1. Absolute Value and Integers Algebra Seminar 2012-2013

2. Integers & Absolute Value
Integers less than zero Integers greater than zero
are negative integers are positive integers
negatives are zero is neither positives CAN
written with negative nor be written
a (-) sign positive with a (+) sign

3. Integers & Absolute Value Writing Integers to describe each
Real-Life Situation
Example 1: an increase of 6 inches
Example 2: scored 10 fewer points
Example 3: a loss of 7 pounds
Example 4: earned 5 dollars interest
Example 5: a temperature of 9 degrees below zero

4. Integers & Absolute Value Writing Integers to describe each
Real-Life Situation
Example 1: an increase of 6 inches → + 6
Example 2: scored 10 fewer points → - 10
Example 3: a loss of 7 pounds → - 7
Example 4: earned 5 dollars interest → + 5
Example 5: a temp of 9 degrees below zero → - 9

5. Integers & Absolute Value
What is absolute value?
Definition: The distance of a number away from zero on the number line
What does absolute value look like?
the absolute
value of | 7 | = 7
value of – | – 7 | = 7

6. Integers & Absolute Value
What does absolute value look like on a number line?
7 units units

7. Absolute Value Practice
Evaluate the expression.
Example 1: | 3 |
Example 2: | - 68 |
Example 3: | 6 | + | - 9 |
Example 4: | - 8 | - | - 9 |

8. Evaluating Absolute Value
Evaluate 6 + | b | if b = - 16.
6 + | b | = 6 + | - 16 | =
= 22

9. Integers & Absolute Value
Absolute Value in real life!
An eyeglass prescription is given as a positive or negative number. A prescription for a person who is farsighted is positive. A prescription for a person who is nearsighted is negative. The greater absolute value, the stronger the prescription. Which prescription is stronger, -3 or 2?
Step 1: Think about the problem. What information was given and what am I trying to figure out?

10. Integers & Absolute Value
Absolute Value in real life!
An eyeglass prescription is given as a positive or negative number. A prescription for a person who is farsighted (can’t see near) is positive. A prescription for a person who is nearsighted is negative. The greater absolute value, the stronger the prescription. Which prescription is stronger, -3 or 2?
Step 2: Determine the answer
What is the absolute value of each prescription?
| -3 | | 2 |
Which prescription is greater?
-3!

11. Absolute Value in real life!
A seagull is flying at an altitude of 107 feet and a shark is swimming at a depth of 112 feet relative to sea level. Which animal is farther from sea level?
107 feet
Sea level (0 feet)
-112 feet