Associative and Commutative & Distributive Property

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which numbers are grouped in multiplication does not change their product. For example, (a x b) x c = a x (b x c).

Front

What is the Commutative Property?

Back

The Commutative Property states that the order in which two numbers are added or multiplied does not change the result. For example, a + b = b + a and a x b = b x a.

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped in addition does not change their sum. For example, (a + b) + c = a + (b + 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

Simplify: 3(4 + 5)

Back

27

Front

Simplify: 5 + (3 + 2)

Back

10

Front

What does the Distributive Property allow you to do?

Back

The Distributive Property allows you to multiply a single term by each term inside a set of parentheses.

Front

What is an example of the Associative Property of Multiplication?

Back

An example is 2 x (3 x 4) = (2 x 3) x 4.

Front

What is an example of the Commutative Property of Addition?

Back

An example is 7 + 2 = 2 + 7.

Front

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

Back

36