assingment math

8/2/2019 Assingment Math

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ARITHMETICTYPE OF NUMBER


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THE REAL NUMBER LINE

A line with real number with each number iscalled a real number line.

Points to the right are greater than points to

the left.


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THE REAL NUMBER R


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REAL NUMBER SYSTEM

Classification of number

NAME SYMBOL EXAMPLENatural Number N 1,2,3,4,5,6,7,

.

Whole Number W 0,1,2,3,4,5,6,

.Integers Z ,-3,-2,-

1,0,1,2,3,

Rational

Number

Q _ 4 , 1

7 24 = 0.85

Irrational

Number

I = 3.141592654

3=


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ARITHMETIC

ARITHMETIC OPERATION


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ARITHMETIC OPERATION

The basic arithmetic operation that can beknown.

SYMBOL OPERATION

+ ADDITION

_ SUBSTRACTION

* MULTIPLICATION

/ DIVISION


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FACTOR AND MULTIPLES

Factor.- The number you multiple to get the

product.

Example, the product of 36 have a severalfactor.1x36 = 36

2x18 = 363x12 = 364 x 9 = 366 x 6 = 36


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FINDING FACTOR

Start with 1x the number.

Then, Try several number such as 2,3,4.

If the number are repeat, cross it out.

When you get double (4x4), mean you aredone.


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WHAT ARE THE FACTOR OF 36 ?

1 x 36

2 x 18

3 x 12

4 x 9

5 x ??? 5 is not the factor, so, cross it out.

6 x 6 double = done

the factor of 36 is 1,2,3,4,6,9,12,18,36.


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FACTORS AND MULTIPLES

Multiples.

- is formes by multiplying a given numberwith

counting number.

- the counting number are such as1,2,3,4,5,6,7, etc.


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EXAMPLE : LIST THE MULTIPLE OF 6 :

1 x 6 = 62 x 6 =123 x 6 = 184 x 6 = 24

5 x 6 = 306 x 6 = 367 x 6 = 42

counting numbers.- so, the multiple of 6 are 6,12,18,24,30,36,42,etc.


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WHAT THE FIRST 6 MULTIPLES OF 12 ?

1 x 12 = 122 x 12 = 243 x 12 = 364 x 12 = 48

5 x 12 = 606 x 12 = 72

- So, the first 6 of multiples of 12 is

12,24,36,48,60,72.


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ARITHMETIC

PRIME AND COMPOSITEFACTOR


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PRIME AND COMPOSITE FACTOR

Composite number have more than two factor.

- example : 10, 24, 30, 60, 120

Prime factor are the number that have twofactor.One and the number itself.

-example : 3, 5, 7, 11, 31


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ARITHMETIC

PRIME FACTOR


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PRIME FACTOR

Use the factor tree to help you to findPRIME FACTOR.


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WRITE 24 AS THE PRODUCT OF ITSPRIME FACTOR.

24

6 4

3 2 2 2

24 = 2 x 2 x 2 x 3 prime factor !!!


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WRITE 80 AS THE PRODUCT OF PRIMEFACTOR.

80

8 10

4 2 5 2

80 = 2 x 2 x 4 x 5 prime factor !!!


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ARITHMETIC

HIGHEST COMMON FACTOR&

LOWEST COMMON FACTOR


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FIND THE HCF AND LCM OF 36 & 90.

36 90

9 4 109

3 3 2 2 5 2 33

- Prime factor are now have been found.


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FACTOR TREES.

Prime factor :

36 = 3 x 3 x 2 x 290 = 2 x 3 x 3 x 5

- Now, we need to find HCF & LCM.(Highest Common Factor) &(Lowest Common Multiple)


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HIGHEST COMMON FACTOR (HCF)

To find HCF:

- Do the factorization of each integer.- List them in column.

- Find the full column.


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HIGHEST COMMON FACTOR (HCF)

Example : Find the HCF of 12, 14, 20

So, the HCF of 12, 14 and 20 is 2.

12 2 2 3

14 2 7

20 2 2 5

HCF 2


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LOWEST COMMON MULTIPLE (LCM)

To find LCM:

- Do the prime factorization of each integer.- List them in column.

- For each column, write down the value ofthe

factor, then multiply it to get LCM.


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LOWEST COMMON MULTIPLE (LCM)

Example: Find the LCM of 8, 16, 22.

So, the LCM of 8, 16, and 22 is 176.

8 2 2 2

16 2 2 2 2

22 2 11

LCM 2 2 2 2 11


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ARITHMETIC

ORDER OF OPERATION(BEDMAS)


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ORDER OF OPERATION (BEDMAS)

What is BEDMAS ?BEDMAS is:

B = Bracket

E = ExponentD = DivisionM = MultipleA = AdditionS = Substraction


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ORDER OF OPERATION

Example :

(8 - 5) x (4 + 2) / 3 = ?

- How to solve it?- By using BEDMAS- In this case, we must identify it first.


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ORDER OF OPERATION (BEDMAS)

Solution :

(8 5) x (4 +2 ) / 3

= 3 x 6 / 3

= 3 x 2

= 6

-So, by using BEDMAS, we can solve theoperation easily and get the correct answer.


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ARITHMETIC

DECIMAL NUMBER


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DECIMAL NUMBER

Dividing the numerator by the denominator.

We convert the fraction to decimal.

Shifting the decimal point.

Example :Number Operation Answer

Shift oneplaces to the

right

3.456 x 10 34.56

Shift twoplaces to theright

789.432 x 100 78943.2

Shift three 18.934 x 1000 18934


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RECURRING DECIMAL

Some division will end exactly and producemore number.

Example : 53 / 22 = 2.363636364

In other case, the division will never work, thenumber after decimal will go on without end.In this case we called it RECURRING DECIMAL.

Example : 4 / 3 = 1.333333

3 / 111 = 0.027027027027


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ADDING / SUBTRACTING DECIMAL

Align the decimal

Bring the decimal down with the correct lineof decimal.

Example : 123.456 + 12.34 = ? Solution : 123.456

+ 12.34135.796

By using the correct method, we can solve theoperation easily and get the corret answer.


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MULTIPLYING DECIMAL

Multiply normally.

Count the number decimal spaces in bothfactor.

Move your answer decimal this number ofspaces.

Example : 7.63 x 0.4 = ?

Solution : 7.63 ( 2 decimal)x .4 ( 1 decimal)

3052. 3.052 ( 3


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DIVIDING DECIMAL (LONG DIVISION)

Move the divisor decimal enough spaces sothat will become whole number.

Dont move the decimal point.

Example : 643.22 / 0.2 Solution

321.612 ) 643.22


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DIVIDING DECIMAL (FRACTION)

Count the number of decimal spaces in thenumerator and the denominator.

Choose the larger of these value.

Reduce : Move each decimal 3 places.

123.456 = 123456 = 61728 = 30864 =10288

0.3 300 150 7525

* The only prime factor of 25 is 5, since 10288 is

not available in 5, the operation is done.


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TYPE OF FRACTION

TYPE OFFRACTION

DEFINITION EXAMPLE

PROPERFRACTION

Numerator denominator

7 , 13 , 34 9 1

MIXEDFRACTION

Whole numberplus fraction

4 46 + = 6

9 9


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CONVERSION

Convert improper to mixed.

Divide N by D as far as possible and expressany remainder as a proper fraction.

Example : Express 13 as a mixed number.6

Solution : 26 ) 13- 12

1 1answer : 6 6


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CONVERSION

Mixed to improper

Multiply the whole number by D, add N. Placethe total over N.

Example : 2 (3 x 3) + 2 11

3 3 33


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ARITHMETIC

RATIO AND PROPORTION


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RATIO AND PROPORTION

Ratio : It is a comparison of two objects. Oftenexpress as a fraction.

Example : There are 3 Indian for every 15student.

Solution : 3 : 15 or 315


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HOW TO SOLVE ???

Using the Multiplication Property of Equality(MPE)

Solution : 3 27 3 x 279 27

3 ( 3 ) = x9 Indian = x


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HOW TO SOLVE ???

Cross multiplication.

Solution : 3 = x cross multiply

9 27

27 ( 3 ) = 9 (x)81 = 9 x

9 Indian = x


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THANK YOU

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