Estimating Products worksheet for rounding numbers to the nearest hundred and calculating approximate products.

Let's solve the "Estimating Products" worksheet step by step.

Instructions:

> Round each whole number to the nearest hundred, then estimate the product.

We'll go through each problem and:
1. Round the first number to the nearest hundred.
2. Round the second number to the nearest hundred.
3. Multiply the rounded numbers to get an estimated product.

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Step-by-step Solutions

#### 1. $ 273 \times 125 $
- $ 273 \rightarrow 300 $ (nearest hundred)
- $ 125 \rightarrow 100 $ (nearest hundred)
- Estimated product: $ 300 \times 100 = 30,000 $

✔ Answer: $ 300 \times 100 = 30,000 $

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#### 2. $ 321 \times 251 $
- $ 321 \rightarrow 300 $
- $ 251 \rightarrow 300 $
- $ 300 \times 300 = 90,000 $

✔ Answer: $ 300 \times 300 = 90,000 $

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#### 3. $ 471 \times 341 $
- $ 471 \rightarrow 500 $
- $ 341 \rightarrow 300 $
- $ 500 \times 300 = 150,000 $

✔ Answer: $ 500 \times 300 = 150,000 $

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#### 4. $ 361 \times 234 $
- $ 361 \rightarrow 400 $
- $ 234 \rightarrow 200 $
- $ 400 \times 200 = 80,000 $

✔ Answer: $ 400 \times 200 = 80,000 $

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#### 5. $ 261 \times 152 $
- $ 261 \rightarrow 300 $
- $ 152 \rightarrow 200 $
- $ 300 \times 200 = 60,000 $

✔ Answer: $ 300 \times 200 = 60,000 $

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#### 6. $ 471 \times 241 $
- $ 471 \rightarrow 500 $
- $ 241 \rightarrow 200 $
- $ 500 \times 200 = 100,000 $

✔ Answer: $ 500 \times 200 = 100,000 $

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#### 7. $ 223 \times 151 $
- $ 223 \rightarrow 200 $
- $ 151 \rightarrow 200 $
- $ 200 \times 200 = 40,000 $

✔ Answer: $ 200 \times 200 = 40,000 $

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#### 8. $ 361 \times 134 $
- $ 361 \rightarrow 400 $
- $ 134 \rightarrow 100 $
- $ 400 \times 100 = 40,000 $

✔ Answer: $ 400 \times 100 = 40,000 $

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#### 9. $ 386 \times 142 $
- $ 386 \rightarrow 400 $
- $ 142 \rightarrow 100 $
- $ 400 \times 100 = 40,000 $

✔ Answer: $ 400 \times 100 = 40,000 $

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#### 10. $ 512 \times 123 $
- $ 512 \rightarrow 500 $
- $ 123 \rightarrow 100 $
- $ 500 \times 100 = 50,000 $

✔ Answer: $ 500 \times 100 = 50,000 $

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#### 11. $ 561 \times 131 $
- $ 561 \rightarrow 600 $
- $ 131 \rightarrow 100 $
- $ 600 \times 100 = 60,000 $

✔ Answer: $ 600 \times 100 = 60,000 $

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#### 12. $ 562 \times 252 $
- $ 562 \rightarrow 600 $
- $ 252 \rightarrow 300 $
- $ 600 \times 300 = 180,000 $

✔ Answer: $ 600 \times 300 = 180,000 $

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#### 13. $ 361 \times 120 $
- $ 361 \rightarrow 400 $
- $ 120 \rightarrow 100 $
- $ 400 \times 100 = 40,000 $

✔ Answer: $ 400 \times 100 = 40,000 $

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#### 14. $ 451 \times 321 $
- $ 451 \rightarrow 500 $
- $ 321 \rightarrow 300 $
- $ 500 \times 300 = 150,000 $

✔ Answer: $ 500 \times 300 = 150,000 $

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#### 15. $ 321 \times 221 $
- $ 321 \rightarrow 300 $
- $ 221 \rightarrow 200 $
- $ 300 \times 200 = 60,000 $

✔ Answer: $ 300 \times 200 = 60,000 $

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✔ Final Answers (Filling in the blanks):

```
273 → 300
× 125 → × 100 → 30,000

321 → 300
× 251 → × 300 → 90,000

471 → 500
× 341 → × 300 → 150,000

361 → 400
× 234 → × 200 → 80,000

261 → 300
× 152 → × 200 → 60,000

471 → 500
× 241 → × 200 → 100,000

223 → 200
× 151 → × 200 → 40,000

361 → 400
× 134 → × 100 → 40,000

386 → 400
× 142 → × 100 → 40,000

512 → 500
× 123 → × 100 → 50,000

561 → 600
× 131 → × 100 → 60,000

562 → 600
× 252 → × 300 → 180,000

361 → 400
× 120 → × 100 → 40,000

451 → 500
× 321 → × 300 → 150,000

321 → 300
× 221 → × 200 → 60,000
```

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📝 Summary of Key Concept:

To estimate a product, we round each factor to the nearest hundred, then multiply the rounded numbers. This gives a quick approximation useful for checking reasonableness of exact calculations.

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