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− 5. − 4. − 3. − 2. − 1. 0. 1. 2. 3. 4. 5. − 5. − 4. − 3. − 2. − 1. 0. 1. 2. 3. 4. 5. Example 1. Add the following integers on number lines. a. 1 + 4 . − 4. − 2. 0. 2. 4. 5. Example 1. Add the following integers on number lines. b. −1 + (−4) . − 6. − 5. − 4.

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  1. −5 −4 −3 −2 −1 0 1 2 3 4 5

  2. −5 −4 −3 −2 −1 0 1 2 3 4 5

  3. Example 1 Add the following integers on number lines. a. 1 + 4 −4 −2 0 2 4 5

  4. Example 1 Add the following integers on number lines. b. −1 + (−4) −6 −5 −4 −2 0 2

  5. Adding Integers with Like Signs • Add the absolute values of the addends. • Use the sign of the addends for the sum.

  6. Example 2 Add. a. −3 + (−4) = −7

  7. Example 2 Add. b. −4 + (−6) + (−2) = −12

  8. Example 3 Add the following integers on number lines. a. −3 + 7

  9. Example 3 Add the following integers on number lines. b. 4 + (−6)

  10. Adding Integers with Unlike Signs • Find the difference of the absolute values of the addends. • Use the sign of the addend with the greater absolute value for the sum.

  11. Example 4 Add. a. −9 + 3 = −6

  12. Example 4 Add. b. −4 + 12 = 8

  13. Example 4 Add. c. 8 + (−6) = 2

  14. Exercise Solve. 7 + y = −7 y = −14

  15. Exercise Solve. −15 + z + (−8) = −8 z = 15

  16. Exercise Solve. −8 = −4 + x x = −4

  17. Exercise Solve. a + |−23 + 6| = −32 a = −49

  18. Exercise Solve. |−12 + y| + (−4) = 17 y = −9 or 33

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