Properties of Rational Numbers

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 over each addend.

Front

Provide an example of the Distributive Property.

Back

Example: 3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27.

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

Example: 7 + 3 = 3 + 7 = 10.

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For example, a × b = b × a.

Front

Provide an example of the Commutative Property of Multiplication.

Back

Example: 4 × 5 = 5 × 4 = 20.

Front

What is the Associative Property of Addition?

Back

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

Front

Provide an example of the Associative Property of Addition.

Back

Example: (2 + 3) + 4 = 2 + (3 + 4) = 9.

Front

What is the Associative Property of Multiplication?

Back

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

Front

Provide an example of the Associative Property of Multiplication.

Back

Example: (2 × 3) × 4 = 2 × (3 × 4) = 24.