Distributive Property of Multiplication

Front

What is the Distributive Property of Multiplication?

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

How can you use the Distributive Property to solve 5 x (4 + 3)?

Back

5 x (4 + 3) = (5 x 4) + (5 x 3) = 20 + 15 = 35.

Front

What is the original multiplication problem for (5x4)+(5x3)?

Back

5x7.

Front

How can you break apart 9 x 9 using the Distributive Property?

Back

9 x 9 = (9 x 4) + (9 x 5).

Front

What is the solution to 3 x 9 using the Distributive Property?

Back

3 x 9 = (3 x 6) + (3 x 3).

Front

What does it mean to 'break apart' a multiplication problem?

Back

To 'break apart' means to separate a multiplication problem into smaller, easier parts that can be solved individually.

Front

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

Back

3 x (5 + 3) = (3 x 5) + (3 x 3) = 15 + 9 = 24.

Front

What is the original equation for (3 x 5) + (3 x 3)?

Back

3 x 8.

Front

How can you use the Distributive Property to solve 9 x 5?

Back

9 x 5 = (4 x 5) + (5 x 5).

Front

What is an example of using the Distributive Property with the number 10?

Back

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