Round off Decimal Numbers - Math Worksheets - SplashLearn - Free Printable

Let's solve the rounding problems step by step and explain the rules used.

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🔹 Rounding Rules:

- To the nearest whole number: Look at the tenths place (first digit after decimal).
- If it’s 5 or more, round up.
- If it’s less than 5, round down.

- To the nearest tenth: Look at the hundredths place (second digit after decimal).
- If it’s 5 or more, round up the tenths digit.
- If it’s less than 5, keep the tenths digit as is (round down).

- To the nearest hundredth: Look at the thousandths place (third digit after decimal).
- If it’s 5 or more, round up the hundredths digit.
- If it’s less than 5, keep the hundredths digit as is (round down).

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## ✔ Part 1: Round off to the whole number

| Number | Rounded | Round Up? | Round Down? |
|--------|--------|-----------|-------------|
| 8.02 → | 8 | ✘ | ✔ |
| 62.783 → | 63 | ✔ | ✘ |
| 31.490 → | 31 | ✘ | ✔ |
| 96.567 → | 97 | ✔ | ✘ |

Explanation:

- 8.02: Tenths digit = 0 < 5 → Round down → 8
- 62.783: Tenths digit = 7 ≥ 5 → Round up → 63
- 31.490: Tenths digit = 4 < 5 → Round down → 31
- 96.567: Tenths digit = 5 ≥ 5 → Round up → 97

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## ✔ Part 2: Round off to the nearest tenth

| Number | Rounded | Round Up? | Round Down? |
|--------|--------|-----------|-------------|
| 613.03 → | 613.0 | ✘ | ✔ |
| 7.92 → | 7.9 | ✘ | ✔ |
| 18.462 → | 18.5 | ✔ | ✘ |
| 45.819 → | 45.8 | ✘ | ✔ |

Explanation:

- 613.03: Hundredths digit = 3 < 5 → Keep tenths (0) → 613.0
- 7.92: Hundredths digit = 2 < 5 → Keep tenths (9) → 7.9
- 18.462: Hundredths digit = 6 ≥ 5 → Round up tenths from 4 to 5 → 18.5
- 45.819: Hundredths digit = 1 < 5 → Keep tenths (8) → 45.8

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## ✔ Part 3: Round off to the nearest hundredth

| Number | Rounded | Round Up? | Round Down? |
|--------|--------|-----------|-------------|
| 0.999 → | 1.00 | ✔ | ✘ |
| 3.781 → | 3.78 | ✘ | ✔ |
| 51.243 → | 51.24 | ✘ | ✔ |
| 86.136 → | 86.14 | ✔ | ✘ |

Explanation:

- 0.999: Thousandths digit = 9 ≥ 5 → Round up hundredths from 9 to 10 → carry over → 1.00
- 3.781: Thousandths digit = 1 < 5 → Keep hundredths (8) → 3.78
- 51.243: Thousandths digit = 3 < 5 → Keep hundredths (4) → 51.24
- 86.136: Thousandths digit = 6 ≥ 5 → Round up hundredths from 3 to 4 → 86.14

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✔ Final Answers:

#### Round off to the whole number
- 8.02 → 8 → Round Down
- 62.783 → 63 → Round Up
- 31.490 → 31 → Round Down
- 96.567 → 97 → Round Up

#### Round off to the nearest tenth
- 613.03 → 613.0 → Round Down
- 7.92 → 7.9 → Round Down
- 18.462 → 18.5 → Round Up
- 45.819 → 45.8 → Round Down

#### Round off to the nearest hundredth
- 0.999 → 1.00 → Round Up
- 3.781 → 3.78 → Round Down
- 51.243 → 51.24 → Round Down
- 86.136 → 86.14 → Round Up

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