Rounding Decimals to the nearest whole - Free Printable
Educational worksheet: Rounding Decimals to the nearest whole. Download and print for classroom or home learning activities.
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Step-by-step solution for: Rounding Decimals to the nearest whole
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Show Answer Key & Explanations
Step-by-step solution for: Rounding Decimals to the nearest whole
Problem Overview:
The task involves rounding numbers to the nearest whole number. Rounding to the nearest whole number means determining whether the decimal part of a number is closer to the lower or higher whole number.
Steps for Rounding:
1. Identify the decimal part of the number.
2. Compare the decimal part to 0.5:
- If the decimal part is less than 0.5, round down to the nearest whole number.
- If the decimal part is 0.5 or greater, round up to the nearest whole number.
Solution:
#### Part 1: Round these numbers to the nearest one
We will round each number individually:
1. 5.7: The decimal part is 0.7, which is greater than 0.5. Round up to 6.
2. 2.8: The decimal part is 0.8, which is greater than 0.5. Round up to 3.
3. 6.5: The decimal part is 0.5. Round up to 7.
4. 8.4: The decimal part is 0.4, which is less than 0.5. Round down to 8.
5. 1.4: The decimal part is 0.4, which is less than 0.5. Round down to 1.
6. 9.0: The decimal part is 0.0, which is less than 0.5. Round down to 9.
7. 4.5: The decimal part is 0.5. Round up to 5.
8. 2.4: The decimal part is 0.4, which is less than 0.5. Round down to 2.
9. 5.7: The decimal part is 0.7, which is greater than 0.5. Round up to 6.
10. 9.6: The decimal part is 0.6, which is greater than 0.5. Round up to 10.
11. 12.3: The decimal part is 0.3, which is less than 0.5. Round down to 12.
12. 14.1: The decimal part is 0.1, which is less than 0.5. Round down to 14.
13. 17.1: The decimal part is 0.1, which is less than 0.5. Round down to 17.
14. 26.6: The decimal part is 0.6, which is greater than 0.5. Round up to 27.
15. 32.5: The decimal part is 0.5. Round up to 33.
16. 22.4: The decimal part is 0.4, which is less than 0.5. Round down to 22.
17. 14.8: The decimal part is 0.8, which is greater than 0.5. Round up to 15.
18. 40.6: The decimal part is 0.6, which is greater than 0.5. Round up to 41.
19. 9.6: The decimal part is 0.6, which is greater than 0.5. Round up to 10.
20. 63.4: The decimal part is 0.4, which is less than 0.5. Round down to 63.
21. 35.3: The decimal part is 0.3, which is less than 0.5. Round down to 35.
22. 4.37: The decimal part is 0.37, which is less than 0.5. Round down to 4.
23. 8.72: The decimal part is 0.72, which is greater than 0.5. Round up to 9.
24. 2.48: The decimal part is 0.48, which is less than 0.5. Round down to 2.
#### Final Answers for Part 1:
1. 6
2. 3
3. 7
4. 8
5. 1
6. 9
7. 5
8. 2
9. 6
10. 10
11. 12
12. 14
13. 17
14. 27
15. 33
16. 22
17. 15
18. 41
19. 10
20. 63
21. 35
22. 4
23. 9
24. 2
---
#### Part 2: Draw an arrow to match each number to its nearest whole.
We will match each number to its nearest whole number using the same rounding rules:
- 3.6: The decimal part is 0.6, which is greater than 0.5. Round up to 4.
- 2.4: The decimal part is 0.4, which is less than 0.5. Round down to 2.
- 4.8: The decimal part is 0.8, which is greater than 0.5. Round up to 5.
- 9.17: The decimal part is 0.17, which is less than 0.5. Round down to 9.
- 7.5: The decimal part is 0.5. Round up to 8.
- 0.6: The decimal part is 0.6, which is greater than 0.5. Round up to 1.
- 5.5: The decimal part is 0.5. Round up to 6.
- 3.29: The decimal part is 0.29, which is less than 0.5. Round down to 3.
- 6.55: The decimal part is 0.55, which is greater than 0.5. Round up to 7.
#### Final Matches for Part 2:
- 3.6 → 4
- 2.4 → 2
- 4.8 → 5
- 9.17 → 9
- 7.5 → 8
- 0.6 → 1
- 5.5 → 6
- 3.29 → 3
- 6.55 → 7
---
Final Answer:
\[
\boxed{
\begin{array}{ll}
\text{Part 1:} & 6, 3, 7, 8, 1, 9, 5, 2, 6, 10, 12, 14, 17, 27, 33, 22, 15, 41, 10, 63, 35, 4, 9, 2 \\
\text{Part 2:} & 3.6 \to 4, 2.4 \to 2, 4.8 \to 5, 9.17 \to 9, 7.5 \to 8, 0.6 \to 1, 5.5 \to 6, 3.29 \to 3, 6.55 \to 7
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of rounding off numbers worksheet.