Associative, Commutative, & Distributive Property

Front

What is the Associative Property?

Back

The Associative Property states that when adding or multiplying, the way numbers are grouped does not change the sum or product. For example, (2 + 3) + 4 = 2 + (3 + 4).

Front

What is the Commutative Property?

Back

The Commutative Property states that when adding or multiplying, the order of the numbers does not change the sum or product. For example, 3 + 5 = 5 + 3.

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 individual products. For example, a(b + c) = ab + ac.

Front

Give an example of the Associative Property with addition.

Back

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

Front

Give an example of the Commutative Property with multiplication.

Back

4 x 5 = 5 x 4 = 20.

Front

Give an example of the Distributive Property.

Back

2(3 + 4) = 2*3 + 2*4 = 6 + 8 = 14.

Front

Which property allows you to change the grouping of numbers?

Back

Associative Property.

Front

Which property allows you to change the order of numbers?

Back

Commutative Property.

Front

What is the result of (2 + 3) + 5 using the Associative Property?

Back

(2 + 3) + 5 = 5 + 5 = 10.

Front

What is the result of 6 x (2 x 3) using the Associative Property?

Back

6 x (2 x 3) = (6 x 2) x 3 = 12 x 3 = 36.