Question: Estimate the sum by rounding each number to the nearest hundred.
6281
3141
+ 4065
The estimated sum is □.
1. **State the problem:** We need to estimate the sum of $6281$, $3141$, and $4065$ by rounding each number to the nearest hundred.
2. **Rounding rule:** To round to the nearest hundred, look at the tens digit:
- If it is 5 or more, round up.
- If it is less than 5, round down.
3. **Round each number:**
- $6281$: The tens digit is $8$ (which is $\geq 5$), so round up to $6300$.
- $3141$: The tens digit is $4$ (which is $< 5$), so round down to $3100$.
- $4065$: The tens digit is $6$ (which is $\geq 5$), so round up to $4100$.
4. **Add the rounded numbers:**
$$6300 + 3100 + 4100 = 13500$$
5. **Final answer:** The estimated sum by rounding each number to the nearest hundred is **$13500$**.