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 two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor that appears in both lists.

Front

What is the GCF of 15 and 25?

Back

The GCF of 15 and 25 is 5.

Front

If Pete has 18 oranges and 12 bananas, how do you find the greatest number of fruit baskets he can make?

Back

Find the GCF of 18 and 12, which is 6. He can make 6 baskets.

Front

What is the GCF of 16 and 24?

Back

The GCF of 16 and 24 is 8.

Front

Using the Distributive Property, what is 4(6 + 2)?

Back

4(6 + 2) = 4*6 + 4*2 = 24 + 8 = 32.

Front

What is an example of using the Distributive Property in a real-life situation?

Back

If you buy 3 packs of pencils that cost $2 each and 3 packs of erasers that cost $3 each, you can calculate the total cost as 3($2 + $3) = 3*2 + 3*3 = $6 + $9 = $15.

Front

What is the GCF of 30 and 45?

Back

The GCF of 30 and 45 is 15.