Distributive Property Multiplication

Front

What is the Distributive Property?

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 3 x 9?

Back

You can break it down as (3 x 4) + (3 x 5) = 12 + 15 = 27.

Front

What does it mean to break down a multiplication problem?

Back

Breaking down a multiplication problem means to express it as the sum of two or more simpler multiplication problems.

Front

If you have (5 x 4) + (2 x 4), what is the total?

Back

The total is 20 + 8 = 28.

Front

What is an array in multiplication?

Back

An array is a visual representation of multiplication, often shown as rows and columns of objects.

Front

How can you represent 4 x 5 using the Distributive Property?

Back

You can represent it as (4 x 2) + (4 x 3) = 8 + 12 = 20.

Front

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

Back

The result is 12 + 12 = 24.

Front

Can you give an example of using the Distributive Property with 2 x (3 + 4)?

Back

2 x (3 + 4) = (2 x 3) + (2 x 4) = 6 + 8 = 14.

Front

What is the first step in using the Distributive Property?

Back

The first step is to identify the number outside the parentheses and the numbers inside the parentheses.

Front

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

Back

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