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 or difference.

Front

Calculate: 5(3 + 10)

Back

5(3 + 10) = 5*3 + 5*10 = 15 + 50 = 65

Front

Calculate: 7(9 - 3)

Back

7(9 - 3) = 7*9 - 7*3 = 63 - 21 = 42

Front

Calculate: 9(6 + 6)

Back

9(6 + 6) = 9*6 + 9*6 = 54 + 54 = 108

Front

Calculate: 2(5 + 2)

Back

2(5 + 2) = 2*5 + 2*2 = 10 + 4 = 14

Front

Calculate: 3(4 - 3)

Back

3(4 - 3) = 3*4 - 3*3 = 12 - 9 = 3

Front

If a = 4, b = 5, what is 2(a + b)?

Back

2(a + b) = 2(4 + 5) = 2*9 = 18

Front

If x = 3, what is 4(x + 2)?

Back

4(x + 2) = 4(3 + 2) = 4*5 = 20

Front

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

Back

Example: 6(10 - 4) = 6*10 - 6*4 = 60 - 24 = 36.

Front

What does it mean to simplify an expression using the Distributive Property?

Back

It means to break down the expression into simpler parts by distributing the multiplication over addition or subtraction.