to the nearest
thousandth = 04873 asymp 0487
Divide 3702 divide 509 round to the nearest tenth = 7273 asymp 727
Division of DecimalsDivision of Decimals
To divide a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the left the same number of times as there are zeros Fill in the blank spaces with zeros3465 divide 10 or 101
= 34653465 divide 100 or 102
= 034653465 divide 1000 or 103
= 0034653465 divide 10000 or 104
= 0003465
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
Fractions and decimals are two ways of representing parts of a whole number frac14 is a portion of 1 whole 0345 is a portion of 1 whole
Every fraction can be written as a decimalEvery decimal can be written as a fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a fraction decimalSteps
1 Divide the numerator of the fraction by the denominator
2 Round the quotient to a desired place valueExample
Convert 37 to a decimal and round to nearest Hundredth and Thousandth
= 042857 Nearest Hundredth 043 Nearest Thousandth 0429
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 38 to a decimal round to nearest
hundredth = 0375 asymp 038
Convert 2 frac34 to a decimal round to nearest tenth = 275 asymp 28
Class ExamplesConvert 916 to a decimal round to nearest tenth
= 06Convert 4 16 to a decimal round to nearest
hundredth = 417
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a decimal fractionSteps
1 Count the number of decimal places2 Remove the decimal point (and any leading zeros)3 Put the decimal part over a denominator
The denominator is a factor of 10 that has the same number of zeros as decimal places (from step 1)
4 Put the fraction in simplest formExample
Convert 047 to a fraction = 47100
Convert 0275 to a fraction 2751000 = 1140
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 082 to a fraction
= 82100 = 241 250 = 4150Convert 475 to a fraction
= 4 75100 = 4 325425 = 4 34Class Examples
Convert 056 to a fraction = 56100 = 414 425
Convert 535 to a fraction = 5 35100 = 5 75 520 = 5 720
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Add zeros to the end of the dividend so that we can round to the desired place value
Example Round quotient to nearest tenth write 2 zeros after the decimal
Round quotient to nearest thousandth need 4 zeros after the decimal
706 4209000
706 420900000
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Do the division as if it were whole numbers2 Put the decimal place in the quotient directly
over the decimal point in the dividend
706 4209000
0005961 asymp 596
Division of DecimalsDivision of Decimals
ExamplesDivide 58092 divide 82 round to the nearest
thousandth = 07084 asymp 0708
Divide 4209 divide 706 round to the nearest tenth = 5961 asymp 596
Divide 2178 divide 0039 round to the nearest hundredth asymp 5585
Division of DecimalsDivision of Decimals
Class ExamplesDivide 37042 divide 76 round to the nearest
thousandth = 04873 asymp 0487
Divide 3702 divide 509 round to the nearest tenth = 7273 asymp 727
Division of DecimalsDivision of Decimals
To divide a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the left the same number of times as there are zeros Fill in the blank spaces with zeros3465 divide 10 or 101
= 34653465 divide 100 or 102
= 034653465 divide 1000 or 103
= 0034653465 divide 10000 or 104
= 0003465
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
Fractions and decimals are two ways of representing parts of a whole number frac14 is a portion of 1 whole 0345 is a portion of 1 whole
Every fraction can be written as a decimalEvery decimal can be written as a fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a fraction decimalSteps
1 Divide the numerator of the fraction by the denominator
2 Round the quotient to a desired place valueExample
Convert 37 to a decimal and round to nearest Hundredth and Thousandth
= 042857 Nearest Hundredth 043 Nearest Thousandth 0429
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 38 to a decimal round to nearest
hundredth = 0375 asymp 038
Convert 2 frac34 to a decimal round to nearest tenth = 275 asymp 28
Class ExamplesConvert 916 to a decimal round to nearest tenth
= 06Convert 4 16 to a decimal round to nearest
hundredth = 417
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a decimal fractionSteps
1 Count the number of decimal places2 Remove the decimal point (and any leading zeros)3 Put the decimal part over a denominator
The denominator is a factor of 10 that has the same number of zeros as decimal places (from step 1)
4 Put the fraction in simplest formExample
Convert 047 to a fraction = 47100
Convert 0275 to a fraction 2751000 = 1140
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 082 to a fraction
= 82100 = 241 250 = 4150Convert 475 to a fraction
= 4 75100 = 4 325425 = 4 34Class Examples
Convert 056 to a fraction = 56100 = 414 425
Convert 535 to a fraction = 5 35100 = 5 75 520 = 5 720
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
Division of DecimalsDivision of Decimals
Dividing decimalshellipcontdSteps
1 Do the division as if it were whole numbers2 Put the decimal place in the quotient directly
over the decimal point in the dividend
706 4209000
0005961 asymp 596
Division of DecimalsDivision of Decimals
ExamplesDivide 58092 divide 82 round to the nearest
thousandth = 07084 asymp 0708
Divide 4209 divide 706 round to the nearest tenth = 5961 asymp 596
Divide 2178 divide 0039 round to the nearest hundredth asymp 5585
Division of DecimalsDivision of Decimals
Class ExamplesDivide 37042 divide 76 round to the nearest
thousandth = 04873 asymp 0487
Divide 3702 divide 509 round to the nearest tenth = 7273 asymp 727
Division of DecimalsDivision of Decimals
To divide a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the left the same number of times as there are zeros Fill in the blank spaces with zeros3465 divide 10 or 101
= 34653465 divide 100 or 102
= 034653465 divide 1000 or 103
= 0034653465 divide 10000 or 104
= 0003465
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
Fractions and decimals are two ways of representing parts of a whole number frac14 is a portion of 1 whole 0345 is a portion of 1 whole
Every fraction can be written as a decimalEvery decimal can be written as a fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a fraction decimalSteps
1 Divide the numerator of the fraction by the denominator
2 Round the quotient to a desired place valueExample
Convert 37 to a decimal and round to nearest Hundredth and Thousandth
= 042857 Nearest Hundredth 043 Nearest Thousandth 0429
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 38 to a decimal round to nearest
hundredth = 0375 asymp 038
Convert 2 frac34 to a decimal round to nearest tenth = 275 asymp 28
Class ExamplesConvert 916 to a decimal round to nearest tenth
= 06Convert 4 16 to a decimal round to nearest
hundredth = 417
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a decimal fractionSteps
1 Count the number of decimal places2 Remove the decimal point (and any leading zeros)3 Put the decimal part over a denominator
The denominator is a factor of 10 that has the same number of zeros as decimal places (from step 1)
4 Put the fraction in simplest formExample
Convert 047 to a fraction = 47100
Convert 0275 to a fraction 2751000 = 1140
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 082 to a fraction
= 82100 = 241 250 = 4150Convert 475 to a fraction
= 4 75100 = 4 325425 = 4 34Class Examples
Convert 056 to a fraction = 56100 = 414 425
Convert 535 to a fraction = 5 35100 = 5 75 520 = 5 720
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
Division of DecimalsDivision of Decimals
ExamplesDivide 58092 divide 82 round to the nearest
thousandth = 07084 asymp 0708
Divide 4209 divide 706 round to the nearest tenth = 5961 asymp 596
Divide 2178 divide 0039 round to the nearest hundredth asymp 5585
Division of DecimalsDivision of Decimals
Class ExamplesDivide 37042 divide 76 round to the nearest
thousandth = 04873 asymp 0487
Divide 3702 divide 509 round to the nearest tenth = 7273 asymp 727
Division of DecimalsDivision of Decimals
To divide a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the left the same number of times as there are zeros Fill in the blank spaces with zeros3465 divide 10 or 101
= 34653465 divide 100 or 102
= 034653465 divide 1000 or 103
= 0034653465 divide 10000 or 104
= 0003465
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
Fractions and decimals are two ways of representing parts of a whole number frac14 is a portion of 1 whole 0345 is a portion of 1 whole
Every fraction can be written as a decimalEvery decimal can be written as a fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a fraction decimalSteps
1 Divide the numerator of the fraction by the denominator
2 Round the quotient to a desired place valueExample
Convert 37 to a decimal and round to nearest Hundredth and Thousandth
= 042857 Nearest Hundredth 043 Nearest Thousandth 0429
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 38 to a decimal round to nearest
hundredth = 0375 asymp 038
Convert 2 frac34 to a decimal round to nearest tenth = 275 asymp 28
Class ExamplesConvert 916 to a decimal round to nearest tenth
= 06Convert 4 16 to a decimal round to nearest
hundredth = 417
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a decimal fractionSteps
1 Count the number of decimal places2 Remove the decimal point (and any leading zeros)3 Put the decimal part over a denominator
The denominator is a factor of 10 that has the same number of zeros as decimal places (from step 1)
4 Put the fraction in simplest formExample
Convert 047 to a fraction = 47100
Convert 0275 to a fraction 2751000 = 1140
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 082 to a fraction
= 82100 = 241 250 = 4150Convert 475 to a fraction
= 4 75100 = 4 325425 = 4 34Class Examples
Convert 056 to a fraction = 56100 = 414 425
Convert 535 to a fraction = 5 35100 = 5 75 520 = 5 720
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
Division of DecimalsDivision of Decimals
Class ExamplesDivide 37042 divide 76 round to the nearest
thousandth = 04873 asymp 0487
Divide 3702 divide 509 round to the nearest tenth = 7273 asymp 727
Division of DecimalsDivision of Decimals
To divide a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the left the same number of times as there are zeros Fill in the blank spaces with zeros3465 divide 10 or 101
= 34653465 divide 100 or 102
= 034653465 divide 1000 or 103
= 0034653465 divide 10000 or 104
= 0003465
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
Fractions and decimals are two ways of representing parts of a whole number frac14 is a portion of 1 whole 0345 is a portion of 1 whole
Every fraction can be written as a decimalEvery decimal can be written as a fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a fraction decimalSteps
1 Divide the numerator of the fraction by the denominator
2 Round the quotient to a desired place valueExample
Convert 37 to a decimal and round to nearest Hundredth and Thousandth
= 042857 Nearest Hundredth 043 Nearest Thousandth 0429
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 38 to a decimal round to nearest
hundredth = 0375 asymp 038
Convert 2 frac34 to a decimal round to nearest tenth = 275 asymp 28
Class ExamplesConvert 916 to a decimal round to nearest tenth
= 06Convert 4 16 to a decimal round to nearest
hundredth = 417
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a decimal fractionSteps
1 Count the number of decimal places2 Remove the decimal point (and any leading zeros)3 Put the decimal part over a denominator
The denominator is a factor of 10 that has the same number of zeros as decimal places (from step 1)
4 Put the fraction in simplest formExample
Convert 047 to a fraction = 47100
Convert 0275 to a fraction 2751000 = 1140
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 082 to a fraction
= 82100 = 241 250 = 4150Convert 475 to a fraction
= 4 75100 = 4 325425 = 4 34Class Examples
Convert 056 to a fraction = 56100 = 414 425
Convert 535 to a fraction = 5 35100 = 5 75 520 = 5 720
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
Division of DecimalsDivision of Decimals
To divide a decimal by a power of 10 (for example 10 100 1000 etc) move the decimal to the left the same number of times as there are zeros Fill in the blank spaces with zeros3465 divide 10 or 101
= 34653465 divide 100 or 102
= 034653465 divide 1000 or 103
= 0034653465 divide 10000 or 104
= 0003465
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
Fractions and decimals are two ways of representing parts of a whole number frac14 is a portion of 1 whole 0345 is a portion of 1 whole
Every fraction can be written as a decimalEvery decimal can be written as a fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a fraction decimalSteps
1 Divide the numerator of the fraction by the denominator
2 Round the quotient to a desired place valueExample
Convert 37 to a decimal and round to nearest Hundredth and Thousandth
= 042857 Nearest Hundredth 043 Nearest Thousandth 0429
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 38 to a decimal round to nearest
hundredth = 0375 asymp 038
Convert 2 frac34 to a decimal round to nearest tenth = 275 asymp 28
Class ExamplesConvert 916 to a decimal round to nearest tenth
= 06Convert 4 16 to a decimal round to nearest
hundredth = 417
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a decimal fractionSteps
1 Count the number of decimal places2 Remove the decimal point (and any leading zeros)3 Put the decimal part over a denominator
The denominator is a factor of 10 that has the same number of zeros as decimal places (from step 1)
4 Put the fraction in simplest formExample
Convert 047 to a fraction = 47100
Convert 0275 to a fraction 2751000 = 1140
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 082 to a fraction
= 82100 = 241 250 = 4150Convert 475 to a fraction
= 4 75100 = 4 325425 = 4 34Class Examples
Convert 056 to a fraction = 56100 = 414 425
Convert 535 to a fraction = 5 35100 = 5 75 520 = 5 720
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
Fractions and decimals are two ways of representing parts of a whole number frac14 is a portion of 1 whole 0345 is a portion of 1 whole
Every fraction can be written as a decimalEvery decimal can be written as a fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a fraction decimalSteps
1 Divide the numerator of the fraction by the denominator
2 Round the quotient to a desired place valueExample
Convert 37 to a decimal and round to nearest Hundredth and Thousandth
= 042857 Nearest Hundredth 043 Nearest Thousandth 0429
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 38 to a decimal round to nearest
hundredth = 0375 asymp 038
Convert 2 frac34 to a decimal round to nearest tenth = 275 asymp 28
Class ExamplesConvert 916 to a decimal round to nearest tenth
= 06Convert 4 16 to a decimal round to nearest
hundredth = 417
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a decimal fractionSteps
1 Count the number of decimal places2 Remove the decimal point (and any leading zeros)3 Put the decimal part over a denominator
The denominator is a factor of 10 that has the same number of zeros as decimal places (from step 1)
4 Put the fraction in simplest formExample
Convert 047 to a fraction = 47100
Convert 0275 to a fraction 2751000 = 1140
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 082 to a fraction
= 82100 = 241 250 = 4150Convert 475 to a fraction
= 4 75100 = 4 325425 = 4 34Class Examples
Convert 056 to a fraction = 56100 = 414 425
Convert 535 to a fraction = 5 35100 = 5 75 520 = 5 720
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a fraction decimalSteps
1 Divide the numerator of the fraction by the denominator
2 Round the quotient to a desired place valueExample
Convert 37 to a decimal and round to nearest Hundredth and Thousandth
= 042857 Nearest Hundredth 043 Nearest Thousandth 0429
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 38 to a decimal round to nearest
hundredth = 0375 asymp 038
Convert 2 frac34 to a decimal round to nearest tenth = 275 asymp 28
Class ExamplesConvert 916 to a decimal round to nearest tenth
= 06Convert 4 16 to a decimal round to nearest
hundredth = 417
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a decimal fractionSteps
1 Count the number of decimal places2 Remove the decimal point (and any leading zeros)3 Put the decimal part over a denominator
The denominator is a factor of 10 that has the same number of zeros as decimal places (from step 1)
4 Put the fraction in simplest formExample
Convert 047 to a fraction = 47100
Convert 0275 to a fraction 2751000 = 1140
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 082 to a fraction
= 82100 = 241 250 = 4150Convert 475 to a fraction
= 4 75100 = 4 325425 = 4 34Class Examples
Convert 056 to a fraction = 56100 = 414 425
Convert 535 to a fraction = 5 35100 = 5 75 520 = 5 720
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 38 to a decimal round to nearest
hundredth = 0375 asymp 038
Convert 2 frac34 to a decimal round to nearest tenth = 275 asymp 28
Class ExamplesConvert 916 to a decimal round to nearest tenth
= 06Convert 4 16 to a decimal round to nearest
hundredth = 417
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a decimal fractionSteps
1 Count the number of decimal places2 Remove the decimal point (and any leading zeros)3 Put the decimal part over a denominator
The denominator is a factor of 10 that has the same number of zeros as decimal places (from step 1)
4 Put the fraction in simplest formExample
Convert 047 to a fraction = 47100
Convert 0275 to a fraction 2751000 = 1140
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 082 to a fraction
= 82100 = 241 250 = 4150Convert 475 to a fraction
= 4 75100 = 4 325425 = 4 34Class Examples
Convert 056 to a fraction = 56100 = 414 425
Convert 535 to a fraction = 5 35100 = 5 75 520 = 5 720
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
To convert a decimal fractionSteps
1 Count the number of decimal places2 Remove the decimal point (and any leading zeros)3 Put the decimal part over a denominator
The denominator is a factor of 10 that has the same number of zeros as decimal places (from step 1)
4 Put the fraction in simplest formExample
Convert 047 to a fraction = 47100
Convert 0275 to a fraction 2751000 = 1140
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 082 to a fraction
= 82100 = 241 250 = 4150Convert 475 to a fraction
= 4 75100 = 4 325425 = 4 34Class Examples
Convert 056 to a fraction = 56100 = 414 425
Convert 535 to a fraction = 5 35100 = 5 75 520 = 5 720
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesConvert 082 to a fraction
= 82100 = 241 250 = 4150Convert 475 to a fraction
= 4 75100 = 4 325425 = 4 34Class Examples
Convert 056 to a fraction = 56100 = 414 425
Convert 535 to a fraction = 5 35100 = 5 75 520 = 5 720
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
The order relation between two decimals tells us which decimal is larger than the otherExample Which is larger 088 or 0088
088Think of this like money
088 is like $088 = 88 cents 0088 is asymp $009 = 9 cents
Comparing decimals is easy what about comparing a decimal to a fractionWhich is larger 56 or 0625
Question What to doConvert 56 Decimal OR Convert 0625 fraction
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032
Comparing amp Converting Fractions Comparing amp Converting Fractions amp Decimalsamp Decimals
ExamplesFind the order relation between 38 and 038
38 = 0375 lt 0380 38 lt 038Class Example
Find the order relation between 516 and 032 516 asymp 0313 lt 032 516 lt 032