Mathematical Properties/Distributive Property

The Distributive Property means to multiply the number on the outside of the parenthesis (), by each term on the inside.

How to rewrite an equation with the Distributive Property

Part I

Part I

Directions: Rewriting the Equation using the Distributive Property.

Example

5 x 73 = (5 x 70) + (5 x 3)

So, for this problem, add a parenthesis, then add "5 x". Then add "7" after the "x", then add "0" and then parenthesis. Now add "+", another parenthesis, "5" and "x", then "3.

It's like breaking down the "73" here. For the first parenthesis problem, add "7", but since there's "3" in "5 x 73", add a placeholder, 0. Then in the second parenthesis, it's "5 x 3", but since there's no number behind the "3", add nothing. Leave 3.

Still don't understand? Take a look at these problems to help you:

Example

6 x 92 = (6 x 90) + (6 x 2)

Example

9 x 25 = (9 x 20) + (9 x 5)

Example

7 x 71 = (7 x 70) + (7 x 1)

Example

4 x 66 = (4 x 60) + (4 x 6)

Go to Mathematics Properties/Distributive Property/Part I Pretest to take the short Pretest.

Part II

Part II

Directions: Solve for the unknown number.

Example

5 x 13 = (5 x _) + (5 x _)

This shouldn't be difficult. "13" - for the first equation, remember there's "1", and another number after it: 3. But you need to replace the "3" with "0". So like: (5 x 10) + (5 x 3).

Add "3", since that's the number behind "1", in "13".

This should be easy for you:

Example

5 x d = (5 x 30) + (5 x 9) = d is 39

Example

1 x z = (1 x 60) + (1 x 5) = z is 65

Example

4 x a = (4 x 20) + (4 x 3) = a is 23

Example

9 x u = (9 x 90) + (9 x 4) = u is 94

Go to Mathematics Properties/Distributive Property/Part II Pretest to take the short Pretest