Free Rounding Decimals Worksheets for Kids [PDFs] Brighterly - Free Printable

Let's solve the "Rounding Decimals" worksheet step by step.

We are asked to round each number to the nearest tenth, hundredth, and thousandth.

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🔍 Rounding Rules:

- Tenth: Look at the hundredths place (2nd digit after decimal).
- If it's 5 or more, round up.
- If it's less than 5, keep the tenths digit same.
- Hundredth: Look at the thousandths place (3rd digit after decimal).
- If it's 5 or more, round up.
- Otherwise, keep the hundredths digit same.
- Thousandth: Look at the ten-thousandths place (4th digit after decimal).
- Same rule: if ≥5, round up; else, keep as is.

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Now let’s go through each number:

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#### 1. 65.8123
- Nearest tenth:
- Tenths = 8, Hundredths = 1 → 1 < 5 → 65.8
- Nearest hundredth:
- Hundredths = 1, Thousandths = 2 → 2 < 5 → 65.81
- Nearest thousandth:
- Thousandths = 2, Ten-thousandths = 3 → 3 < 5 → 65.812

✔ Already filled in correctly!

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#### 2. 4.0563
- Nearest tenth:
- Tenths = 0, Hundredths = 5 → 5 ≥ 5 → round up 0 to 1 → 4.1
- Nearest hundredth:
- Hundredths = 5, Thousandths = 6 → 6 ≥ 5 → round up 5 to 6 → 4.06
- Nearest thousandth:
- Thousandths = 6, Ten-thousandths = 3 → 3 < 5 → 4.056

✔ Answers: 4.1, 4.06, 4.056

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#### 3. 15.9231
- Nearest tenth:
- Tenths = 9, Hundredths = 2 → 2 < 5 → 15.9
- Nearest hundredth:
- Hundredths = 2, Thousandths = 3 → 3 < 5 → 15.92
- Nearest thousandth:
- Thousandths = 3, Ten-thousandths = 1 → 1 < 5 → 15.923

✔ Answers: 15.9, 15.92, 15.923

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#### 4. 700.4778
- Nearest tenth:
- Tenths = 4, Hundredths = 7 → 7 ≥ 5 → round up 4 to 5 → 700.5
- Nearest hundredth:
- Hundredths = 7, Thousandths = 7 → 7 ≥ 5 → round up 7 to 8 → 700.48
- Nearest thousandth:
- Thousandths = 7, Ten-thousandths = 8 → 8 ≥ 5 → round up 7 to 8 → 700.478

✔ Answers: 700.5, 700.48, 700.478

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#### 5. 8.5467
- Nearest tenth:
- Tenths = 5, Hundredths = 4 → 4 < 5 → 8.5
- Nearest hundredth:
- Hundredths = 4, Thousandths = 6 → 6 ≥ 5 → round up 4 to 5 → 8.55
- Nearest thousandth:
- Thousandths = 6, Ten-thousandths = 7 → 7 ≥ 5 → round up 6 to 7 → 8.547

✔ Answers: 8.5, 8.55, 8.547

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#### 6. 633.9800
- Nearest tenth:
- Tenths = 9, Hundredths = 8 → 8 ≥ 5 → round up 9 → but 9+1=10 → carry over → 634.0
- Nearest hundredth:
- Hundredths = 8, Thousandths = 0 → 0 < 5 → 633.98
- Nearest thousandth:
- Thousandths = 0, Ten-thousandths = 0 → 0 < 5 → 633.980

✔ Answers: 634.0, 633.98, 633.980

> Note: 633.9800 → rounding to nearest tenth: 633.98 → look at hundredths (8) → round up → 634.0

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#### 7. 51.7693
- Nearest tenth:
- Tenths = 7, Hundredths = 6 → 6 ≥ 5 → round up → 51.8
- Nearest hundredth:
- Hundredths = 6, Thousandths = 9 → 9 ≥ 5 → round up 6 to 7 → 51.77
- Nearest thousandth:
- Thousandths = 9, Ten-thousandths = 3 → 3 < 5 → 51.769

✔ Answers: 51.8, 51.77, 51.769

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#### 8. 39.0765
- Nearest tenth:
- Tenths = 0, Hundredths = 7 → 7 ≥ 5 → round up 0 to 1 → 39.1
- Nearest hundredth:
- Hundredths = 7, Thousandths = 6 → 6 ≥ 5 → round up 7 to 8 → 39.08
- Nearest thousandth:
- Thousandths = 6, Ten-thousandths = 5 → 5 ≥ 5 → round up 6 to 7 → 39.077

✔ Answers: 39.1, 39.08, 39.077

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#### 9. 89.0329
- Nearest tenth:
- Tenths = 0, Hundredths = 3 → 3 < 5 → 89.0
- Nearest hundredth:
- Hundredths = 3, Thousandths = 2 → 2 < 5 → 89.03
- Nearest thousandth:
- Thousandths = 2, Ten-thousandths = 9 → 9 ≥ 5 → round up 2 to 3 → 89.033

✔ Answers: 89.0, 89.03, 89.033

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#### 10. 101.2366
- Nearest tenth:
- Tenths = 2, Hundredths = 3 → 3 < 5 → 101.2
- Nearest hundredth:
- Hundredths = 3, Thousandths = 6 → 6 ≥ 5 → round up 3 to 4 → 101.24
- Nearest thousandth:
- Thousandths = 6, Ten-thousandths = 6 → 6 ≥ 5 → round up 6 to 7 → 101.237

✔ Answers: 101.2, 101.24, 101.237

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✔ Final Answer Table:

| Number | Nearest tenth | Nearest hundredth | Nearest thousandth |
|------------|----------------|--------------------|---------------------|
| 65.8123 | 65.8 | 65.81 | 65.812 |
| 4.0563 | 4.1 | 4.06 | 4.056 |
| 15.9231 | 15.9 | 15.92 | 15.923 |
| 700.4778 | 700.5 | 700.48 | 700.478 |
| 8.5467 | 8.5 | 8.55 | 8.547 |
| 633.9800 | 634.0 | 633.98 | 633.980 |
| 51.7693 | 51.8 | 51.77 | 51.769 |
| 39.0765 | 39.1 | 39.08 | 39.077 |
| 89.0329 | 89.0 | 89.03 | 89.033 |
| 101.2366 | 101.2 | 101.24 | 101.237 |

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