Distributive Property

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

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you apply the Distributive Property to 36 + 42?

Back

You can factor out the GCF, which is 6, to rewrite it as 6(6 + 7).

Front

What does the expression (3 x 20) + (3 x 100) represent?

Back

It represents the total amount Mr. Boughton gave to his three children, where he gave each child $20 and $100.

Front

Calculate 8(3 + 4) using the Distributive Property.

Back

8(3 + 4) = 8*3 + 8*4 = 24 + 32.

Front

What property is shown in the equation (9 x 2) + (9 x 10) = 9 x (2 + 10)?

Back

This is an example of the Distributive Property.

Front

How can you find the total area of a figure using the Distributive Property?

Back

You can express the area as a product of a number and a sum, such as 9(10 + 7), which represents the area of a rectangle.

Front

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

Back

If a = 2 and b = 3, then 2(a + b) = 2*2 + 2*3 = 4 + 6 = 10.

Front

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

Back

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

Front

If you have 4(x + 5), what is the expanded form?

Back

4(x + 5) = 4x + 20.