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 - 1 = 34 - 1 =
33
2.
-8 + 11 - (-16) = ?
→ -8 + 11 + 16 = 3 + 16 =
19
3.
0 - (-16) - 3 = ?
→ 0 + 16 - 3 = 16 - 3 =
13
4.
11 - (-2) + 7 = ?
→ 11 + 2 + 7 = 13 + 7 =
20
5.
-6 + (-4) + 20 = ?
→ -6 - 4 + 20 = -10 + 20 =
10
6.
1 - (-18) - (-9) = ?
→ 1 + 18 + 9 = 19 + 9 =
28
7.
15 + (-11) - (-5) = ?
→ 15 - 11 + 5 = 4 + 5 =
9
8.
-12 - 15 - 16 = ?
→ -12 - 15 = -27; -27 - 16 =
-43
9.
11 - (-7) + 2 = ?
→ 11 + 7 + 2 = 18 + 2 =
20
10.
17 - (-20) + 4 = ?
→ 17 + 20 + 4 = 37 + 4 =
41
11.
-7 - 1 - 10 = ?
→ -7 - 1 = -8; -8 - 10 =
-18
12.
11 - 15 + (-3) = ?
→ 11 - 15 = -4; -4 - 3 =
-7
13.
17 - 8 - (-18) = ?
→ 17 - 8 = 9; 9 + 18 =
27
14.
18 + (-13) + (-14) = ?
→ 18 - 13 - 14 = 5 - 14 =
-9
15.
-14 - 8 + (-1) = ?
→ -14 - 8 = -22; -22 - 1 =
-23
16.
-20 - 4 + 0 = ?
→ -20 - 4 = -24; -24 + 0 =
-24
17.
-16 + (-7) + 15 = ?
→ -16 - 7 = -23; -23 + 15 =
-8
18.
11 + (-8) + 13 = ?
→ 11 - 8 = 3; 3 + 13 =
16
19.
20 + 11 + (-8) = ?
→ 20 + 11 = 31; 31 - 8 =
23
20.
6 + 1 - (-3) = ?
→ 6 + 1 = 7; 7 + 3 =
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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📝 Summary Tips:
- Remember:
Subtracting a negative is the same as adding a positive.
- Combine like terms carefully, especially with signs.
- Always go step-by-step to avoid mistakes.
Let me know if you'd like this printed in a formatted worksheet or explained further!
Parent Tip: Review the logic above to help your child master the concept of fun integer worksheet.