1. Integers and Absolute Value

2. Integers Integers are the whole numbers (0, 1, 2, 3, …)
and their opposites
Integers are modeled on a number line:
(-1, -2, -3, …)
Negative Integers
Positive Integers
As you move to the right on a number line, the integers increase in value
As you move to the left on a number line, the integers decrease in value

3. Integers -5 is read “negative five” NOT minus five!
You do not need to include a + sign in front of a positive integer.
2 is still just 2, not +2!
Plotting a number on a number line means to draw a dot at the point that represents that number
Be sure to label your points!
Draw a number line and plot the integers -6, -2, and 3.

4. Absolute Value
Absolute value is the distance from zero on a number line.
Because AV is a distance, it is always positive.
There is no such thing as a negative distance.
If I drive 11 miles to school, I drive 11 miles home, not -11 miles!

5. Absolute Value
AV is written with two vertical lines called absolute value signs
Ex: │7│ or │-3│
The absolute value of 7 (│7│) is 7, because it is seven spaces away from zero on a number line
The absolute value of -3 (│-3│) is 3, because it is three spaces away from zero on a number line

6. Evaluating Absolute Value
│-17│
=17
│5│ =5
│0│ =0
│-121│
=121

7. Opposites
Opposites are numbers that are the same distance from, but on opposing sides of, zero
Opposites have the same absolute value
Find the opposites of the following: 8
-11
121
-121 -8 11