Rounding Numbers Rules and Examples - Free Printable

Let's solve the problem of rounding numbers to the nearest tenth and check each answer step by step.

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🔍 What does "round to the nearest tenth" mean?

- The tenth is the first digit after the decimal point.
- To round to the nearest tenth, look at the hundredth place (the second digit after the decimal).
- If the hundredth digit is 5 or greater, round up the tenth digit.
- If it's less than 5, keep the tenth digit the same.
- Then, write the number with only one digit after the decimal.

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Now let’s go through each problem:

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✔ Left Column:

1. 2.516
- Tenth: 5
- Hundredth: 1 → less than 5 → keep 5
- Answer: 2.5
✘ But written as 2.500 — this is correct but over-precise. Rounded to the nearest tenth should be 2.5, not 2.500.
✔️ However, since it says "round to the nearest tenth", writing 2.500 implies three decimals, which is unnecessary. But if we interpret it as rounding to one decimal place and then padding, it's acceptable in some contexts.

→ Correct rounded value: 2.5

2. 3.333
- Tenth: 3
- Hundredth: 3 → less than 5 → keep 3
- Answer: 3.3 → given as 3.300 → again, over-padded but numerically correct

3. 2.638
- Tenth: 6
- Hundredth: 3 → less than 5 → keep 6
- Answer: 2.6 → given as 2.600 → okay

4. 15.728
- Tenth: 7
- Hundredth: 2 → less than 5 → keep 7
- Answer: 15.7 → given as 15.700 → okay

5. 23.658
- Tenth: 6
- Hundredth: 5 → equal to 5 → round up → 6 becomes 7
- Answer: 23.7 → given as 23.700 → correct

6. 11.689
- Tenth: 6
- Hundredth: 8 → ≥5 → round up → 6 → 7
- Answer: 11.7 → given as 11.700 → correct

7. 16.975
- Tenth: 9
- Hundredth: 7 → ≥5 → round up → 9 + 1 = 10 → carry over
- So 16.9 → becomes 17.0
- Answer: 17.0 → given as 17.000 → correct

8. 6.274
- Tenth: 2
- Hundredth: 7 → ≥5 → round up → 2 → 3
- Answer: 6.3 → given as 6.300 → correct

9. 41.270
- Tenth: 2
- Hundredth: 7 → ≥5 → round up → 2 → 3
- Answer: 41.3 → given as 41.300 → correct

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✔ Right Column:

10. 116.061
- Tenth: 0
- Hundredth: 6 → ≥5 → round up → 0 → 1
- Answer: 116.1 → given as 116.100 → correct

11. 351.610
- Tenth: 6
- Hundredth: 1 → <5 → keep 6
- Answer: 351.6 → given as 351.600 → correct

12. 4.005
- Tenth: 0
- Hundredth: 0 → <5 → keep 0
- Answer: 4.0 → given as 4.000 → correct

13. 19.104
- Tenth: 1
- Hundredth: 0 → <5 → keep 1
- Answer: 19.1 → given as 19.100 → correct

14. 72.036
- Tenth: 0
- Hundredth: 3 → <5 → keep 0
- Answer: 72.0 → given as 72.000 → correct

15. 585.274
- Tenth: 2
- Hundredth: 7 → ≥5 → round up → 2 → 3
- Answer: 585.3 → given as 586.300 → ✘ Incorrect!

⚠️ This is a mistake:
- 585.274 → tenth is 2, hundredth is 7 → round up to 585.3, not 586.3
- So 586.300 is wrong.

16. 1.009
- Tenth: 0
- Hundredth: 0 → <5 → keep 0
- Answer: 1.0 → given as 1.000 → correct

17. 15.065
- Tenth: 0
- Hundredth: 6 → ≥5 → round up → 0 → 1
- Answer: 15.1 → given as 15.100 → correct

18. 9.999
- Tenth: 9
- Hundredth: 9 → ≥5 → round up → 9 + 1 = 10 → carry over
- 9.9 → becomes 10.0
- Answer: 10.0 → given as 10.000 → correct

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✔ Summary of Errors:

Only one error:

- 585.274 → 586.300 ✘
- Correct answer: 585.300

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✔ Final Answers (Corrected):

| Original | Rounded to Nearest Tenth |
|--------|--------------------------|
| 2.516 | 2.5 |
| 3.333 | 3.3 |
| 2.638 | 2.6 |
| 15.728 | 15.7 |
| 23.658 | 23.7 |
| 11.689 | 11.7 |
| 16.975 | 17.0 |
| 6.274 | 6.3 |
| 41.270 | 41.3 |
| 116.061 | 116.1 |
| 351.610 | 351.6 |
| 4.005 | 4.0 |
| 19.104 | 19.1 |
| 72.036 | 72.0 |
| 585.274 | 585.3 ✔ (not 586.3) |
| 1.009 | 1.0 |
| 15.065 | 15.1 |
| 9.999 | 10.0 |

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🟩 Conclusion:

✔ All answers are correct except one:
- 585.274 = 586.300 is incorrect.
- It should be 585.300

> 🛠️ Fix: Change 586.300 → 585.300

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Let me know if you'd like a printable version or explanation for any specific number!