The Distributive Property

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 the addends.

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

Rewrite 36 + 45 using the GCF and Distributive Property.

Back

9(4 + 5)

Front

Calculate 12(3 + 4) using the Distributive Property.

Back

36 + 48

Front

Use the GCF and Distributive Property to express 18 + 15 as a product.

Back

3(6 + 5)

Front

Rewrite 24 + 30 using the Distributive Property and GCF.

Back

6(4 + 5)

Front

If a = 5 and b = 3, what is 2(a + b) using the Distributive Property?

Back

2(5 + 3) = 2*8 = 16

Front

What does it mean to factor an expression?

Back

Factoring an expression means to express it as a product of its factors, often using the GCF.

Front

How do you find the GCF of 24 and 30?

Back

The GCF of 24 and 30 is 6.

Front

What is an example of using the Distributive Property with variables?

Back

For example, a(b + c) = ab + ac.