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 solve 15 x 7?

Back

You can break it down as (10 x 7) + (5 x 7).

Front

What is an example of using the Distributive Property with 28 x 9?

Back

You can solve it as (20 x 9) + (8 x 9).

Front

If you have 6 groups of 5 and 6 groups of 2, how can you find the total using the Distributive Property?

Back

You can find the total by calculating (6 x 5) + (6 x 2).

Front

What does it mean to 'distribute' in multiplication?

Back

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

Front

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

Back

Sure! For 4 x (3 + 5), you can distribute it as (4 x 3) + (4 x 5) = 12 + 20 = 32.

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

How does the Distributive Property help in solving multiplication problems?

Back

It simplifies the problem by breaking it into smaller, easier parts.

Front

What is a real-life example of using the Distributive Property?

Back

If you buy 3 packs of pencils that cost $2 each and 3 packs of erasers that cost $1 each, you can calculate the total cost as (3 x 2) + (3 x 1).

Front

What is the result of using the Distributive Property on 5 x (2 + 3)?

Back

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