Certainly! Let's tackle this problem step-by-step.
### Step 1: Rounding Numbers to the Nearest Thousand
The first step is to round each of the actual numbers to the nearest thousand.
1. Number: 7081
- When rounding 7081, we look at the hundreds digit, which is 0. Since it is less than 5, we round down.
- Estimate: 7000
2. Number: 3165
- When rounding 3165, we look at the hundreds digit, which is 1. Since it is less than 5, we round down.
- Estimate: 3000
3. Number: 6552
- When rounding 6552, we look at the hundreds digit, which is 5. Since it is 5 or greater, we round up.
- Estimate: 7000
### Step 2: Summing the Actual Numbers
Next, we add up the actual numbers as they are, without rounding.
[tex]\[
7081 + 3165 + 6552 = 16798
\][/tex]
### Step 3: Summing the Estimated Numbers
Then, we add up the numbers we obtained from rounding.
[tex]\[
7000 + 3000 + 7000 = 17000
\][/tex]
### Summary
Now we summarize our findings in the table format:
\begin{tabular}{|l|l|l|}
\hline
Actual & [tex]$7081 + 3165 + 6552 = 16798$[/tex] & \\
\hline
Estimate & [tex]$7000 + 3000 + 7000 = 17000$[/tex] & \\
\hline
\end{tabular}
By following these steps, we accurately estimated the sum of the numbers by rounding and also provided the precise sum of the actual numbers.
