Equivalent Expressions & Properties

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 to each addend.

Front

Give an example of the Distributive Property.

Back

4(2a + 7) = 8a + 28.

Front

What is the Multiplicative Inverse Property?

Back

The Multiplicative Inverse Property states that for any number a (except 0), there exists a number 1/a such that a * (1/a) = 1.

Front

Give an example of the Multiplicative Inverse Property.

Back

a/3 ⋅ 3/a = 1.

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

Give an example of the Associative Property.

Back

(y + 2) + 4 = y + (2 + 4).

Front

What property states that the grouping of terms does not affect the outcome in addition and multiplication?

Back

The Associative Property.

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that adding 0 to any number does not change the number.

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that multiplying any number by 1 does not change the number.

Front

What is the Inverse Property of Addition?

Back

The Inverse Property of Addition states that for every number a, there exists a number -a such that a + (-a) = 0.