Significant Figures Worksheets | Printable Significant Figures ... - Free Printable
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Step-by-step solution for: Significant Figures Worksheets | Printable Significant Figures ...
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Show Answer Key & Explanations
Step-by-step solution for: Significant Figures Worksheets | Printable Significant Figures ...
Let's solve each of these decimal addition and subtraction problems step by step, and then round the answers appropriately. The instruction says "round accordingly," so we’ll round to the least precise decimal place among the numbers in each problem (i.e., the number with the fewest decimal places).
---
- Add:
44.47 + 7.2 = 51.67
51.67 + 9.49 = 61.16
- Least precise: 7.2 (1 decimal place)
- Round to 1 decimal place: 61.2
✔ Answer: 61.2
---
- Add:
1.49 + 26.5 = 27.99
27.99 + 94.91 = 122.90
- Least precise: 26.5 (1 decimal place)
- Round to 1 decimal place: 122.9
✔ Answer: 122.9
---
- Add:
7.62 + 39.2 = 46.82
46.82 + 9.554 = 56.374
- Least precise: 39.2 (1 decimal place)
- Round to 1 decimal place: 56.4
✔ Answer: 56.4
---
- Add: 2.3 + 9.49 = 11.79
- Least precise: 2.3 (1 decimal place)
- Round to 1 decimal place: 11.8
✔ Answer: 11.8
---
- Add:
3.7 + 15.183 = 18.883
18.883 + 16.2 = 35.083
- Least precise: 3.7 and 16.2 (1 decimal place)
- Round to 1 decimal place: 35.1
✔ Answer: 35.1
---
- Subtract: 53.14 - 24.643 = 28.497
- Least precise: 53.14 (2 decimal places)
- Round to 2 decimal places: 28.50
✔ Answer: 28.50
---
- Add:
12.82 + 18.133 = 30.953
30.953 + 5.5 = 36.453
- Least precise: 5.5 (1 decimal place)
- Round to 1 decimal place: 36.5
✔ Answer: 36.5
---
- Add: 11.31 + 7.5 = 18.81
- Least precise: 7.5 (1 decimal place)
- Round to 1 decimal place: 18.8
✔ Answer: 18.8
---
- Add:
9.29 + 6.7 = 15.99
15.99 + 32.68 = 48.67
- Least precise: 6.7 (1 decimal place)
- Round to 1 decimal place: 48.7
✔ Answer: 48.7
---
- Add: 2.6 + 88.412 = 91.012
- Least precise: 2.6 (1 decimal place)
- Round to 1 decimal place: 91.0
✔ Answer: 91.0
---
- Add: 29.896 + 54.28 = 84.176
- Least precise: 54.28 (2 decimal places)
- Round to 2 decimal places: 84.18
✔ Answer: 84.18
---
- Subtract: 67.11 - 18.353 = 48.757
- Least precise: 67.11 (2 decimal places)
- Round to 2 decimal places: 48.76
✔ Answer: 48.76
---
- Add: 66.91 + 14.2 = 81.11
- Least precise: 14.2 (1 decimal place)
- Round to 1 decimal place: 81.1
✔ Answer: 81.1
---
- Add:
3.3 + 3.421 = 6.721
6.721 + 36.2 = 42.921
- Least precise: 3.3 and 36.2 (1 decimal place)
- Round to 1 decimal place: 42.9
✔ Answer: 42.9
---
- Subtract: 5.1 - 4.379 = 0.721
- Least precise: 5.1 (1 decimal place)
- Round to 1 decimal place: 0.7
✔ Answer: 0.7
---
- Add: 3.69 + 54.4 = 58.09
- Least precise: 54.4 (1 decimal place)
- Round to 1 decimal place: 58.1
✔ Answer: 58.1
---
- Subtract: 61.56 - 2.9 = 58.66
- Least precise: 2.9 (1 decimal place)
- Round to 1 decimal place: 58.7
✔ Answer: 58.7
---
- Add: 41.85 + 2.93 = 44.78
- Both have 2 decimal places → no rounding needed
- Answer remains: 44.78
✔ Answer: 44.78
---
- Subtract: 61.7 - 2.58 = 59.12
- Least precise: 61.7 (1 decimal place)
- Round to 1 decimal place: 59.1
✔ Answer: 59.1
---
- Subtract: 75.4 - 5.4 = 70.0
- Both have 1 decimal place → answer is exact
- So: 70.0
✔ Answer: 70.0
---
| Problem | Answer |
|--------|--------|
| 1) | 61.2 |
| 2) | 122.9 |
| 3) | 56.4 |
| 4) | 11.8 |
| 5) | 35.1 |
| 6) | 28.50 |
| 7) | 36.5 |
| 8) | 18.8 |
| 9) | 48.7 |
| 10) | 91.0 |
| 11) | 84.18 |
| 12) | 48.76 |
| 13) | 81.1 |
| 14) | 42.9 |
| 15) | 0.7 |
| 16) | 58.1 |
| 17) | 58.7 |
| 18) | 44.78 |
| 19) | 59.1 |
| 20) | 70.0 |
> 📝 Note: When rounding, always look at the least precise measurement (fewest decimal places) in the original numbers. This ensures accuracy in significant figures.
Let me know if you'd like this formatted as a printable worksheet!
---
1) 44.47 + 7.2 + 9.49
- Add:
44.47 + 7.2 = 51.67
51.67 + 9.49 = 61.16
- Least precise: 7.2 (1 decimal place)
- Round to 1 decimal place: 61.2
✔ Answer: 61.2
---
2) 1.49 + 26.5 + 94.91
- Add:
1.49 + 26.5 = 27.99
27.99 + 94.91 = 122.90
- Least precise: 26.5 (1 decimal place)
- Round to 1 decimal place: 122.9
✔ Answer: 122.9
---
3) 7.62 + 39.2 + 9.554
- Add:
7.62 + 39.2 = 46.82
46.82 + 9.554 = 56.374
- Least precise: 39.2 (1 decimal place)
- Round to 1 decimal place: 56.4
✔ Answer: 56.4
---
4) 2.3 + 9.49
- Add: 2.3 + 9.49 = 11.79
- Least precise: 2.3 (1 decimal place)
- Round to 1 decimal place: 11.8
✔ Answer: 11.8
---
5) 3.7 + 15.183 + 16.2
- Add:
3.7 + 15.183 = 18.883
18.883 + 16.2 = 35.083
- Least precise: 3.7 and 16.2 (1 decimal place)
- Round to 1 decimal place: 35.1
✔ Answer: 35.1
---
6) 53.14 - 24.643
- Subtract: 53.14 - 24.643 = 28.497
- Least precise: 53.14 (2 decimal places)
- Round to 2 decimal places: 28.50
✔ Answer: 28.50
---
7) 12.82 + 18.133 + 5.5
- Add:
12.82 + 18.133 = 30.953
30.953 + 5.5 = 36.453
- Least precise: 5.5 (1 decimal place)
- Round to 1 decimal place: 36.5
✔ Answer: 36.5
---
8) 11.31 + 7.5
- Add: 11.31 + 7.5 = 18.81
- Least precise: 7.5 (1 decimal place)
- Round to 1 decimal place: 18.8
✔ Answer: 18.8
---
9) 9.29 + 6.7 + 32.68
- Add:
9.29 + 6.7 = 15.99
15.99 + 32.68 = 48.67
- Least precise: 6.7 (1 decimal place)
- Round to 1 decimal place: 48.7
✔ Answer: 48.7
---
10) 2.6 + 88.412
- Add: 2.6 + 88.412 = 91.012
- Least precise: 2.6 (1 decimal place)
- Round to 1 decimal place: 91.0
✔ Answer: 91.0
---
11) 29.896 + 54.28
- Add: 29.896 + 54.28 = 84.176
- Least precise: 54.28 (2 decimal places)
- Round to 2 decimal places: 84.18
✔ Answer: 84.18
---
12) 67.11 - 18.353
- Subtract: 67.11 - 18.353 = 48.757
- Least precise: 67.11 (2 decimal places)
- Round to 2 decimal places: 48.76
✔ Answer: 48.76
---
13) 66.91 + 14.2
- Add: 66.91 + 14.2 = 81.11
- Least precise: 14.2 (1 decimal place)
- Round to 1 decimal place: 81.1
✔ Answer: 81.1
---
14) 3.3 + 3.421 + 36.2
- Add:
3.3 + 3.421 = 6.721
6.721 + 36.2 = 42.921
- Least precise: 3.3 and 36.2 (1 decimal place)
- Round to 1 decimal place: 42.9
✔ Answer: 42.9
---
15) 5.1 - 4.379
- Subtract: 5.1 - 4.379 = 0.721
- Least precise: 5.1 (1 decimal place)
- Round to 1 decimal place: 0.7
✔ Answer: 0.7
---
16) 3.69 + 54.4
- Add: 3.69 + 54.4 = 58.09
- Least precise: 54.4 (1 decimal place)
- Round to 1 decimal place: 58.1
✔ Answer: 58.1
---
17) 61.56 - 2.9
- Subtract: 61.56 - 2.9 = 58.66
- Least precise: 2.9 (1 decimal place)
- Round to 1 decimal place: 58.7
✔ Answer: 58.7
---
18) 41.85 + 2.93
- Add: 41.85 + 2.93 = 44.78
- Both have 2 decimal places → no rounding needed
- Answer remains: 44.78
✔ Answer: 44.78
---
19) 61.7 - 2.58
- Subtract: 61.7 - 2.58 = 59.12
- Least precise: 61.7 (1 decimal place)
- Round to 1 decimal place: 59.1
✔ Answer: 59.1
---
20) 75.4 - 5.4
- Subtract: 75.4 - 5.4 = 70.0
- Both have 1 decimal place → answer is exact
- So: 70.0
✔ Answer: 70.0
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1) | 61.2 |
| 2) | 122.9 |
| 3) | 56.4 |
| 4) | 11.8 |
| 5) | 35.1 |
| 6) | 28.50 |
| 7) | 36.5 |
| 8) | 18.8 |
| 9) | 48.7 |
| 10) | 91.0 |
| 11) | 84.18 |
| 12) | 48.76 |
| 13) | 81.1 |
| 14) | 42.9 |
| 15) | 0.7 |
| 16) | 58.1 |
| 17) | 58.7 |
| 18) | 44.78 |
| 19) | 59.1 |
| 20) | 70.0 |
> 📝 Note: When rounding, always look at the least precise measurement (fewest decimal places) in the original numbers. This ensures accuracy in significant figures.
Let me know if you'd like this formatted as a printable worksheet!
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting sig figs with.
