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: (5x2)+(5x5)

Back

10+25 = 35

Front

Find the original multiplication problem: (5x4)+(5x3) = 20+15 = 35

Back

5x7

Front

Which breaks down 3x9 correctly?

Back

(3x4)+(3x5)

Front

Use the distributive property to solve: (4x3)+(4x5)

Back

12+20 = 32

Front

How is this array broken apart?

Back

(2x4) + (4x5)

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 a = 2 and b = 3, what is 2(a + b) using the distributive property?

Back

2(2 + 3) = 2*2 + 2*3 = 4 + 6 = 10

Front

What is an example of using the distributive property with numbers?

Back

For example, 3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27.

Front

How can you check your work when using the distributive property?

Back

You can check by adding the results of the distributed multiplication and comparing it to the original multiplication.