Distributive Property of Multiplication

Front

What is the Distributive Property of Multiplication?

Back

The Distributive Property states that a number multiplied by a sum can be distributed to each addend. For example, a(b + c) = ab + ac.

Front

How can you express 3 x (4 + 2) using the Distributive Property?

Back

3 x (4 + 2) = (3 x 4) + (3 x 2) = 12 + 6 = 18.

Front

What does it mean to break apart a multiplication problem?

Back

Breaking apart a multiplication problem means to separate it into smaller, easier parts to solve. For example, 3 x 4 can be broken into (3 x 2) + (3 x 2).

Front

If you have 5 x (3 + 2), how can you use the Distributive Property?

Back

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

Front

What is an example of using the Distributive Property with the number 6?

Back

6 x (2 + 3) = (6 x 2) + (6 x 3) = 12 + 18 = 30.

Front

How can you break apart 4 x 5 using the Distributive Property?

Back

4 x 5 can be broken into (4 x 2) + (4 x 3) = 8 + 12 = 20.

Front

What is the result of 3 x 9 using the Distributive Property?

Back

3 x 9 can be expressed as (3 x 5) + (3 x 4) = 15 + 12 = 27.

Front

How do you solve 5 x 18 using the Distributive Property?

Back

5 x 18 can be expressed as (5 x 10) + (5 x 8) = 50 + 40 = 90.

Front

What is the first step in using the Distributive Property?

Back

Identify the number outside the parentheses and the numbers inside the parentheses.

Front

Can you give an example of a multiplication problem that uses the Distributive Property?

Back

Yes! For example, 2 x (3 + 4) = (2 x 3) + (2 x 4) = 6 + 8 = 14.