Rounding Numbers Worksheet – Practice rounding decimals to nearest tenth, hundredth, and thousandth.
Educational worksheet: Rounding Decimals to the Nearest Whole Number - Maths with Mum. Download and print for classroom or home learning activities.
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Show Answer Key & Explanations
Step-by-step solution for: Rounding Decimals to the Nearest Whole Number - Maths with Mum
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Show Answer Key & Explanations
Step-by-step solution for: Rounding Decimals to the Nearest Whole Number - Maths with Mum
Let's solve the rounding problem step by step. We are asked to round each number to the nearest tenth, nearest hundredth, and nearest thousandth.
Here’s how rounding works:
- Nearest tenth: Look at the hundredths place (2nd decimal). If it’s 5 or more, round up; otherwise, keep the tenths digit.
- Nearest hundredth: Look at the thousandths place (3rd decimal). If it’s 5 or more, round up; otherwise, keep the hundredths digit.
- Nearest thousandth: Look at the ten-thousandths place (4th decimal). If it’s 5 or more, round up; otherwise, keep the thousandths digit.
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1. 5.8739
- Nearest tenth: Look at hundredths (7) → 7 ≥ 5 → round up → 5.9
- Nearest hundredth: Look at thousandths (3) → 3 < 5 → keep → 5.87
- Nearest thousandth: Look at ten-thousandths (9) → 9 ≥ 5 → round up → 5.874
2. 32.8047
- Nearest tenth: Look at hundredths (0) → 0 < 5 → keep → 32.8
- Nearest hundredth: Look at thousandths (4) → 4 < 5 → keep → 32.80
- Nearest thousandth: Look at ten-thousandths (7) → 7 ≥ 5 → round up → 32.805
3. 8.9034
- Nearest tenth: Look at hundredths (0) → 0 < 5 → keep → 8.9
- Nearest hundredth: Look at thousandths (3) → 3 < 5 → keep → 8.90
- Nearest thousandth: Look at ten-thousandths (4) → 4 < 5 → keep → 8.903
4. 76.7276
- Nearest tenth: Look at hundredths (2) → 2 < 5 → keep → 76.7
- Nearest hundredth: Look at thousandths (7) → 7 ≥ 5 → round up → 76.73
- Nearest thousandth: Look at ten-thousandths (6) → 6 ≥ 5 → round up → 76.728
5. 54.0231
- Nearest tenth: Look at hundredths (2) → 2 < 5 → keep → 54.0
- Nearest hundredth: Look at thousandths (3) → 3 < 5 → keep → 54.02
- Nearest thousandth: Look at ten-thousandths (1) → 1 < 5 → keep → 54.023
6. 1.9244
- Nearest tenth: Look at hundredths (2) → 2 < 5 → keep → 1.9
- Nearest hundredth: Look at thousandths (4) → 4 < 5 → keep → 1.92
- Nearest thousandth: Look at ten-thousandths (4) → 4 < 5 → keep → 1.924
7. 8.1233
- Nearest tenth: Look at hundredths (2) → 2 < 5 → keep → 8.1
- Nearest hundredth: Look at thousandths (3) → 3 < 5 → keep → 8.12
- Nearest thousandth: Look at ten-thousandths (3) → 3 < 5 → keep → 8.123
8. 712.7895
- Nearest tenth: Look at hundredths (8) → 8 ≥ 5 → round up → 712.8
- Nearest hundredth: Look at thousandths (9) → 9 ≥ 5 → round up → 712.79
- Nearest thousandth: Look at ten-thousandths (5) → 5 ≥ 5 → round up → 712.790
9. 689.2369
- Nearest tenth: Look at hundredths (3) → 3 < 5 → keep → 689.2
- Nearest hundredth: Look at thousandths (6) → 6 ≥ 5 → round up → 689.24
- Nearest thousandth: Look at ten-thousandths (9) → 9 ≥ 5 → round up → 689.237
10. 10.3565
- Nearest tenth: Look at hundredths (5) → 5 ≥ 5 → round up → 10.4
- Nearest hundredth: Look at thousandths (6) → 6 ≥ 5 → round up → 10.36
- Nearest thousandth: Look at ten-thousandths (5) → 5 ≥ 5 → round up → 10.357
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| Number | Nearest Tenth | Nearest Hundredth | Nearest Thousandth |
|------------|----------------|--------------------|---------------------|
| 5.8739 | 5.9 | 5.87 | 5.874 |
| 32.8047 | 32.8 | 32.80 | 32.805 |
| 8.9034 | 8.9 | 8.90 | 8.903 |
| 76.7276 | 76.7 | 76.73 | 76.728 |
| 54.0231 | 54.0 | 54.02 | 54.023 |
| 1.9244 | 1.9 | 1.92 | 1.924 |
| 8.1233 | 8.1 | 8.12 | 8.123 |
| 712.7895 | 712.8 | 712.79 | 712.790 |
| 689.2369 | 689.2 | 689.24 | 689.237 |
| 10.3565 | 10.4 | 10.36 | 10.357 |
✔ All values have been rounded correctly based on standard rounding rules.
Let me know if you'd like this formatted as a printable table!
Here’s how rounding works:
- Nearest tenth: Look at the hundredths place (2nd decimal). If it’s 5 or more, round up; otherwise, keep the tenths digit.
- Nearest hundredth: Look at the thousandths place (3rd decimal). If it’s 5 or more, round up; otherwise, keep the hundredths digit.
- Nearest thousandth: Look at the ten-thousandths place (4th decimal). If it’s 5 or more, round up; otherwise, keep the thousandths digit.
---
Given Numbers:
1. 5.8739
- Nearest tenth: Look at hundredths (7) → 7 ≥ 5 → round up → 5.9
- Nearest hundredth: Look at thousandths (3) → 3 < 5 → keep → 5.87
- Nearest thousandth: Look at ten-thousandths (9) → 9 ≥ 5 → round up → 5.874
2. 32.8047
- Nearest tenth: Look at hundredths (0) → 0 < 5 → keep → 32.8
- Nearest hundredth: Look at thousandths (4) → 4 < 5 → keep → 32.80
- Nearest thousandth: Look at ten-thousandths (7) → 7 ≥ 5 → round up → 32.805
3. 8.9034
- Nearest tenth: Look at hundredths (0) → 0 < 5 → keep → 8.9
- Nearest hundredth: Look at thousandths (3) → 3 < 5 → keep → 8.90
- Nearest thousandth: Look at ten-thousandths (4) → 4 < 5 → keep → 8.903
4. 76.7276
- Nearest tenth: Look at hundredths (2) → 2 < 5 → keep → 76.7
- Nearest hundredth: Look at thousandths (7) → 7 ≥ 5 → round up → 76.73
- Nearest thousandth: Look at ten-thousandths (6) → 6 ≥ 5 → round up → 76.728
5. 54.0231
- Nearest tenth: Look at hundredths (2) → 2 < 5 → keep → 54.0
- Nearest hundredth: Look at thousandths (3) → 3 < 5 → keep → 54.02
- Nearest thousandth: Look at ten-thousandths (1) → 1 < 5 → keep → 54.023
6. 1.9244
- Nearest tenth: Look at hundredths (2) → 2 < 5 → keep → 1.9
- Nearest hundredth: Look at thousandths (4) → 4 < 5 → keep → 1.92
- Nearest thousandth: Look at ten-thousandths (4) → 4 < 5 → keep → 1.924
7. 8.1233
- Nearest tenth: Look at hundredths (2) → 2 < 5 → keep → 8.1
- Nearest hundredth: Look at thousandths (3) → 3 < 5 → keep → 8.12
- Nearest thousandth: Look at ten-thousandths (3) → 3 < 5 → keep → 8.123
8. 712.7895
- Nearest tenth: Look at hundredths (8) → 8 ≥ 5 → round up → 712.8
- Nearest hundredth: Look at thousandths (9) → 9 ≥ 5 → round up → 712.79
- Nearest thousandth: Look at ten-thousandths (5) → 5 ≥ 5 → round up → 712.790
9. 689.2369
- Nearest tenth: Look at hundredths (3) → 3 < 5 → keep → 689.2
- Nearest hundredth: Look at thousandths (6) → 6 ≥ 5 → round up → 689.24
- Nearest thousandth: Look at ten-thousandths (9) → 9 ≥ 5 → round up → 689.237
10. 10.3565
- Nearest tenth: Look at hundredths (5) → 5 ≥ 5 → round up → 10.4
- Nearest hundredth: Look at thousandths (6) → 6 ≥ 5 → round up → 10.36
- Nearest thousandth: Look at ten-thousandths (5) → 5 ≥ 5 → round up → 10.357
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Final Answer Table:
| Number | Nearest Tenth | Nearest Hundredth | Nearest Thousandth |
|------------|----------------|--------------------|---------------------|
| 5.8739 | 5.9 | 5.87 | 5.874 |
| 32.8047 | 32.8 | 32.80 | 32.805 |
| 8.9034 | 8.9 | 8.90 | 8.903 |
| 76.7276 | 76.7 | 76.73 | 76.728 |
| 54.0231 | 54.0 | 54.02 | 54.023 |
| 1.9244 | 1.9 | 1.92 | 1.924 |
| 8.1233 | 8.1 | 8.12 | 8.123 |
| 712.7895 | 712.8 | 712.79 | 712.790 |
| 689.2369 | 689.2 | 689.24 | 689.237 |
| 10.3565 | 10.4 | 10.36 | 10.357 |
✔ All values have been rounded correctly based on standard rounding rules.
Let me know if you'd like this formatted as a printable table!
Parent Tip: Review the logic above to help your child master the concept of round whole numbers worksheets.