Distributive Property 5th Grade Math

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 do you use the Distributive Property to find the area of a rectangle?

Back

To find the area of a rectangle, you can use the Distributive Property by expressing the length and width as sums. For example, if length = 2 + 3 and width = 5, then Area = (2 + 3) x 5 = 2x5 + 3x5.

Front

What is the area of a rectangle with length 5 and width (3 + 2)?

Back

The area is 5(3 + 2) = 5x3 + 5x2 = 15 + 10 = 25 square units.

Front

If you have 6,923 x 7, how can you break it down using the Distributive Property?

Back

You can break it down as (6,000 x 7) + (900 x 7) + (20 x 7) + (3 x 7).

Front

What does it mean to 'distribute' in math?

Back

To 'distribute' means to multiply each term inside a parenthesis by the term outside the parenthesis.

Front

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

Back

For example, 4(2 + 3) = 4x2 + 4x3 = 8 + 12 = 20.

Front

How can you represent the expression 2(3 + 5) using the Distributive Property?

Back

You can represent it as 2x3 + 2x5 = 6 + 10 = 16.

Front

What is the total area of a rectangle with dimensions 2 and (3 + 5)?

Back

The total area is 2(3 + 5) = 2x3 + 2x5 = 6 + 10 = 16 square units.

Front

If the total area of a rectangle is 231 square units and one side is 3 units, what is the other side?

Back

The other side is 231 ÷ 3 = 77 units.

Front

What is the result of 3(5 + 2)?

Back

The result is 3x5 + 3x2 = 15 + 6 = 21.