Question
\begin{tabular}{lrr} Estimate the answers by rounding to the nearest & 3230 \\ thousand. \\ \( \begin{array}{l}1085 \\ 7250 \\ +1419\end{array} \) \\ \hline An estimate for the sum is \( \square \).\end{tabular}
Ask by Chan Love. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
An estimate for the sum is 9000.
Solution
To estimate the sum of the numbers \(1085\), \(7250\), and \(1419\) by rounding to the nearest thousand, we will follow these steps:
1. **Round each number to the nearest thousand:**
- \(1085\) rounds to \(1000\) (since it is closer to \(1000\) than to \(2000\)).
- \(7250\) rounds to \(7000\) (since it is closer to \(7000\) than to \(8000\)).
- \(1419\) rounds to \(1000\) (since it is closer to \(1000\) than to \(2000\)).
2. **Add the rounded numbers:**
- Now we will add the rounded values:
\[
1000 + 7000 + 1000
\]
3. **Calculate the sum:**
- Performing the addition:
\[
1000 + 7000 = 8000
\]
\[
8000 + 1000 = 9000
\]
Thus, the estimated sum is \(9000\).
Therefore, the final answer is:
\[
\text{An estimate for the sum is } 9000.
\]
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Simplify this solution Bonus Knowledge
To estimate the sum by rounding to the nearest thousand, we round each number as follows: 1085 rounds to 1000, 7250 rounds to 7000, and 1419 rounds to 1000. Now, we can add these rounded numbers: 1000 + 7000 + 1000 = 9000. So, an estimate for the sum is \( \text{9000} \).
