Commutative, Associative & Identity Properties of Addition & Multiplication: vocabulary & examples

Associative Property of Addition

(1 + 2) + 3 = 1 + (2 + 3)

Associative Property of Multiplication

(2 x 3) x 6 = 2 x (3 x 6)

Identity Property of Addition

3 + 0 = 3

Commutative Property of Multiplication

6 x 3 = 3 x 6

Associative Property of Addition

How you group the addends does not change the sum

Associative Property of Multiplication

How you group the factors does not change the product

Commutative Property of Addition

Order of addends does not change the sum

Commutative Property of Multiplication

Order of factors does not change the product

Identity Property of Multiplication

The product of one and a number is that number

Identity Property of Addition

The sum of zero and a number is that number

Identity Property of Multiplication

a * 1 = a

Commutative Property of Addition

a + b + c = c + b + a

Commutative Property of Multiplication

a x b x c = b x c x a