Math 6 - Commutative, Associative, and Identity Properties

2 + 3 = 3 + 2

Commutative Property of Addition

4 + (3 +7) = (4 + 3) + 7

Associative Property of Addition

23 x 1 = 23

Identity Property of Multiplication

a + b + c = c + b + a

Commutative Property of Addition

n + 0 = n

Identity Property of Addition

7 x (6 x a) = (7 x 6) x a

Associative Property of Multiplication

(6 x 7) x a = (7 x 6) x a

Commutative Property of Multiplication: NOTE: 7 and 6 are grouped in both expressions...Only the order changed

1 x 36 = 36

Identity Property of Multiplication

5 x 6 x 2 = 5 x 2 x 6

Commutative Property of Multiplication

3 + (8 + b) = 3 + (b + 8)

Commutative Property of Addition: NOTE: 8 and b are grouped in both expressions... Only the order changed

Order of Addends does not change the sum

Commutative Property of Addition

Order of Factors does not change the Product

Commutative Property of Multiplication

How you group the Addends does not change the sum

Associative Property of Addition

How you group the Factors does not change the Product

Associative Property of Multiplication

A number does not change if zero is added to it.

Identity Property of Addition

The product of 1 and a number is that number.

Identity Property of Multiplication