Let's solve each of the integer addition problems step by step, following the rules provided at the top of the worksheet:
Adding Integers Rules:
1.
Positive + Positive = Positive
Example: 3 + 4 = 7
2.
Negative + Negative = Negative
Example: (-7) + (-2) = -9
3.
Sum of a negative and a positive number:
Use the sign of the larger number and subtract.
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Now, let's solve each problem:
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1. -106 + 40
- One is negative, one is positive.
- Compare absolute values: |–106| = 106, |40| = 40 → 106 > 40
- So, the result will be
negative
- Subtract: 106 – 40 = 66
- Answer:
-66
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2. 13 + (-30)
- Same as 13 – 30
- 30 > 13, so result is
negative
- 30 – 13 = 17
- Answer:
-17
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3. 57 + (-15)
- 57 is positive, -15 is negative
- 57 > 15 → positive result
- 57 – 15 = 42
- Answer:
42
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4. 26 + 66
- Both positive → add them
- 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 their absolute values and keep negative sign
- 9 + 1 = 10 → -10
- Answer:
-10
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8. -29 + (-73)
- Both negative → add absolute values
- 29 + 73 = 102 → -102
- Answer:
-102
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9. 124 + (-18)
- 124 is positive, -18 is negative
- 124 > 18 → positive result
- 124 – 18 = 106
- Answer:
106
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10. 46 + (-2)
- 46 > 2 → positive result
- 46 – 2 = 44
- Answer:
44
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11. 38 + (-33)
- 38 > 33 → positive result
- 38 – 33 = 5
- 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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Parent Tip: Review the logic above to help your child master the concept of adding integers worksheet 7th grade.