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

Use the Distributive Property to solve: 3 x (4 + 5)

Back

3 x (4 + 5) = (3 x 4) + (3 x 5) = 12 + 15 = 27.

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What is the original multiplication problem for (2 x 6) + (2 x 4)?

Back

The original multiplication problem is 2 x (6 + 4) = 2 x 10 = 20.

Front

Break apart 8 x 7 using the Distributive Property.

Back

8 x 7 can be broken apart as (8 x 5) + (8 x 2) = 40 + 16 = 56.

Front

Use the Distributive Property to solve: 4 x (3 + 2)

Back

4 x (3 + 2) = (4 x 3) + (4 x 2) = 12 + 8 = 20.

Front

What does it mean to 'break apart' a multiplication problem?

Back

To 'break apart' means to separate a multiplication problem into smaller, easier parts using addition.

Front

Use the Distributive Property to solve: 5 x (2 + 3)

Back

5 x (2 + 3) = (5 x 2) + (5 x 3) = 10 + 15 = 25.

Front

What is the result of (6 x 2) + (6 x 3)?

Back

(6 x 2) + (6 x 3) = 12 + 18 = 30.

Front

What is the original multiplication problem for (7 x 4) + (7 x 1)?

Back

The original multiplication problem is 7 x (4 + 1) = 7 x 5 = 35.

Front

Use the Distributive Property to solve: 9 x (3 + 6)

Back

9 x (3 + 6) = (9 x 3) + (9 x 6) = 27 + 54 = 81.