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 express (5 x 4) + (1 x 4) using the Distributive Property?

Back

You can express it as 4 x (5 + 1) = 4 x 6.

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 4 groups of (5 + 2), how can you write this using the Distributive Property?

Back

You can write it as 4 x (5 + 2) = (4 x 5) + (4 x 2).

Front

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

Back

An example is 3 x (5 + 2) = (3 x 5) + (3 x 2) = 15 + 6 = 21.

Front

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

Back

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

Front

What is the result of (5 x 4) + (5 x 3)?

Back

The result is 5 x (4 + 3) = 5 x 7 = 35.

Front

If you have (2 x 3) + (2 x 5), what can you factor out?

Back

You can factor out the 2, so it becomes 2 x (3 + 5) = 2 x 8 = 16.

Front

What is the first step in using the Distributive Property?

Back

The first step is to identify the number outside the parentheses and the numbers inside the parentheses.

Front

Can you use the Distributive Property with subtraction?

Back

Yes, you can use it with subtraction, for example, a(b - c) = ab - ac.