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 break apart the multiplication 3x9 using the Distributive Property?

Back

You can break it apart as (3x4) + (3x5).

Front

What is the result of using the Distributive Property on (4x3) + (4x5)?

Back

The result is 12 + 20 = 32.

Front

If you have (5x2) + (5x5), what is the total?

Back

The total is 10 + 25 = 35.

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

What is an example of using the Distributive Property with the numbers 5, 4, and 3?

Back

An example is (5x4) + (5x3) = 20 + 15 = 35.

Front

How can you express 6x7 using the Distributive Property?

Back

You can express it as (6x4) + (6x3).

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

If you have the expression (2x5) + (2x3), what is the simplified result?

Back

The simplified result is 10 + 6 = 16.

Front

What is the original multiplication problem for (5x4) + (5x3)?

Back

The original multiplication problem is 5x(4+3) = 5x7.