Rounding Numbers Rules and Examples - Free Printable

The image shows a worksheet titled "ROUND NUMBERS TO THE NEAREST HUNDREDTH" from *Sciencenotes.org*. The task is to round each given decimal number to the nearest hundredth (i.e., two decimal places). Let's go through the process and verify the answers.

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🔍 Rounding Rules Recap:

To round to the nearest hundredth (two decimal places):
1. Look at the thousandths place (the third digit after the decimal).
2. If it’s 5 or greater, round up the hundredths place by 1.
3. If it’s less than 5, keep the hundredths place unchanged.
4. Add zeros if needed to maintain the correct number of decimal places.

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Now, let's evaluate each problem:

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#### ✔ Left Column:
1. 2.5163
- Hundredths: 1, Thousandths: 6 → 6 ≥ 5 → Round up
- 2.51 + 0.01 = 2.52 → 2.5200 ✔️

2. 3.3337
- Hundredths: 3, Thousandths: 3 → 3 < 5 → Keep as is
- 3.3300 ✔️

3. 2.6383
- Hundredths: 3, Thousandths: 8 → 8 ≥ 5 → Round up
- 2.63 + 0.01 = 2.64 → 2.6400 ✔️

4. 15.7289
- Hundredths: 2, Thousandths: 8 → 8 ≥ 5 → Round up
- 15.72 + 0.01 = 15.73 → 15.7300 ✔️

5. 23.6580
- Hundredths: 5, Thousandths: 8 → 8 ≥ 5 → Round up
- 23.65 + 0.01 = 23.66 → 23.6600 ✔️

6. 11.6894
- Hundredths: 8, Thousandths: 9 → 9 ≥ 5 → Round up
- 11.68 + 0.01 = 11.69 → 11.6900 ✔️

7. 16.9957
- Hundredths: 9, Thousandths: 5 → 5 ≥ 5 → Round up
- 16.99 + 0.01 = 17.00 → 17.0000 ✔️
*(Note: Rounding 16.9957 → 17.00 because 9+1 causes carry-over)*

8. 6.3748
- Hundredths: 7, Thousandths: 4 → 4 < 5 → Keep as is
- 6.3700 ✔️

9. 41.3707
- Hundredths: 7, Thousandths: 0 → 0 < 5 → Keep as is
- 41.3700 ✔️

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#### ✔ Right Column:
1. 116.0616
- Hundredths: 6, Thousandths: 1 → 1 < 5 → Keep as is
- 116.0600 ✔️

2. 351.6105
- Hundredths: 1, Thousandths: 0 → 0 < 5 → Keep as is
- 351.6100 ✔️

3. 4.0053
- Hundredths: 0, Thousandths: 5 → 5 ≥ 5 → Round up
- 4.00 + 0.01 = 4.01 → 4.0100 ✔️

4. 19.1044
- Hundredths: 0, Thousandths: 4 → 4 < 5 → Keep as is
- 19.1000 ✔️

5. 72.0361
- Hundredths: 3, Thousandths: 6 → 6 ≥ 5 → Round up
- 72.03 + 0.01 = 72.04 → 72.0400 ✔️

6. 585.2740
- Hundredths: 7, Thousandths: 4 → 4 < 5 → Keep as is
- 585.2700 ✔️

7. 1.0099
- Hundredths: 0, Thousandths: 9 → 9 ≥ 5 → Round up
- 1.00 + 0.01 = 1.01 → 1.0100 ✔️

8. 15.0654
- Hundredths: 6, Thousandths: 5 → 5 ≥ 5 → Round up
- 15.06 + 0.01 = 15.07 → 15.0700 ✔️

9. 9.9999
- Hundredths: 9, Thousandths: 9 → 9 ≥ 5 → Round up
- 9.99 + 0.01 = 10.00 → 10.0000 ✔️
*(Note: This rounds up to 10.00 due to carry-over)*

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✔ Final Answer Summary:

All the provided answers on the worksheet are correct.

| Original Number | Rounded to Nearest Hundredth |
|------------------|-------------------------------|
| 2.5163 | 2.5200 |
| 3.3337 | 3.3300 |
| 2.6383 | 2.6400 |
| 15.7289 | 15.7300 |
| 23.6580 | 23.6600 |
| 11.6894 | 11.6900 |
| 16.9957 | 17.0000 |
| 6.3748 | 6.3700 |
| 41.3707 | 41.3700 |
| 116.0616 | 116.0600 |
| 351.6105 | 351.6100 |
| 4.0053 | 4.0100 |
| 19.1044 | 19.1000 |
| 72.0361 | 72.0400 |
| 585.2740 | 585.2700 |
| 1.0099 | 1.0100 |
| 15.0654 | 15.0700 |
| 9.9999 | 10.0000 |

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🟩 Conclusion:

✔ All answers are correctly rounded to the nearest hundredth using standard rounding rules.
This worksheet effectively practices rounding decimals with attention to place value and carry-over logic.