Distributive Property of Multiplication

Front

What is the Distributive Property of Multiplication?

Back

The Distributive Property states that a number multiplied by a sum is equal to the sum of the products of that number and each addend. For example, a(b + c) = ab + ac.

Front

How can you use the Distributive Property to simplify (5 x 4) + (5 x 2)?

Back

You can factor out the common factor: 5 x (4 + 2) = 5 x 6 = 30.

Front

What does it mean to 'distribute' in multiplication?

Back

To 'distribute' means to multiply each addend in a sum by a number outside the parentheses.

Front

If you have (3 x 4) + (3 x 2), what is the simplified form using the Distributive Property?

Back

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

Front

Which equation represents the Distributive Property: (2 x 3) + (2 x 5) = ?

Back

2 x (3 + 5) = 2 x 8 = 16.

Front

What is an example of using the Distributive Property with the numbers 4 and 5?

Back

(4 x 5) + (4 x 3) = 4 x (5 + 3) = 4 x 8 = 32.

Front

How can you check your work when using the Distributive Property?

Back

You can check by calculating both sides of the equation to see if they are equal.

Front

What is the result of (6 x 2) + (6 x 3) using the Distributive Property?

Back

6 x (2 + 3) = 6 x 5 = 30.

Front

If you have (7 x 4) + (7 x 1), how can you simplify it?

Back

7 x (4 + 1) = 7 x 5 = 35.

Front

What is the first step in using the Distributive Property?

Back

Identify the common factor in the terms you want to combine.