Question
\( \approx \) Question Completion Status: \( \rightarrow \Delta \) Moving to another question will save this response. Question 12 \( \begin{array}{l}\text { Estimate by rounding to the nearest hundred. } \\ 524+999+875+699+350\end{array} \)
Ask by Nguyen Bernard. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The estimated sum is 3500.
Solution
To estimate the sum by rounding each number to the nearest hundred, follow these steps:
1. **Round Each Number:**
- **524:**
- Nearest hundred: **500**
- Explanation: 524 is closer to 500 than to 600.
- **999:**
- Nearest hundred: **1000**
- Explanation: 999 is closer to 1000 than to 900.
- **875:**
- Nearest hundred: **900**
- Explanation: 875 is closer to 900 than to 800.
- **699:**
- Nearest hundred: **700**
- Explanation: 699 is closer to 700 than to 600.
- **350:**
- Nearest hundred: **400**
- Explanation: 350 is exactly halfway between 300 and 400. By standard rounding rules, it rounds up to 400.
2. **Add the Rounded Numbers:**
\[
500 + 1000 + 900 + 700 + 400 = 3500
\]
**Estimated Sum:** **3500**
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Simplify this solution Beyond the Answer
To estimate the sum of the numbers by rounding to the nearest hundred, you can round each number like this: 524 rounds to 500, 999 rounds to 1000, 875 rounds to 900, 699 rounds to 700, and 350 rounds to 400. Now adding these rounded numbers together gives you: 500 + 1000 + 900 + 700 + 400 = 3500. To make estimation even easier, check whether the numbers are closer to the lower or upper hundred! When you round up 524, that's because it's 24 away from 500 but only 76 from 600. Always keep in mind the distance to the next hundred when rounding, and happy calculating!
