Here is the complete solution to the worksheet
“Positive and Negative Integers”, with step-by-step explanations for each problem.
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🧮 Key Rules to Remember:
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Adding two positives → Add normally.
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Adding two negatives → Add absolute values, keep negative sign.
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Adding positive and negative → Subtract smaller absolute value from larger; sign follows the number with larger absolute value.
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Subtracting a negative → Same as adding the positive. (e.g., `a - (-b) = a + b`)
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Subtracting a positive → Just subtract. (e.g., `a - b`)
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##
✔ Answers with Explanations:
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① (-5) + 7 =
→ 7 is larger than 5 → subtract: 7 - 5 = 2
→ Sign of larger number (7) is positive →
+2
✔ Answer: 2
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② (-27) + (-12) =
→ Both negative → add absolute values: 27 + 12 = 39
→ Keep negative sign →
-39
✔ Answer: -39
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③ 27 - (-2) =
→ Subtracting a negative → becomes addition: 27 + 2 =
29
✔ Answer: 29
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④ 14 + (-8) =
→ Positive + negative → subtract: 14 - 8 = 6
→ Sign of larger number (14) is positive →
+6
✔ Answer: 6
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⑤ (-9) + (2) =
→ Negative + positive → subtract: 9 - 2 = 7
→ Sign of larger number (9) is negative →
-7
✔ Answer: -7
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⑥ 33 + 9 =
→ Both positive → add: 33 + 9 =
42
✔ Answer: 42
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⑦ 6 + (-9) =
→ Positive + negative → subtract: 9 - 6 = 3
→ Sign of larger number (9) is negative →
-3
✔ Answer: -3
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⑧ 28 - 3 =
→ Simple subtraction: 28 - 3 =
25
✔ Answer: 25
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⑨ (-10) + (-2) =
→ Both negative → add: 10 + 2 = 12 →
-12
✔ Answer: -12
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⑩ -9 + 13 =
→ Negative + positive → subtract: 13 - 9 = 4
→ Sign of larger number (13) is positive →
+4
✔ Answer: 4
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⑪ (-5) + (-10) =
→ Both negative → add: 5 + 10 = 15 →
-15
✔ Answer: -15
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⑫ 18 - (-2) =
→ Subtracting negative → becomes: 18 + 2 =
20
✔ Answer: 20
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⑬ (-9) + (-4) =
→ Both negative → 9 + 4 = 13 →
-13
✔ Answer: -13
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⑭ (-6) + (-9) =
→ Both negative → 6 + 9 = 15 →
-15
✔ Answer: -15
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⑮ 2 + (-5) =
→ Positive + negative → 5 - 2 = 3 → sign of 5 (negative) →
-3
✔ Answer: -3
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⑯ 8 + 16 =
→ Both positive → 8 + 16 =
24
✔ Answer: 24
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⑰ (-1) + 8 =
→ Negative + positive → 8 - 1 = 7 → sign of 8 (positive) →
+7
✔ Answer: 7
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⑱ (-3) + (-2) =
→ Both negative → 3 + 2 = 5 →
-5
✔ Answer: -5
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⑲ (-2) + (-2) =
→ Both negative → 2 + 2 = 4 →
-4
✔ Answer: -4
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⑳ 5 - (-1) =
→ Subtracting negative → 5 + 1 =
6
✔ Answer: 6
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㉑ (-9) + 3 =
→ Negative + positive → 9 - 3 = 6 → sign of 9 (negative) →
-6
✔ Answer: -6
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㉒ (-6) + (-5) =
→ Both negative → 6 + 5 = 11 →
-11
✔ Answer: -11
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## 📋 Final Answer Key:
| # | Answer |
|---|--------|
| ① | 2 |
| ② | -39 |
| ③ | 29 |
| ④ | 6 |
| ⑤ | -7 |
| ⑥ | 42 |
| ⑦ | -3 |
| ⑧ | 25 |
| ⑨ | -12 |
| ⑩ | 4 |
| ⑪ | -15 |
| ⑫ | 20 |
| ⑬ | -13 |
| ⑭ | -15 |
| ⑮ | -3 |
| ⑯ | 24 |
| ⑰ | 7 |
| ⑱ | -5 |
| ⑲ | -4 |
| ⑳ | 6 |
| ㉑ | -6 |
| ㉒ | -11 |
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Parent Tip: Review the logic above to help your child master the concept of negative and positive integers worksheet.
