Sure! Let’s solve each of the 12 integer addition problems step by step, using the rules provided at the top of the worksheet.
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Adding Rules Recap:
-
Positive + Positive → Add and keep positive sign.
Example: `5 + 4 = 9`
-
Negative + Negative → Add absolute values and keep negative sign.
Example: `(-7) + (-2) = -9`
-
Negative + Positive (or vice versa) → Subtract the smaller absolute value from the larger one, and use the sign of the number with the
larger absolute value.
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Now let’s solve each problem:
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1. -106 + 40
- One negative, one positive → subtract: `106 - 40 = 66`
- The larger absolute value is 106 (negative), so result is
negative.
✔ Answer: -66
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2. 13 + -30
- Same as `13 - 30` → subtract: `30 - 13 = 17`
- Larger absolute value is 30 (negative), so result is
negative.
✔ Answer: -17
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3. 57 + -15
- Same as `57 - 15 = 42`
- Larger absolute value is 57 (positive), so result is
positive.
✔ Answer: 42
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4. 26 + 66
- Both positive → add: `26 + 66 = 92`
✔ Answer: 92
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5. 82 + 139
- Both positive → add: `82 + 139 = 221`
✔ Answer: 221
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6. 17 + 54
- Both positive → add: `17 + 54 = 71`
✔ Answer: 71
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7. -9 + -1
- Both negative → add absolute values: `9 + 1 = 10`, keep negative sign.
✔ Answer: -10
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8. -29 + -73
- Both negative → add: `29 + 73 = 102`, keep negative sign.
✔ Answer: -102
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9. 124 + -18
- One positive, one negative → subtract: `124 - 18 = 106`
- Larger absolute value is 124 (positive), so result is
positive.
✔ Answer: 106
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10. 46 + -2
- Same as `46 - 2 = 44`
- Larger absolute value is 46 (positive).
✔ Answer: 44
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11. 38 + -33
- Subtract: `38 - 33 = 5`
- Larger absolute value is 38 (positive).
✔ Answer: 5
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12. 73 + 124
- Both positive → add: `73 + 124 = 197`
✔ Answer: 197
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##
✔ Final Answers:
1.
-66
2.
-17
3.
42
4.
92
5.
221
6.
71
7.
-10
8.
-102
9.
106
10.
44
11.
5
12.
197
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Let me know if you’d like a printable answer key or to check your work against these! 😊
Parent Tip: Review the logic above to help your child master the concept of 7th grade integers worksheet.