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- 1. Integers and Absolute Values Objective: Graph integers on a number line and find absolute value.
- 2. Example 1. Study the pattern of the following subtraction sentences. 5 – 1 = 4 5 – 2 = 3 5 – 3 = 2 5 – 4 = 1 5 – 5 = 0 5 – 6 = ?
- 3. Example 1. Study the pattern of the following subtraction sentences. 5 – 1 = 4 5 – 2 = 3 5 – 3 = 2 5 – 4 = 1 5 – 5 = 0 5 – 6 = -1 This is an example of a negative number. A negative number is less than zero.
- 4. Integers
- 5. Integers Numbers to the left of zero are less than zero.
- 6. Integers Numbers to the left of zero are less than zero. Numbers to the right of zero are more than zero.
- 7. 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 number negative 3 is written –3.
- 8. 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 number negative 3 is written –3. The numbers 1, 2, 3, … are called positive integers. The number positive 4 is written +4 or 4.
- 9. 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 number negative 3 is written –3. The numbers 1, 2, 3, … are called positive integers. The number positive 4 is written +4 or 4. Zero is neither negative nor positive.
- 10. Example 2a: Name the coordinates of D, E, and B A E C B D
- 11. Example 2b: Graph points F, U, and N on a number line if F has coordinate 1, U has coordinate –3, and N has coordinate 4.
- 12. Absolute Value Absolute Value In words: The absolute value of a number is the distance the number is from the zero point on the number line. In symbols: |4| = 4 and |-4| = 4
- 13. Example 3: Simplify <ul><li>|9| + |-9| </li></ul>
- 14. Example 3: Simplify <ul><li>|9| + |-9| </li></ul><ul><li>|9| + |-9| = 9 + 9 </li></ul>
- 15. Example 3: Simplify <ul><li>|9| + |-9|| </li></ul><ul><li>|9| + |-9| = 9 + 9 </li></ul><ul><li> = 18 </li></ul>
- 16. Example 3: Simplify <ul><li>|9| + |-9|| </li></ul><ul><li>|9| + |-9| = 9 + 9 </li></ul><ul><li> = 18 </li></ul><ul><li>|13| - |-2| </li></ul>
- 17. Example 3: Simplify <ul><li>|9| + |-9|| </li></ul><ul><li>|9| + |-9| = 9 + 9 </li></ul><ul><li> = 18 </li></ul><ul><li>|13| - |-2| </li></ul><ul><li>|13| - |-2| = 13 – 2 </li></ul>
- 18. Example 3: Simplify <ul><li>|9| + |-9|| </li></ul><ul><li>|9| + |-9| = 9 + 9 </li></ul><ul><li> = 18 </li></ul><ul><li>|13| - |-2| </li></ul><ul><li>|13| - |-2| = 13 – 2 </li></ul><ul><li> = 11 </li></ul>
- 19. Example 4: Evaluate the expression |x| - 7 if x = - 13
- 20. Example 4: Evaluate the expression |x| - 7 if x = - 13 |x| - 7 = |-13| - 7
- 21. Example 4: Evaluate the expression |x| - 7 if x = - 13 |x| - 7 = |-13| - 7 = 13 – 7
- 22. Example 4: Evaluate the expression |x| - 7 if x = - 13 |x| - 7 = |-13| - 7 = 13 – 7 = 6
- 23. Assignment: Lesson 109 do all evens

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