Distributive Property Multiplication

Front

What is the Distributive Property?

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 6 x 7 using the Distributive Property?

Back

6 x 7 can be broken apart as (6 x 5) + (6 x 2) = 30 + 12 = 42.

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 3 x (4 + 2), how can you use the Distributive Property?

Back

You can distribute 3 to both 4 and 2: 3 x 4 + 3 x 2 = 12 + 6 = 18.

Front

What is an example of using the Distributive Property with arrays?

Back

An array of 4 rows and 5 columns can be represented as (4 x 5) + (4 x 2) if you add 2 more columns.

Front

How can you express 9 x 3 using the Distributive Property?

Back

You can express it as (9 x 2) + (9 x 1) = 18 + 9 = 27.

Front

What is the result of (2 x 3) + (2 x 5)?

Back

The result is 2 x (3 + 5) = 2 x 8 = 16.

Front

How do you break down 4 x 6 using the Distributive Property?

Back

You can break it down as (4 x 4) + (4 x 2) = 16 + 8 = 24.

Front

What is the equation for breaking apart 5 x 8?

Back

You can break it apart as (5 x 5) + (5 x 3) = 25 + 15 = 40.

Front

If you have 7 x (2 + 3), what is the distributed form?

Back

The distributed form is (7 x 2) + (7 x 3) = 14 + 21 = 35.