1. Integers and Absolute Value
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2. Vocabulary
Positive numbers are greater than 0. They may be written with a positive sign (+), but they are usually written without it. 2
Negative numbers are less than 0. They are always written with a negative sign (–).
Ex:-2
Integers is a member of a set of whole numbers and their opposites.
Ex:…-3,-2,-1,0,1,2,3,4…
Absolute Value is the distance of a number from zero on a number line; shown by I I.
Ex: I-5I=5

3. You can graph positive and negative numbers on a number line.
On a number line, opposites are the same distance from 0 but on different sides of 0.
Integers are the set of all whole numbers and their opposites.
Opposites
–5 –4 –3 –2 –
Negative Integers
Positive Integers
0 is neither negative nor positive. 3

4. |<--3 units--> | <--3 units-->|
The absolute value of an integer is its distance from 0 on a number line. The symbol for absolute value is ||.
|–3| = |3| = 3
|<--3 units--> | <--3 units-->|
–5 –4 –3 –2 –
Absolute values are never negative.
Opposite integers have the same absolute value.
|0| = 0 4

5. Identifying Positive and Negative Numbers in the Real World
Name a positive or negative number to represent each situation.
A. a jet climbing to an altitude of 20,000 feet
B. taking $15 out of the bank
C. 7 degrees below zero 5

6. Name a positive or negative number to represent each situation.
Example 1
Name a positive or negative number to represent each situation.
A. 300 feet below sea level
B. a hiker hiking to an altitude of 4,000 feet
C. spending $34 6

7. Example 2: Graphing Integers
Graph each integer and its opposite on a number line.
A. +2
–5 –4 –3 –2 –
B. –5
–5 –4 –3 –2 – 7

8. Additional Example 2 Continued
Graph each integer and its opposite on a number line.
C. +1
–5 –4 –3 –2 – 8

9. Additional Example 3: Finding Absolute Value
Use a number line to find the absolute value of each integer.
A. |–2|
–5 –4 –3 –2 – 9

10. Additional Example 3: Finding Absolute Value Continued
Use a number line to find the absolute value of each integer.
B. |8| – 10

11. Additional Example 3: Finding Absolute Value Continued
Use a number line to find the absolute value of each integer.
A. |6| – 11

12. Additional Example 3: Finding Absolute Value Continued
Use a number line to find the absolute value of each integer.
B. |–4|
–5 –4 –3 –2 – 12