is property states that changing the order of the addends or factors does not change the product or the sum.

3+2 = 2 + 3

5 x 7 = 7 x 5

17 + 8 + 3 = 17 + 3 + 8

5 x 18 x 2 = 5 x 2 x 18

The associate property states that changing the grouping of addends or factors does not change the sum or product.

6 + (4 + 8 ) = ( 6 + 4 ) + 8

4 x (5 x 9 ) = ( 4 x 5 ) + 9

The identity property for addition states that the sum of 0 and 1 is 1.

975 + 0 = 975

The identity property of multiplication states that the product of 1 and 2 is 2.

-28 x 1 = -28

Inverse operations are operations that undo each other.

Addition and subtraction are inverse operations.

3 + (-3) = 0

Inverse operations are operations that undo each other.

For example multiplication and division are inverse operations.

2 x 1/2 = 1

1/2 = 1/2

The distributive property shows how mulitplication affects addition or subtraction

4( 20 + 3) = 4 x 20 + 4 x 3

-(2a + 4b) = -2a + -4b

Pretend that the (-) is a -1

-1(2a + 4b)

-1 x 2a + -1 x 4b

The zero product property states that anything x zero is zero

5 x 0 = 0