Year 6 Numeracy worksheet focusing on rounding numbers to the nearest 10, 100, and 1000.

Let's solve the rounding problem step by step. We are asked to round each number to the nearest 10, nearest 100, and nearest 1000.

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🔹 Rules for Rounding:

- To nearest 10: Look at the ones digit (units). If it's 5 or more, round up; otherwise, round down.
- To nearest 100: Look at the tens digit. If it's 5 or more, round up; otherwise, round down.
- To nearest 1000: Look at the hundreds digit. If it's 5 or more, round up; otherwise, round down.

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Now, let’s go through each number:

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1) 642

- Nearest 10: Look at ones digit = 2 → less than 5 → round down → 640
- Nearest 100: Look at tens digit = 4 → less than 5 → round down → 600
- Nearest 1000: Look at hundreds digit = 6 → 6 ≥ 5 → round up → 1000

✔ 640, 600, 1000

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2) 487

- Nearest 10: Ones digit = 7 → ≥5 → round up → 490
- Nearest 100: Tens digit = 8 → ≥5 → round up → 500
- Nearest 1000: Hundreds digit = 4 → <5 → round down → 0 (but 487 is closer to 0 than 1000? Wait — actually, 487 is between 0 and 1000. Since 4 < 5, we round down → 0? But wait, no! We’re rounding to the nearest 1000, so:
- 487 is between 0 and 1000 → since 487 < 500 → round down → 0?

Wait! Actually, when rounding to nearest 1000:
- Numbers from 0–499 → round to 0
- 500–1499 → round to 1000

So 487 < 500 → 0

But in practice, sometimes people write "0" as "0", but technically, it's correct.

✔ 490, 500, 0

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3) 1242

- Nearest 10: Ones = 2 → <5 → 1240
- Nearest 100: Tens = 4 → <5 → 1200
- Nearest 1000: Hundreds = 2 → <5 → 1000

✔ 1240, 1200, 1000

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4) 2587

- Nearest 10: Ones = 7 → ≥5 → 2590
- Nearest 100: Tens = 8 → ≥5 → 2600
- Nearest 1000: Hundreds = 5 → ≥5 → 3000

✔ 2590, 2600, 3000

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5) 8031

- Nearest 10: Ones = 1 → <5 → 8030
- Nearest 100: Tens = 3 → <5 → 8000
- Nearest 1000: Hundreds = 0 → <5 → 8000

✔ 8030, 8000, 8000

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6) 7168

- Nearest 10: Ones = 8 → ≥5 → 7170
- Nearest 100: Tens = 6 → ≥5 → 7200
- Nearest 1000: Hundreds = 1 → <5 → 7000

✔ 7170, 7200, 7000

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7) 5734

- Nearest 10: Ones = 4 → <5 → 5730
- Nearest 100: Tens = 3 → <5 → 5700
- Nearest 1000: Hundreds = 7 → ≥5 → 6000

✔ 5730, 5700, 6000

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8) 9500

- Nearest 10: Ones = 0 → <5 → 9500
- Nearest 100: Tens = 0 → <5 → 9500
- Nearest 1000: Hundreds = 5 → ≥5 → 10000

✔ 9500, 9500, 10000

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9) 6235

- Nearest 10: Ones = 5 → ≥5 → 6240
- Nearest 100: Tens = 3 → <5 → 6200
- Nearest 1000: Hundreds = 2 → <5 → 6000

✔ 6240, 6200, 6000

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10) 67258

- Nearest 10: Ones = 8 → ≥5 → 67260
- Nearest 100: Tens = 5 → ≥5 → 67300
- Nearest 1000: Hundreds = 2 → <5 → 67000

✔ 67260, 67300, 67000

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11) 7650

- Nearest 10: Ones = 0 → <5 → 7650
- Nearest 100: Tens = 5 → ≥5 → 7700
- Nearest 1000: Hundreds = 6 → ≥5 → 8000

✔ 7650, 7700, 8000

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12) 6265

- Nearest 10: Ones = 5 → ≥5 → 6270
- Nearest 100: Tens = 6 → ≥5 → 6300
- Nearest 1000: Hundreds = 2 → <5 → 6000

✔ 6270, 6300, 6000

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✔ Final Answers:

| Number | Nearest 10 | Nearest 100 | Nearest 1000 |
|--------|------------|-------------|--------------|
| 1) 642 | 640 | 600 | 1000 |
| 2) 487 | 490 | 500 | 0 |
| 3) 1242| 1240 | 1200 | 1000 |
| 4) 2587| 2590 | 2600 | 3000 |
| 5) 8031| 8030 | 8000 | 8000 |
| 6) 7168| 7170 | 7200 | 7000 |
| 7) 5734| 5730 | 5700 | 6000 |
| 8) 9500| 9500 | 9500 | 10000 |
| 9) 6235| 6240 | 6200 | 6000 |
|10) 67258| 67260 | 67300 | 67000 |
|11) 7650| 7650 | 7700 | 8000 |
|12) 6265| 6270 | 6300 | 6000 |

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📝 Notes:

- For 487 → nearest 1000: 487 is less than 500, so it rounds down to 0 (since 0 is the nearest thousand).
- Some students might write "0" as "0", which is acceptable.

Let me know if you'd like this formatted as a printable answer sheet!