today we will manipulate very large and very small numbers. manipulate=work with very large numbers...
TRANSCRIPT
Today we will manipulate very large and very small numbers.
•Manipulate=work with
very large numbers – numbers in the millions or higher; have 7 or more digits
•very small numbers - numbers in the thousandths or smaller; thousandths
are fractional parts of 1000
Vocabulary
• Standard form – A number written with one digit for each place value.
123,789• Word form – A number written in words.
One hundred twenty-three thousand,seven hundred eighty-nine
Vocabulary
• Expanded form – A way to write numbers that shows the place value of each digit.
100,000 + 20,000 + 3,000 + 700 + 9 = 123, 709
ReviewNumbers are divided into periods
690,492
Tho
usan
ds
One
sO
nes
Periods are separated by Periods are separated by commas.commas.
Remember that each period hasthree place values within the period
6 9 0, 4 9 2
Thousands Ones
Ones
Tens
Hundre
ds
Ones
Tens
Hundre
ds
Before you can learn to write numbers in word form you must know how to spell
these words:onetwo
threefourfivesix
seven
eightnineten
twentythirty
fortyfiftysixty
seventyeightyninety
hundredthousand
eleventwelve
thirteenfourteen
fifteensixteen
seventeeneighteennineteen
million
Tip
690,492
Do not use “and” when writing whole numbers. The word “and” will be used
when you are reading numbers with decimals.
Six hundred and ninety-thousand,Six hundred and ninety-thousand,
and four hundred and ninety-two.and four hundred and ninety-two.
How to write large numbers in word form
690,492
Thousand Ones
Write the numbers as you would read them:1st Start with the period farthest to the left and write it in word form.
2nd Continue with the period to the right and write it in word form. Continue this process till you reach the ones period.Six hundred ninety thousand four hundred ninety two
Write this number
4,268
Four thousand, two hundred sixty-eight
Write this number
305,108
Three hundred five thousand, one hundred eight
Standard form is a numberwritten with one digit for each place value
305,108
Three hundred five thousand, one hundred eight
What is the standard form of thisnumber?
63,490
Sixty-three thousand, four hundredninety.
What is the standard form of this number?
Twenty-two thousand, two hundred
22,200
The expanded form of the number is used to show the place value of each
digit
6,823
6,000 + 800 + 20 + 3
The expanded form of
is
What is the expanded form of?
973,104
900,000 + 70,000 + 3,000 + 100 + 4
What is this number in expandedform?
7,021,500
7,000,000 + 20,000 + 1,000 + 500
What about decimals?
When writing decimals in word form, use the word “and” to
represent the decimal point. 5.2
five and two tenths
Copyright © 2000 by Monica Yuskaitis
1 5 . 7 9 8
TENS
ON
ESTEN
THS
HU
ND
RED
THS
THO
USA
ND
THS
FIFTEEN
15.27
AND
TWENTY SEVEN HUNDRETHS
FIFTEEN AND TWENTY SEVEN HUNDRETHS
Copyright © 2000 by Monica Yuskaitis
Why is important to be able to manipulate
very large and very small numbers?Manipulating number helps you understand the value of number.
It also helps you on CST’s
Can you think of another reason?..I can’t!
Copyright © 2000 by Monica Yuskaitis
THIRTY
30.027
AND
TWENTY SEVEN THOUSANDTHS
THIRTY AND TWENTY SEVEN THOUSANDTHS
Copyright © 2000 by Monica Yuskaitis
Copyright © 2000 by Monica Yuskaitis
SEVEN HUNDRED FIFTY SIX
756.339
AND
THREE HUNDRED THIRTY NINE THOUSANDTHS
SEVEN HUNDRED FIFTY SIX AND THREE HUNDRED THIRTY NINE THOUSANDTHS
Copyright © 2000 by Monica Yuskaitis
Copyright © 2000 by Monica Yuskaitis
THREE HUNDRED
300.3
ANDTHREE TENTHS
THREE HUNDRED AND THREE TENTHS
Copyright © 2000 by Monica Yuskaitis
Let’s Review!• Standard form – A number written with
one digit for each place value.
• Word form – A number written in words.
• Expanded form – A way to write numbers that shows the place value of each digit.
• When writing decimals in word form, use the word “and” to represent the decimal point.