Rounding large numbers - Number and Place Value by URBrainy.com - Free Printable

Let's solve each rounding problem step by step. We will round the given numbers to the nearest 10,000, 1,000, and 100.

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🔷 Rule for Rounding:

- Look at the digit to the right of the place you're rounding to.
- If it is 5 or more, round up.
- If it is less than 5, round down.

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✔ Problem 1: Round 146,743

- To the nearest 10,000:
Look at the thousands digit (6). Since 6 ≥ 5, round up.
146,743 → 150,000

- To the nearest 1,000:
Look at the hundreds digit (7). Since 7 ≥ 5, round up.
146,743 → 147,000

- To the nearest 100:
Look at the tens digit (4). Since 4 < 5, round down.
146,743 → 146,700

✔ Answers: 150,000, 147,000, 146,700

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✔ Problem 2: Round 257,431

- To the nearest 10,000:
Thousands digit is 7 → 7 ≥ 5 → round up
257,431 → 260,000

- To the nearest 1,000:
Hundreds digit is 4 → 4 < 5 → round down
257,431 → 257,000

- To the nearest 100:
Tens digit is 3 → 3 < 5 → round down
257,431 → 257,400

✔ Answers: 260,000, 257,000, 257,400

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✔ Problem 3: Round 324,689

- To the nearest 10,000:
Thousands digit is 4 → 4 < 5 → round down
324,689 → 320,000

- To the nearest 1,000:
Hundreds digit is 6 → 6 ≥ 5 → round up
324,689 → 325,000

- To the nearest 100:
Tens digit is 8 → 8 ≥ 5 → round up
324,689 → 324,700

✔ Answers: 320,000, 325,000, 324,700

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✔ Problem 4: Round 288,410

- To the nearest 10,000:
Thousands digit is 8 → 8 ≥ 5 → round up
288,410 → 290,000

- To the nearest 1,000:
Hundreds digit is 4 → 4 < 5 → round down
288,410 → 288,000

- To the nearest 100:
Tens digit is 1 → 1 < 5 → round down
288,410 → 288,400

✔ Answers: 290,000, 288,000, 288,400

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✔ Problem 5: Round 408,077

- To the nearest 10,000:
Thousands digit is 8 → 8 ≥ 5 → round up
408,077 → 410,000

- To the nearest 1,000:
Hundreds digit is 0 → 0 < 5 → round down
408,077 → 408,000

- To the nearest 100:
Tens digit is 7 → 7 ≥ 5 → round up
408,077 → 408,100

✔ Answers: 410,000, 408,000, 408,100

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✔ Problem 6: Round 213,789

- To the nearest 10,000:
Thousands digit is 3 → 3 < 5 → round down
213,789 → 210,000

- To the nearest 1,000:
Hundreds digit is 7 → 7 ≥ 5 → round up
213,789 → 214,000

- To the nearest 100:
Tens digit is 8 → 8 ≥ 5 → round up
213,789 → 213,800

✔ Answers: 210,000, 214,000, 213,800

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📝 Final Answer Summary:

| Number | Nearest 10,000 | Nearest 1,000 | Nearest 100 |
|------------|----------------|---------------|-------------|
| 146,743 | 150,000 | 147,000 | 146,700 |
| 257,431 | 260,000 | 257,000 | 257,400 |
| 324,689 | 320,000 | 325,000 | 324,700 |
| 288,410 | 290,000 | 288,000 | 288,400 |
| 408,077 | 410,000 | 408,000 | 408,100 |
| 213,789 | 210,000 | 214,000 | 213,800 |

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