Commutative, Associative, Distributive Properties

Front

What is the Commutative Property?

Back

The Commutative Property states that the order of numbers does not change the result of the operation. For example, a + b = b + a and a x b = b x a.

Front

What is the Associative Property?

Back

The Associative Property states that the way numbers are grouped does not change the result of the operation. For example, (a + b) + c = a + (b + c) and (a x b) x c = a x (b x c).

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

Using the Commutative Property, reorder this equation: 4 + 5 = ?

Back

5 + 4

Front

Using the Associative Property, reorder this equation: (2 + 3) + 4 = ?

Back

2 + (3 + 4)

Front

Using the Distributive Property, distribute: 3(x + 4) = ?

Back

3x + 12

Front

What is an example of the Commutative Property in multiplication?

Back

For example, 7 x 3 = 3 x 7.

Front

What is an example of the Associative Property in addition?

Back

For example, (1 + 2) + 3 = 1 + (2 + 3).

Front

Using the Distributive Property, distribute: 5(2 + 3) = ?

Back

10 + 15

Front

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

Back

6 x 2 + 6 x 3 = 12 + 18 = 30.