Understanding the 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 the number 38 be broken down using the Distributive Property?

Back

38 can be broken down as 30 + 8.

Front

What is the product of 47 times 5 using the Distributive Property?

Back

The product is 235.

Front

How can the number 500 be expressed in the context of the Distributive Property?

Back

500 can be expressed as 500 + 10 + 2.

Front

How can the number 16 be broken down using the Distributive Property?

Back

16 can be broken down as 10 + 6.

Front

How do we break apart the number 47 in the context of the Distributive Property?

Back

47 can be broken apart as 40 + 7.

Front

What is an example of using the Distributive Property with the number 12?

Back

12 can be expressed as 10 + 2, so 5 x 12 = 5 x (10 + 2) = 50 + 10 = 60.

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

Can the Distributive Property be used with subtraction?

Back

Yes, the Distributive Property can also be applied to subtraction, such as a(b - c) = ab - ac.

Front

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

Back

You can check your work by adding the products together to see if they equal the original multiplication.