Associative and Commutative & Distributive Property

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, a + b = b + a.

Front

Provide an example of the Commutative Property of Addition.

Back

An example is: 8 + (3 + 4) = 8 + (4 + 3). Both expressions equal 15.

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 across each addend.

Front

How do you apply the Distributive Property to the expression 5(2x + 6)?

Back

You apply the Distributive Property by multiplying 5 by each term inside the parentheses: 5(2x) + 5(6) = 10x + 30.

Front

What is the result of applying the Distributive Property to 9(5c + 4)?

Back

The result is 9 * 5c + 9 * 4 = 45c + 36.

Front

What does it mean to 'distribute' in mathematics?

Back

To 'distribute' means to multiply each term inside parentheses by the factor outside the parentheses.

Front

Can the Commutative Property be applied to multiplication?

Back

Yes, the Commutative Property also applies to multiplication, meaning a * b = b * a.

Front

What is an example of the Commutative Property of Multiplication?

Back

An example is: 4 * 5 = 5 * 4, both equal 20.

Front

What is the Associative Property?

Back

The Associative Property states that the way in which numbers are grouped in addition or multiplication does not change their sum or product.

Front

Provide an example of the Associative Property of Addition.

Back

An example is: (2 + 3) + 4 = 2 + (3 + 4). Both expressions equal 9.