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 89 x 3 using the Distributive Property?

Back

3 x (80 + 9) = (80 x 3) + (9 x 3) = 240 + 27 = 267.

Front

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

Back

10 + 25 = 35.

Front

How do you distribute 689 x 3 using the Distributive Property?

Back

(600 x 3) + (80 x 3) + (9 x 3) = 1800 + 240 + 27 = 2067.

Front

What is the original multiplication problem for (400 x 8) + (30 x 8) + (2 x 8)?

Back

432 x 8.

Front

What does it mean to 'distribute' in multiplication?

Back

To distribute means to multiply each term inside the parentheses by the term outside the parentheses.

Front

If you have 4 x (3 + 5), how do you apply the Distributive Property?

Back

4 x (3 + 5) = (4 x 3) + (4 x 5) = 12 + 20 = 32.

Front

What is an example of using the Distributive Property with two-digit numbers?

Back

For 56 x 7, you can write it as (50 x 7) + (6 x 7) = 350 + 42 = 392.

Front

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

Back

You can add the results of the distributed multiplication and compare it to the direct multiplication result.

Front

What is the first step in using the Distributive Property?

Back

Identify the number outside the parentheses and the terms inside the parentheses.