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 express (5 x 4) + (2 x 4) using the Distributive Property?

Back

You can express it as (5 + 2) x 4 = 7 x 4.

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

If you have (3 x 5) + (3 x 2), what is the common factor?

Back

The common factor is 3.

Front

How can you rewrite (4 x 3) + (4 x 2) using the Distributive Property?

Back

You can rewrite it as 4 x (3 + 2) = 4 x 5.

Front

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

Back

For example, 6 x (2 + 3) = 6 x 2 + 6 x 3.

Front

What is the result of (2 x 6) + (2 x 6)?

Back

The result is 2 x (6 + 6) = 2 x 12 = 24.

Front

How do you solve (5 x 3) + (2 x 3) using the Distributive Property?

Back

You can factor out the common factor of 3: (5 + 2) x 3 = 7 x 3 = 21.

Front

What is the first step in applying the Distributive Property?

Back

Identify the common factor in the terms you want to combine.

Front

If you have (x x 4) + (x x 2), how can you simplify it?

Back

You can simplify it to x x (4 + 2) = x x 6.