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 use the Distributive Property to solve (5 x 3) + (5 x 4)?

Back

You can rewrite it as 5 x (3 + 4) = 5 x 7 = 35.

Front

What does it mean to 'distribute' in multiplication?

Back

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

Front

If you have (4 x 5) + (4 x 3), how can you simplify it using the Distributive Property?

Back

You can factor out the 4: 4 x (5 + 3) = 4 x 8 = 32.

Front

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

Back

For example, 3 x (2 + 5) = 3 x 2 + 3 x 5 = 6 + 15 = 21.

Front

Can you use the Distributive Property with subtraction?

Back

Yes, you can. For example, 4 x (5 - 2) = 4 x 5 - 4 x 2.

Front

What is the first step in using the Distributive Property?

Back

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

Front

How do you check your work after using the Distributive Property?

Back

You can add or subtract the results to see if they equal the original expression.

Front

What is the result of (5 x 4) + (5 x 2) using the Distributive Property?

Back

You can simplify it to 5 x (4 + 2) = 5 x 6 = 30.

Front

If you have (3 x 4) + (3 x 5), what is the simplified form?

Back

It simplifies to 3 x (4 + 5) = 3 x 9 = 27.