# 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

[edit | edit source]### Part I

[edit | edit source]__ 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

[edit | edit source]__ 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**