Let's solve each of these integer addition problems step by step. Remember the rules for adding integers:
-
Same signs: Add absolute values and keep the common sign.
-
Different signs: Subtract the smaller absolute value from the larger, and use the sign of the number with the larger absolute value.
---
1. $ 5 + (-16) + 15 $
First: $ 5 + (-16) = -11 $
Then: $ -11 + 15 = 4 $
✔ Answer: 4
---
2. $ 0 + (-8) + (-7) $
$ 0 + (-8) = -8 $
$ -8 + (-7) = -15 $
✔ Answer: -15
---
3. $ (-16) + 0 + 5 $
$ -16 + 0 = -16 $
$ -16 + 5 = -11 $
✔ Answer: -11
---
4. $ -4 + (-19) + 15 $
$ -4 + (-19) = -23 $
$ -23 + 15 = -8 $
✔ Answer: -8
---
5. $ (-18) + (-5) + (-17) $
All negative: add absolute values: $ 18 + 5 + 17 = 40 $ → $ -40 $
✔ Answer: -40
---
6. $ (-17) + (-15) + (-11) $
Add: $ 17 + 15 + 11 = 43 $ → $ -43 $
✔ Answer: -43
---
7. $ (-11) + 18 + 5 $
$ -11 + 18 = 7 $
$ 7 + 5 = 12 $
✔ Answer: 12
---
8. $ (-10) + (-16) + 7 $
$ -10 + (-16) = -26 $
$ -26 + 7 = -19 $
✔ Answer: -19
---
9. $ (-15) + (-19) + 5 $
$ -15 + (-19) = -34 $
$ -34 + 5 = -29 $
✔ Answer: -29
---
10. $ (-13) + 18 + 5 $
$ -13 + 18 = 5 $
$ 5 + 5 = 10 $
✔ Answer: 10
---
11. $ 12 + (-11) + 6 $
$ 12 + (-11) = 1 $
$ 1 + 6 = 7 $
✔ Answer: 7
---
12. $ (-9) + (-11) + (-17) $
All negative: $ 9 + 11 + 17 = 37 $ → $ -37 $
✔ Answer: -37
---
13. $ 2 + (-15) + (-10) $
$ 2 + (-15) = -13 $
$ -13 + (-10) = -23 $
✔ Answer: -23
---
14. $ (-10) + (-8) + (-9) $
$ 10 + 8 + 9 = 27 $ → $ -27 $
✔ Answer: -27
---
15. $ (-12) + 8 + (-13) $
$ -12 + 8 = -4 $
$ -4 + (-13) = -17 $
✔ Answer: -17
---
16. $ 19 + (-3) + (-7) $
$ 19 + (-3) = 16 $
$ 16 + (-7) = 9 $
✔ Answer: 9
---
17. $ (-15) + (-1) + (-9) $
All negative: $ 15 + 1 + 9 = 25 $ → $ -25 $
✔ Answer: -25
---
18. $ (-8) + 15 + 13 $
$ -8 + 15 = 7 $
$ 7 + 13 = 20 $
✔ Answer: 20
---
19. $ (-8) + (-9) + 15 $
$ -8 + (-9) = -17 $
$ -17 + 15 = -2 $
✔ Answer: -2
---
20. $ 22 + (-9) + (-10) $
$ 22 + (-9) = 13 $
$ 13 + (-10) = 3 $
✔ Answer: 3
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1 | 4 |
| 2 | -15 |
| 3 | -11 |
| 4 | -8 |
| 5 | -40 |
| 6 | -43 |
| 7 | 12 |
| 8 | -19 |
| 9 | -29 |
| 10 | 10 |
| 11 | 7 |
| 12 | -37 |
| 13 | -23 |
| 14 | -27 |
| 15 | -17 |
| 16 | 9 |
| 17 | -25 |
| 18 | 20 |
| 19 | -2 |
| 20 | 3 |
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of adding integers worksheet with answers.