2021 CW 3.6 Properties of Operations

Front

What is the Multiplication Property of One (Identity)?

Back

The Multiplication Property of One states that any number multiplied by one remains unchanged. For example, 2a x 1 = 2a.

Front

What is the Commutative Property?

Back

The Commutative Property states that the order of numbers does not change the result of addition or multiplication. For example, 4 x 5 = 5 x 4.

Front

What is the Associative Property?

Back

The Associative Property states that the way numbers are grouped does not change their sum or product. For example, 9 + (2 + 1) = (9 + 2) + 1.

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.

Front

What is the Addition Property of Zero (Identity)?

Back

The Addition Property of Zero states that adding zero to any number does not change its value. For example, a + 0 = a.

Front

Provide an example of the Multiplication Property of One (Identity).

Back

Example: 4 x 1 = 4.

Front

Provide an example of the Commutative Property.

Back

Example: 3 + 7 = 7 + 3.

Front

Provide an example of the Associative Property.

Back

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

Front

Provide an example of the Distributive Property.

Back

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

Front

What does the Associative Property apply to?

Back

The Associative Property applies to both addition and multiplication.