Commutative, Associative, and Distributive

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication to each addend.

Front

How can you express 5(3 + 9) using the Distributive Property?

Back

5(3) + 5(9)

Front

What does the Commutative Property state?

Back

The Commutative Property states that the order of addition or multiplication does not change the result. For example, a + b = b + a and ab = ba.

Front

Give an example of the Commutative Property of Addition.

Back

3 + 5 = 5 + 3

Front

Give an example of the Commutative Property of Multiplication.

Back

4 × 6 = 6 × 4

Front

What is the Associative Property?

Back

The Associative Property states that the way numbers are grouped in addition or multiplication does not change the result. For example, (a + b) + c = a + (b + c) and (ab)c = a(bc).

Front

How does the Associative Property apply to addition?

Back

(2 + 3) + 4 = 2 + (3 + 4) = 9

Front

How does the Associative Property apply to multiplication?

Back

(2 × 3) × 4 = 2 × (3 × 4) = 24

Front

What is an example of the Associative Property of Addition?

Back

(1 + 2) + 3 = 1 + (2 + 3) = 6

Front

What is an example of the Associative Property of Multiplication?

Back

(2 × 5) × 3 = 2 × (5 × 3) = 30