Grade 5 integers worksheet featuring addition and subtraction problems with positive and negative numbers.

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 like adding a positive).

We'll use these rules to solve each problem.

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Solving Each Problem:

1. 20 - (-14) - 1 = ?
$ 20 - (-14) = 20 + 14 = 34 $
$ 34 - 1 = 33 $
✔ Answer: 33

2. 8 + 11 - (-16) = ?
$ 8 + 11 = 19 $
$ 19 - (-16) = 19 + 16 = 35 $
✔ Answer: 35

3. 0 - (-16) - 3 = ?
$ 0 - (-16) = 0 + 16 = 16 $
$ 16 - 3 = 13 $
✔ Answer: 13

4. 11 - (-2) + 7 = ?
$ 11 - (-2) = 11 + 2 = 13 $
$ 13 + 7 = 20 $
✔ Answer: 20

5. -6 + (-4) + 20 = ?
$ -6 + (-4) = -10 $
$ -10 + 20 = 10 $
✔ Answer: 10

6. 1 - (-18) - (-9) = ?
$ 1 - (-18) = 1 + 18 = 19 $
$ 19 - (-9) = 19 + 9 = 28 $
✔ Answer: 28

7. 15 + (-11) - (-5) = ?
$ 15 + (-11) = 4 $
$ 4 - (-5) = 4 + 5 = 9 $
✔ Answer: 9

8. -12 - 15 - 16 = ?
$ -12 - 15 = -27 $
$ -27 - 16 = -43 $
✔ Answer: -43

9. 11 - (-7) + 2 = ?
$ 11 - (-7) = 11 + 7 = 18 $
$ 18 + 2 = 20 $
✔ Answer: 20

10. 17 - (-20) + 4 = ?
$ 17 - (-20) = 17 + 20 = 37 $
$ 37 + 4 = 41 $
✔ Answer: 41

11. -7 - 1 - 10 = ?
$ -7 - 1 = -8 $
$ -8 - 10 = -18 $
✔ Answer: -18

12. 11 - 15 + (-3) = ?
$ 11 - 15 = -4 $
$ -4 + (-3) = -7 $
✔ Answer: -7

13. 17 - 8 - (-18) = ?
$ 17 - 8 = 9 $
$ 9 - (-18) = 9 + 18 = 27 $
✔ Answer: 27

14. 18 + (-13) + (-14) = ?
$ 18 + (-13) = 5 $
$ 5 + (-14) = -9 $
✔ Answer: -9

15. -14 - 8 + (-1) = ?
$ -14 - 8 = -22 $
$ -22 + (-1) = -23 $
✔ Answer: -23

16. -20 - 4 + 0 = ?
$ -20 - 4 = -24 $
$ -24 + 0 = -24 $
✔ Answer: -24

17. -16 + (-7) + 15 = ?
$ -16 + (-7) = -23 $
$ -23 + 15 = -8 $
✔ Answer: -8

18. 11 + (-8) + 13 = ?
$ 11 + (-8) = 3 $
$ 3 + 13 = 16 $
✔ Answer: 16

19. 20 + 11 + (-8) = ?
$ 20 + 11 = 31 $
$ 31 + (-8) = 23 $
✔ Answer: 23

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 | 35 |
| 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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🔍 Explanation Summary:

- When you subtract a negative, it becomes addition.
- When you add a negative, it's the same as subtracting a positive.
- Always work left to right, applying the rules step by step.

This worksheet reinforces understanding of integer operations, which are essential for higher math.

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