Skill 35 - 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 express 3 x (4 + 5) using the Distributive Property?

Back

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

Front

What does it mean to break apart an array in multiplication?

Back

Breaking apart an array means to separate it into smaller groups that can be multiplied and then added together.

Front

If you have an array of 2 rows and 6 columns, how can you express it using the Distributive Property?

Back

You can express it as (2 x 6) + (2 x 6) or (6 x 2) + (6 x 2).

Front

What is an example of using the Distributive Property with the numbers 5 and 3?

Back

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

Front

Which property is shown in the equation 4 x (2 + 3) = (4 x 2) + (4 x 3)?

Back

This is an example of the Distributive Property.

Front

What is the result of (2 x 4) + (4 x 5)?

Back

The result is 8 + 20 = 28.

Front

How can you represent the equation 5 x 4 + 5 x 1 using the Distributive Property?

Back

You can represent it as 5 x (4 + 1) = 5 x 5 = 25.

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

If you have 3 x (4 + 5), what is the first multiplication you perform?

Back

You first multiply 3 by 4, then 3 by 5.