Commutative, Associative, and Distributive Properties

Front

What is the commutative property of addition?

Back

The commutative property of addition states that changing the order of the numbers does not change the sum. For example, 3 + 5 = 5 + 3.

Front

What is the commutative property of multiplication?

Back

The commutative property of multiplication states that changing the order of the numbers does not change the product. For example, 4 x 6 = 6 x 4.

Front

What is the associative property of addition?

Back

The associative property of addition states that the way numbers are grouped does not change the sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

Front

What is the associative property of multiplication?

Back

The associative property of multiplication states that the way numbers are grouped does not change the product. For example, (2 x 3) x 4 = 2 x (3 x 4).

Front

What is the distributive property?

Back

The distributive property states that a number multiplied by a sum is equal to the sum of the products. For example, a(b + c) = ab + ac.

Front

Give an example of the commutative property of addition.

Back

5 + 8 = 8 + 5.

Front

Give an example of the commutative property of multiplication.

Back

3 x 7 = 7 x 3.

Front

Give an example of the associative property of addition.

Back

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

Front

Give an example of the associative property of multiplication.

Back

(2 x 5) x 3 = 2 x (5 x 3).

Front

What does the distributive property look like in an equation?

Back

For example, 3(4 + 5) = 3 x 4 + 3 x 5.