Let's solve each problem step by step. The task involves
adding and subtracting integers, including both positive and negative numbers.
We'll go through each one, applying the rules:
- Adding a positive number: move right on the number line.
- Adding a negative number: move left (same as subtracting a positive).
- Subtracting a negative number: becomes addition (e.g., $ a - (-b) = a + b $).
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Solutions:
1. $(-10) + 5 = -5$
→ Start at -10, add 5 → $-10 + 5 = -5$
2. $(-3) + 4 = 1$
→ Start at -3, add 4 → $-3 + 4 = 1$
3. $7 + (-6) = 1$
→ Same as $7 - 6 = 1$
4. $(-4) + (-2) = -6$
→ Adding two negatives: $-4 - 2 = -6$
5. $(-4) + 5 = 1$
→ $-4 + 5 = 1$
6. $(-15) - 7 = -22$
→ Subtracting 7 from -15 → $-15 - 7 = -22$
7. $(-9) - (-6) = -9 + 6 = -3$
→ Subtracting a negative is adding: $-9 + 6 = -3$
8. $5 - (-9) = 5 + 9 = 14$
→ Again, subtracting a negative → $5 + 9 = 14$
9. $(-4) + 9 = 5$
→ $-4 + 9 = 5$
10. $(-2) + 1 = -1$
→ $-2 + 1 = -1$
11. $6 + (-3) = 3$
→ $6 - 3 = 3$
12. $(-3) + (-5) = -8$
→ $-3 - 5 = -8$
13. $(-1) + 2 = 1$
→ $-1 + 2 = 1$
14. $(-3) - 7 = -10$
→ $-3 - 7 = -10$
15. $(-2) - (-6) = -2 + 6 = 4$
→ Subtracting a negative → $-2 + 6 = 4$
16. $9 - (-3) = 9 + 3 = 12$
→ $9 + 3 = 12$
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✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1 | -5 |
| 2 | 1 |
| 3 | 1 |
| 4 | -6 |
| 5 | 1 |
| 6 | -22 |
| 7 | -3 |
| 8 | 14 |
| 9 | 5 |
| 10 | -1 |
| 11 | 3 |
| 12 | -8 |
| 13 | 1 |
| 14 | -10 |
| 15 | 4 |
| 16 | 12 |
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📌 Key Tips:
- When you
subtract a negative, it becomes
addition.
- When adding numbers with different signs, subtract their absolute values and keep the sign of the larger number.
- When adding two negatives, add their absolute values and keep the negative sign.
Let me know if you'd like this explained visually or with number lines!
Parent Tip: Review the logic above to help your child master the concept of adding integer worksheet.