Look at the following Examples.

12 + 18 = 18 + 12 = 30;

345 + 65 = 65 + 345 = 410

45 + 0 = 0 + 45 = 45

From the above examples we can say that during addition we can change the place of the number. The answer remains the same.

For any two elements of the set W, a and b, a + b = b + a
This is called the Commutative-Property of Addition for the set of W. |

1) 15 + 6 = 6 + 15

21 = 21

So the property holds true.

2) 85 + 16 = 16 + 85

101 = 101

So the property holds true.

3) 5 + 97 = 97 + 5

102 = 102

So the property holds true.

If a and b are whole numbers then

a x b = b x a

For any elements of the set W, a x b = b x a This is called the Commutative-Property of multiplication for the set of W. |

1) 5 x 6 = 6 x 5

30 = 30

So the property holds true.

2) 12 x 5 = 5 x 12 = 60

Regardless of the order in which whole numbers are multiplied,

we will get the same product.

6 ÷ 3 = 2 is not same as 3 ÷ 6 = 1/2

If a and b are whole numbers, then a ÷ b is not equal to

b ÷ a. So the commutative-property does not hold

true for whole numbers.

• Closure property

• Commutative property

• Associative property

• Additive Identity

• Distributive property

• Home

GMAT

GRE

1st Grade

2nd Grade

3rd Grade

4th Grade

5th Grade

6th Grade

7th grade math

8th grade math

9th grade math

10th grade math

11th grade math

12th grade math

Precalculus

Worksheets

Chapter wise Test

MCQ's

Math Dictionary

Graph Dictionary

Multiplicative tables

Math Teasers

NTSE

Chinese Numbers

CBSE Sample Papers