Transcript Absolute Value Powerpoint

Absolute Value
Absolute Value
-7
-10
-5
+7
0
5
10
 A number line has many functions. Previously, we
learned that numbers to the right of zero are positive
and numbers to the left of zero are negative. By
putting points on the number line, we can graph
values.
 If one were to start at zero and move seven places to the
right, this would represent a value of positive seven.
 If one were to start at zero and move seven places to the
left, this would represent a value of negative seven.
Absolute Value
-7
-10
-5
+7
0
5
10
 Both of these numbers, positive seven (+7) and
negative seven (-7), represent a point that is seven
units away from the origin.
 The absolute value of a number is the distance
between that number and zero on a number line.
Absolute value is shown by placing two vertical bars
around the number as follows:
| 5 | The absolute value of five is five.
| -3 | The absolute value of negative three is
three.
1 block
1 block
You walk directly east from your house one block. How far
from your house are you?
You walk directly west from your house one block. How far
from your house are you?
It didn't matter which direction you walked, you were still 1 block
from your house.
This is like absolute value. It is the distance from zero. It doesn't
matter whether we are in the positive direction or the negative
direction, we just care about how far away we are.
4  4
4 units away from 0
4 units away from 0
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
4 4
Absolute Value
What does absolute value look like?
the absolute
value of 7
|7|=
7
the absolute
value of – 7
|–7 |=
7
Integers & Absolute Value
What is absolute value?
The distance of some number from zero on the
number line
What does absolute value look like?
7 units
-8 -7 -6 -5 -4 -3 -2 -1 0 1
7 units
2 3 4 5 6 7 8
Opposites vs Absolute Value
Given Number
Opposite
Absolute Value
8
-8
8 8
-24
+24
24  24
-3.5
+3.5
35
.  35
.
Absolute Value
Let’s Try Some…
Ask yourself, how far is the number from
zero?
1) | -4 | =
2) | 3 | =
3) | -9 | =
4) | 8 - 3 | + =
-7 -6 -5 -4 -3 -2 -1
0 1
2 3
4
5
6