# Subtracting Rational Numbers

### 2.3

## Subtracting Rational Numbers

When subtracting rational numbers we follow the rules for subtracting integers.

**KEEP**the sign of the first number the same**CHANGE**subtraction to addition**CHANGE**the sign of the second number to the opposite, positive becomes negative, negative becomes positive.## Subtracting Fractions

After using keep change change, find a common denominator and look at the signs of your numbers.

If signs are the same

If signs are the same

- Add
- Keep the sign

If the signs are different

- Subtract the smaller number from the larger number
- The number with the larger absolute value determines the sign of your answer.

## Subtracting Decimals

After using keep, change, change look at the signs of your numbers.

If the signs are the same

If the signs are the same

- Add
- Keep the sign

If the signs are different

- Subtract the smaller number from the larger number
- The number with the larger absolute value determines the sign of your answer.

Be sure to LINE UP DECIMALS!

Subtracting Rational #s w/negative decimals