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 the sum as a product for 25 + 35.

Back

5(5 + 7)

Front

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

Back

9(8 + 1)

Front

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

Back

6(4 + 3)

Front

Use the GCF and the Distributive Property to express the sum as a product for 49 + 21.

Back

7(7 + 3)

Front

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

Back

16(2 + 1)

Front

What is an example of applying the Distributive Property?

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 more easily.