1. Rational Numbers ~ Rational Numbers and the Absolute Value Rational Numbers ~ Rational Numbers and the Absolute Value

2. Integers Numbers to the left of zero are less than zero. Numbers to the right of zero are more than zero. The numbers –1, -2, - 3,… are called negative integers. The numbers 1, 2, 3, … are called positive integers. Zero is neither negative nor positive.

3. Absolute Value

4. Absolute value only asks "How far?" not "In which direction?"

5. Absolute Value This means not only that | 3 | = 3, because 3 is three units to the right of zero, but also that | –3 | = 3, because –3 is three units to the left of zero.

6. Absolute Value The absolute value notation is bars | |. It is not parentheses ( ) or brackets { }.

7. Simplify a.|9| + |-9| Absolute Value

8. Simplify a.|9| + |-9| |9| + |-9| = 9 + 9 Absolute Value

9. Simplify a.|9| + |-9|| |9| + |-9| = 9 + 9 = 18 Absolute Value

10. Simplify a.|9| + |-9|| |9| + |-9| = 9 + 9 = 18 b.|13| - |-2| Absolute Value

11. Simplify a.|9| + |-9|| |9| + |-9| = 9 + 9 = 18 b.|13| - |-2| |13| - |-2| = 13 – 2 Absolute Value

12. Simplify a.|9| + |-9|| |9| + |-9| = 9 + 9 = 18 b.|13| - |-2| |13| - |-2| = 13 – 2 = 11 Absolute Value

13. Evaluate the expression |x| - 7 if x = - 13 Absolute Value

14. Evaluate the expression |x| - 7 if x = - 13 |x| - 7 = |-13| - 7 Absolute Value

15. Evaluate the expression |x| - 7 if x = - 13 |x| - 7 = |-13| - 7 = 13 – 7 Absolute Value

16. Evaluate the expression |x| - 7 if x = - 13 |x| - 7 = |-13| - 7 = 13 – 7 = 6 Absolute Value

17. Student Activity You will now receive a worksheet. Turn the worksheet in when completed.

18. Do Not Disturb Work In Progress