GCF & 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 to each addend.

Front

Using the Distributive Property, what is 5(2 + 3)?

Back

5(2 + 3) = 5*2 + 5*3 = 10 + 15 = 25.

Front

What does GCF stand for?

Back

GCF stands for Greatest Common Factor, which is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you find the GCF of 18 and 12?

Back

The GCF of 18 and 12 is 6, as 6 is the largest number that divides both 18 and 12.

Front

What is the first step in using the Distributive Property?

Back

The first step is to identify the number outside the parentheses and the terms inside the parentheses.

Front

Using the Distributive Property, simplify 4(3 + 5).

Back

4(3 + 5) = 4*3 + 4*5 = 12 + 20 = 32.

Front

What is an equivalent expression for 24 + 30 using GCF?

Back

The equivalent expression is 6(4 + 5).

Front

If you have 10 + 20 = 10(1 + __), what is the missing number?

Back

The missing number is 2.

Front

What is the GCF of 24 and 36?

Back

The GCF of 24 and 36 is 12.

Front

Using the Distributive Property, what is 7(1 + 4)?

Back

7(1 + 4) = 7*1 + 7*4 = 7 + 28 = 35.