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

Calculate: 5(3 + 2) using the Distributive Property.

Back

5(3 + 2) = 5 x 3 + 5 x 2 = 15 + 10 = 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

Find the GCF of 12 and 18.

Back

The GCF of 12 and 18 is 6.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor they have in common.

Front

What is a factor?

Back

A factor is a whole number that can be divided evenly into another number.

Front

Calculate the GCF of 30 and 45.

Back

The GCF of 30 and 45 is 15.

Front

Use the Distributive Property to solve: 8(2 + 5).

Back

8(2 + 5) = 8 x 2 + 8 x 5 = 16 + 40 = 56.

Front

What is the GCF of 24 and 36?

Back

The GCF of 24 and 36 is 12.

Front

If Sara has 16 red flowers and 24 yellow flowers, what is the GCF of the two amounts?

Back

The GCF of 16 and 24 is 8, so she can make 8 bouquets.