## Objective:

**To add and subtract numbers with and without the number line.**

## Vocabulary

**Real Numbers**- points that can be plotted on a number line.**Integers**- positive and negative whole numbers and zero.**Opposites**- numbers found the same distance from, but on opposite sides of the origin.- The opposite of
*a*is*− a*. - The opposite of
*−a*is*a*. - The opposite of
*0*is*0*.

- The opposite of
**Absolute Value**- the distance between the origin and the point representing a real number. Distance is*always*positive. What ever comes out of the absolute value symbol will*ALWAYS*be positive.

## Notes:

### Properties of Addition

### Addition/Subtraction Rules

- If there are more than two numbers, add all of the positives together to get one positive term and add all of the negatives together to get one negative term then ...
- When there are only two numbers ...
- If the
*signs*are the*same*,*add*and*keep*the*sign*. - If the
*signs*are*different*,*subtract*and*keep*the*sign of*the*larger number*.

- If the

Use this as a guide when two signs are next to each other (

*touching*):