Let's solve the given problem step-by-step.
1. Round the Numbers:
- First, we round the given numbers, 347 and 589, to the nearest ten.
- 347 rounded to the nearest ten is 350.
- 589 rounded to the nearest ten is 590.
2. Estimate the Sum:
- Using the rounded numbers, the estimated sum is:
[tex]\[
350 + 590 = 940
\][/tex]
3. Calculate the Actual Sum:
- Using a calculator, we add the actual numbers:
[tex]\[
347 + 589 = 936
\][/tex]
4. Compare the Estimate to the Actual Sum:
- The estimated sum is 940, and the actual sum is 936.
- To determine how reasonable the estimate is, we calculate the difference between the estimated sum and the actual sum:
[tex]\[
940 - 936 = 4
\][/tex]
- This difference is relatively small, which suggests that the estimation is quite close to the actual value.
5. Assessment of Reasonableness:
- Analyzing the estimate, we can see that the estimate (940) is a little higher than the actual sum (936).
- Hence, the estimate is reasonable but slightly higher than the actual sum.
The correct option is:
C. Reasonable. The estimate seems a little higher compared to the actual answer.
