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 over each addend.

Front

What does GCF stand for?

Back

GCF stands for Greatest Common Factor, which is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you find the GCF of 25 and 35?

Back

The GCF of 25 and 35 is 5, as it is the largest number that divides both 25 and 35.

Front

Use the GCF and the Distributive Property to express 25 + 35 as a product.

Back

5(5 + 7)

Front

Use the GCF and the Distributive Property to express 24 + 18 as a product.

Back

6(4 + 3)

Front

Use the GCF and the Distributive Property to express 56 + 16 as a product.

Back

8(7 + 2)

Front

Use the GCF and the Distributive Property to express 32 + 16 as a product.

Back

16(2 + 1)

Front

Use the GCF and the Distributive Property to express 72 + 9 as a product.

Back

9(8 + 1)

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

Why is the Distributive Property useful in mathematics?

Back

It simplifies calculations and helps in solving equations by breaking down complex expressions.