Let’s solve each problem step by step. These are all addition and subtraction problems with positive and negative numbers (including decimals). Remember:
- Adding a negative number is the same as subtracting.
- Subtracting a negative number is the same as adding.
- When you add two positives, just add them.
- When you add a positive and a negative, subtract the smaller absolute value from the larger one and keep the sign of the bigger one.
We’ll go one by one.
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1) 5.08 - 30 = ?
Think: You’re taking away 30 from 5.08 → that means you go into negatives.
30 - 5.08 = 24.92 → so answer is
-24.92
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2) 24 + 71.08 = ?
Just add: 24 + 71.08 =
95.08
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3) 87 - (-47) = ?
Subtracting a negative = adding → 87 + 47 =
134
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4) 85 - (-28.005) = ?
Again, subtracting negative = adding → 85 + 28.005 =
113.005
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5) 62.51 + (-97.08) = ?
Adding a negative = subtracting → 62.51 - 97.08
Since 97.08 > 62.51, result is negative.
97.08 - 62.51 = 34.57 → so answer is
-34.57
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6) 78.001 + (-60) = ?
= 78.001 - 60 =
18.001
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7) 81.1 - 45 = ?
Simple subtraction: 81.1 - 45 =
36.1
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8) 8.3 + (-56.646) = ?
= 8.3 - 56.646 → since 56.646 > 8.3, answer is negative.
56.646 - 8.3 = 48.346 → so
-48.346
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9) 7.095 + (-84) = ?
= 7.095 - 84 → negative result.
84 - 7.095 = 76.905 → so
-76.905
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10) 44.07 + (-33.1) = ?
= 44.07 - 33.1 =
10.97
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11) 98.1 + 56.059 = ?
Add: 98.1 + 56.059 =
154.159
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12) 50.62 + 63.008 = ?
Add: 50.62 + 63.008 =
113.628
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13) 33.82 + 40 = ?
=
73.82
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14) 77.04 - 98.3 = ?
Negative result because 98.3 > 77.04
98.3 - 77.04 = 21.26 → so
-21.26
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15) 10 + (-77) = ?
= 10 - 77 =
-67
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16) 33 - (-49) = ?
= 33 + 49 =
82
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17) 83 + (-66) = ?
= 83 - 66 =
17
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18) 18.09 - (-21.914) = ?
= 18.09 + 21.914 =
40.004
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19) 51 - 76 = ?
Negative: 76 - 51 = 25 → so
-25
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20) 79 - 17.9 = ?
79.0 - 17.9 =
61.1
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Now let’s list all answers in order to match the worksheet format.
Final Answer:
1. -24.92
2. 95.08
3. 134
4. 113.005
5. -34.57
6. 18.001
7. 36.1
8. -48.346
9. -76.905
10. 10.97
11. 154.159
12. 113.628
13. 73.82
14. -21.26
15. -67
16. 82
17. 17
18. 40.004
19. -25
20. 61.1
Parent Tip: Review the logic above to help your child master the concept of adding subtracting multiplying and dividing rational numbers worksheet.
