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Worksheet for practicing addition and subtraction of rational numbers with decimal values.

A worksheet titled "Adding and Subtracting Rational Numbers" with 20 math problems involving addition and subtraction of decimal numbers, including positive and negative values, with an answer column on the right side.

A worksheet titled "Adding and Subtracting Rational Numbers" with 20 math problems involving addition and subtraction of decimal numbers, including positive and negative values, with an answer column on the right side.

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Show Answer Key & Explanations Step-by-step solution for: Adding and Subtracting Rational Numbers Worksheet | Free ...
Sure! Let’s solve each problem step by step. These are all adding and subtracting rational numbers — which include integers, decimals, and fractions (though here we’re dealing with decimals and whole numbers).

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Key Rules to Remember:


- Subtracting a negative is the same as adding a positive:
`a - (-b) = a + b`
- Adding a negative is the same as subtracting:
`a + (-b) = a - b`
- When adding or subtracting decimals, align decimal points.
- Pay attention to signs!

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Let’s go one by one:

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1) 2 - (-73)
→ Subtracting a negative = adding a positive
→ `2 + 73 = 75`
Answer: 75

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2) 39 + (-20.4)
→ Adding a negative = subtracting
→ `39 - 20.4 = 18.6`
Answer: 18.6

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3) 67.086 - (-20)
→ Subtracting a negative = adding a positive
→ `67.086 + 20 = 87.086`
Answer: 87.086

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4) 60 + (-19)
→ Adding a negative = subtracting
→ `60 - 19 = 41`
Answer: 41

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5) 87 - 64.05
→ Straight subtraction
→ `87.00 - 64.05 = 22.95`
Answer: 22.95

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6) 93 - (-31)
→ Subtracting a negative = adding a positive
→ `93 + 31 = 124`
Answer: 124

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7) 2 + 17.02
→ Simple addition
→ `2.00 + 17.02 = 19.02`
Answer: 19.02

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8) 3.008 + (-46)
→ Adding a negative = subtracting
→ `3.008 - 46 = -42.992`
Answer: -42.992

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9) 85.082 + 48.11
→ Add decimals
→ `85.082 + 48.110 = 133.192`
Answer: 133.192

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10) 56.95 + 40
→ `56.95 + 40.00 = 96.95`
Answer: 96.95

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11) 66 - 86.005
→ `66.000 - 86.005 = -20.005`
Answer: -20.005

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12) 20 - (-4.09)
→ Subtracting a negative = adding
→ `20 + 4.09 = 24.09`
Answer: 24.09

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13) 68 - 55
→ Simple subtraction
→ `68 - 55 = 13`
Answer: 13

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14) 17 - (-58.12)
→ Subtracting a negative = adding
→ `17 + 58.12 = 75.12`
Answer: 75.12

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15) 17.001 + 78
→ `17.001 + 78.000 = 95.001`
Answer: 95.001

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16) 32 + (-72.1)
→ `32 - 72.1 = -40.1`
Answer: -40.1

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17) 36.289 + (-83.73)
→ `36.289 - 83.73 = -47.441`
Answer: -47.441

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18) 12.006 - (-49.29)
→ Subtracting a negative = adding
→ `12.006 + 49.29 = 61.296`
Answer: 61.296

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19) 51.8 + (-92.004)
→ `51.8 - 92.004 = -40.204`
Answer: -40.204

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20) 59.22 - 33.82
→ `59.22 - 33.82 = 25.40`
Answer: 25.4

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## Final Answers List:

1. 75
2. 18.6
3. 87.086
4. 41
5. 22.95
6. 124
7. 19.02
8. -42.992
9. 133.192
10. 96.95
11. -20.005
12. 24.09
13. 13
14. 75.12
15. 95.001
16. -40.1
17. -47.441
18. 61.296
19. -40.204
20. 25.4

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Let me know if you’d like this in a printable format or need explanations for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of rational number worksheet.
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