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The question asks to estimate \( 2345 \div 49 \) by first rounding.

### Step-by-step process:
1. **Round the numbers**:
   - 2345 rounds to 2300 (to the nearest hundred).
   - 49 rounds to 50 (to the nearest ten).

2. **Perform the division**:
   \[
   \frac{2300}{50} = 46
   \]

Thus, the estimated result is **46**.

Would you like more details on the process, or do you have any other questions?

Here are five related questions:
1. What happens if we round 2345 to the nearest ten instead of hundred?
2. How does the estimate compare with the exact value of \( 2345 \div 49 \)?
3. What would be the result if we rounded both numbers up instead of to the nearest value?
4. How can rounding in both directions (up/down) affect estimates?
5. How would you estimate this division if only mental math was allowed?

**Tip**: When estimating, rounding both numbers to convenient multiples often simplifies division without sacrificing much accuracy.

Learn how to estimate the division of 2345 by 49 using rounding. This solution simplifies complex division by rounding numbers to their nearest values for easy computation. Suitable for students in Grades 5-7.

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