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

Use the Distributive Property to simplify: 3(4 + 5)

Back

3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27.

Front

Fill in the blank: 7(x + 2) = __ + __.

Back

7(x + 2) = 7x + 14.

Front

What does it mean to 'distribute' in math?

Back

To 'distribute' means to multiply each term inside parentheses by the number outside the parentheses.

Front

Rewrite using the Distributive Property: 6(3 + 4)

Back

6(3 + 4) = (6*3) + (6*4) = 18 + 24.

Front

If 5(2 + 3) = __, what is the value?

Back

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

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 erasers that cost $1 each, you can calculate the total cost as 3(2 + 1) = 3*2 + 3*1 = $9.

Front

Fill in the missing addend: 4(_ + 6) = 40.

Back

4(4 + 6) = 40, so the missing addend is 4.

Front

Rewrite using the Distributive Property: 8(1 + 5)

Back

8(1 + 5) = (8*1) + (8*5) = 8 + 40 = 48.

Front

What is the result of 10(2 + 3)?

Back

10(2 + 3) = 10*2 + 10*3 = 20 + 30 = 50.