1. Integers and Absolute Value

2. Integers are whole numbers and their opposites.
Remember….
Integers are whole numbers and their opposites.
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5

3. Terms associated with Integers
Negative
Positive
Below
Bonus
Goes down
Above BC
Profit
Withdrawal AD
Lost/Loss
Goes up
Descending
Increase
Decrease
Deposit
Ascending

4. Operations with Integers
Addition
Subtraction
Multiplication
Division
Equals
Sum
Difference
Product
Quotient Is
Plus
Decreased by
Twice
Per
Equal
More than
Less than
Multiplied
Divided
Increased by
Minus
Times
Separate
In all
Each

5. Operations with Integers
Addition with Same Sign Integers Positive + Positive = Positive = 9 Negative + Negative = Negative (- 7) + (- 2) = - 9

6. Operations with Integers
Addition with Different Sign Integers
Use the sign of the larger number and subtract
(- 7) + 4 = -3
Larger number is 7 so 7 – 4 = 3
The answer is negative because there are more negatives

7. (-9) = 2. (- 3) + 7 = ( -3) =

8. (-9) = (- 3) + 7 = ( -3) = 2

9. Subtraction of a Negative
Is really addition of a positive
Use Keep it, Change it, Opposite
This concept changes any subtraction to addition of the opposite
Ex: 9 – (-4) – (-20)
9 + 4 = = 5

10. Operations with Integers Multiplication and Division
Positive & Positive = Positive
Negative & Positive = Negative
Negative & Negative = Negative

11. Absolute Value – measures the distance a number is from zero |-6| = 6

12. Simplify
|9| + |-9|

13. Simplify
|9| + |-9|
|9| + |-9| = 9 + 9
= 18

14. Simplify
|13| - |-2|

15. Simplify
|13| - |-2|
|13| - |-2| = 13 – 2
= 11

16. Evaluate the expression |x| - 7 if x = - 13

17. Example 4: Evaluate the expression |x| - 7 if x = - 13
= 13 – 7
= 6