Addition and subtraction of integers worksheets | Worsheets library - Free Printable

Let's solve each problem step by step from the worksheet titled "Addition and subtraction of integers".

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Understanding the Rules:

- Adding a positive number: move right on the number line.
- Adding a negative number: move left on the number line.
- Subtracting a positive number: move left.
- Subtracting a negative number: move right (because subtracting a negative is the same as adding a positive).

Also, remember:
- $ a - (-b) = a + b $
- $ a + (-b) = a - b $

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Now, let’s solve each problem:

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1. $ 20 - (-14) - 1 = $

- $ 20 - (-14) = 20 + 14 = 34 $
- $ 34 - 1 = 33 $

✔ Answer: 33

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2. $ -8 + 11 - (-16) = $

- $ -8 + 11 = 3 $
- $ 3 - (-16) = 3 + 16 = 19 $

✔ Answer: 19

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3. $ 0 - (-16) - 3 = $

- $ 0 - (-16) = 0 + 16 = 16 $
- $ 16 - 3 = 13 $

✔ Answer: 13

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4. $ 11 - (-2) + 7 = $

- $ 11 - (-2) = 11 + 2 = 13 $
- $ 13 + 7 = 20 $

✔ Answer: 20

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5. $ -6 + (-4) + 20 = $

- $ -6 + (-4) = -10 $
- $ -10 + 20 = 10 $

✔ Answer: 10

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6. $ 1 - (-18) - (-9) = $

- $ 1 - (-18) = 1 + 18 = 19 $
- $ 19 - (-9) = 19 + 9 = 28 $

✔ Answer: 28

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7. $ 15 + (-11) - (-5) = $

- $ 15 + (-11) = 15 - 11 = 4 $
- $ 4 - (-5) = 4 + 5 = 9 $

✔ Answer: 9

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8. $ -12 - 15 - 16 = $

- $ -12 - 15 = -27 $
- $ -27 - 16 = -43 $

✔ Answer: -43

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9. $ 11 - (-7) + 2 = $

- $ 11 - (-7) = 11 + 7 = 18 $
- $ 18 + 2 = 20 $

✔ Answer: 20

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10. $ 17 - (-20) + 4 = $

- $ 17 - (-20) = 17 + 20 = 37 $
- $ 37 + 4 = 41 $

✔ Answer: 41

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11. $ -7 - 1 - 10 = $

- $ -7 - 1 = -8 $
- $ -8 - 10 = -18 $

✔ Answer: -18

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12. $ 11 - 15 + (-3) = $

- $ 11 - 15 = -4 $
- $ -4 + (-3) = -4 - 3 = -7 $

✔ Answer: -7

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13. $ 17 - 8 - (-18) = $

- $ 17 - 8 = 9 $
- $ 9 - (-18) = 9 + 18 = 27 $

✔ Answer: 27

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14. $ 18 + (-13) + (-14) = $

- $ 18 + (-13) = 18 - 13 = 5 $
- $ 5 + (-14) = 5 - 14 = -9 $

✔ Answer: -9

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15. $ -14 - 8 + (-1) = $

- $ -14 - 8 = -22 $
- $ -22 + (-1) = -22 - 1 = -23 $

✔ Answer: -23

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16. $ -20 - 4 + 0 = $

- $ -20 - 4 = -24 $
- $ -24 + 0 = -24 $

✔ Answer: -24

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17. $ -16 + (-7) + 15 = $

- $ -16 + (-7) = -23 $
- $ -23 + 15 = -8 $

✔ Answer: -8

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18. $ 11 + (-8) + 13 = $

- $ 11 + (-8) = 11 - 8 = 3 $
- $ 3 + 13 = 16 $

✔ Answer: 16

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19. $ 20 + 11 + (-8) = $

- $ 20 + 11 = 31 $
- $ 31 + (-8) = 31 - 8 = 23 $

✔ Answer: 23

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20. $ 6 + 1 - (-3) = $

- $ 6 + 1 = 7 $
- $ 7 - (-3) = 7 + 3 = 10 $

✔ Answer: 10

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | 33 |
| 2 | 19 |
| 3 | 13 |
| 4 | 20 |
| 5 | 10 |
| 6 | 28 |
| 7 | 9 |
| 8 | -43 |
| 9 | 20 |
| 10 | 41 |
| 11 | -18 |
| 12 | -7 |
| 13 | 27 |
| 14 | -9 |
| 15 | -23 |
| 16 | -24 |
| 17 | -8 |
| 18 | 16 |
| 19 | 23 |
| 20 | 10 |

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