Let's solve each of the problems on the worksheet step by step. The worksheet is about
adding and subtracting integers, so we'll use the rules for operations with positive and negative numbers.
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Rules to Remember:
-
Adding a negative number is the same as
subtracting a positive number.
- Example: $ a + (-b) = a - b $
-
Subtracting a negative number is the same as
adding a positive number.
- Example: $ a - (-b) = a + b $
- When adding or subtracting integers, consider signs carefully.
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Now let’s go through each problem:
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1) $ 98 - (-88) + (-97) $
- $ 98 - (-88) = 98 + 88 = 186 $
- $ 186 + (-97) = 186 - 97 = 89 $
✔ Answer: 89
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2) $ -29 - 31 - 28 $
- $ -29 - 31 = -60 $
- $ -60 - 28 = -88 $
✔ Answer: -88
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3) $ 18 + (-28) - (-73) $
- $ 18 + (-28) = 18 - 28 = -10 $
- $ -10 - (-73) = -10 + 73 = 63 $
✔ Answer: 63
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4) $ 68 - (-68) - 55 $
- $ 68 - (-68) = 68 + 68 = 136 $
- $ 136 - 55 = 81 $
✔ Answer: 81
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5) $ -48 + 22 - (-17) $
- $ -48 + 22 = -26 $
- $ -26 - (-17) = -26 + 17 = -9 $
✔ Answer: -9
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6) $ 45 - 93 + (-65) $
- $ 45 - 93 = -48 $
- $ -48 + (-65) = -48 - 65 = -113 $
✔ Answer: -113
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7) $ 91 - 81 + 31 $
- $ 91 - 81 = 10 $
- $ 10 + 31 = 41 $
✔ Answer: 41
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8) $ -77 - 42 - 20 $
- $ -77 - 42 = -119 $
- $ -119 - 20 = -139 $
✔ Answer: -139
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9) $ -50 + 80 + (-86) $
- $ -50 + 80 = 30 $
- $ 30 + (-86) = 30 - 86 = -56 $
✔ Answer: -56
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10) $ 54 - (-57) - 3 $
- $ 54 - (-57) = 54 + 57 = 111 $
- $ 111 - 3 = 108 $
✔ Answer: 108
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11) $ 33 - 48 + (-34) $
- $ 33 - 48 = -15 $
- $ -15 + (-34) = -15 - 34 = -49 $
✔ Answer: -49
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12) $ 57 + 43 - 97 $
- $ 57 + 43 = 100 $
- $ 100 - 97 = 3 $
✔ Answer: 3
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13) $ 69 - (-62) + 92 $
- $ 69 - (-62) = 69 + 62 = 131 $
- $ 131 + 92 = 223 $
✔ Answer: 223
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14) $ 55 - 9 + (-37) $
- $ 55 - 9 = 46 $
- $ 46 + (-37) = 46 - 37 = 9 $
✔ Answer: 9
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15) $ -89 + (-94) - 43 $
- $ -89 + (-94) = -89 - 94 = -183 $
- $ -183 - 43 = -226 $
✔ Answer: -226
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16) $ 27 - 66 - 74 $
- $ 27 - 66 = -39 $
- $ -39 - 74 = -113 $
✔ Answer: -113
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17) $ 95 + 0 - (-90) $
- $ 95 + 0 = 95 $
- $ 95 - (-90) = 95 + 90 = 185 $
✔ Answer: 185
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18) $ 56 + (-82) - 26 $
- $ 56 + (-82) = 56 - 82 = -26 $
- $ -26 - 26 = -52 $
✔ Answer: -52
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19) $ -55 + (-62) + (-15) $
- $ -55 + (-62) = -117 $
- $ -117 + (-15) = -132 $
✔ Answer: -132
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20) $ 41 - (-19) - (-75) $
- $ 41 - (-19) = 41 + 19 = 60 $
- $ 60 - (-75) = 60 + 75 = 135 $
✔ Answer: 135
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✔ Final Answers:
1. 89
2. -88
3. 63
4. 81
5. -9
6. -113
7. 41
8. -139
9. -56
10. 108
11. -49
12. 3
13. 223
14. 9
15. -226
16. -113
17. 185
18. -52
19. -132
20. 135
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Parent Tip: Review the logic above to help your child master the concept of subtracting integers word problems worksheet.