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 break down 6x7 using the Distributive Property?

Back

6x7 can be broken down as (6x2) + (6x5).

Front

What does the equation (5 x 4) + (3 x 4) represent?

Back

It represents the total area of a rectangle that is 5 units wide and 4 units tall, plus another rectangle that is 3 units wide and 4 units tall.

Front

If you have an array of 5 rows and 4 columns, how can you express this using the Distributive Property?

Back

You can express it as (5 x 4) + (0 x 4) or simply as 5 x 4.

Front

What is an example of using the Distributive Property with the numbers 4 and 5?

Back

An example is (4 x 5) + (4 x 2), which shows how to break down the multiplication.

Front

What does the equation (4 x 3) + (4 x 3) equal?

Back

It equals 24, as both parts equal 12, and 12 + 12 = 24.

Front

How can you express 6x7 using two smaller multiplications?

Back

You can express it as (6x5) + (6x2).

Front

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

Back

The result is 28, as (5 x 4) = 20 and (2 x 4) = 8, and 20 + 8 = 28.

Front

What does the equation (5 x 4) + (5 x 3) represent?

Back

It represents the total area of two rectangles: one that is 5 units wide and 4 units tall, and another that is 5 units wide and 3 units tall.

Front

How can you use the Distributive Property to simplify (3 x 4) + (4 x 3)?

Back

You can simplify it to 4 x (3 + 3) = 4 x 6 = 24.