Question: Obtain an estimate for the following computation by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head. Then, use a calculator to perform the computation. How reasonable is your estimate when compared to the actual answer?
339plus598
Part 1 of 3
Round the two numbers to the nearest ten. An estimate of the sum is
enter your response here
.
Part 2 of 3
The actual sum is
enter your response here
.
Part 3 of 3
How reasonable is your estimate when compared to the actual answer?
A.
Not reasonable. The estimate seems too low compared to the actual answer.
B.
Reasonable. The estimate seems a little lower compared to the actual answer.
C.
Reasonable. The estimate seems a little higher compared to the actual answer.
D.
Not reasonable. The estimate seems too high compared to the actual answer.
1. **State the problem:** We want to estimate the sum of $339 + 598$ by rounding each number to the nearest ten, then calculate the exact sum and compare the estimate to the actual answer.
2. **Rounding to the nearest ten:**
- $339$ rounds to $340$ because the units digit $9$ is closer to $10$ than $0$.
- $598$ rounds to $600$ because the units digit $8$ is closer to $10$ than $0$.
3. **Estimate the sum:**
$$340 + 600 = 940$$
4. **Calculate the actual sum:**
$$339 + 598 = 937$$
5. **Compare the estimate to the actual sum:**
- The estimate is $940$.
- The actual sum is $937$.
- The estimate is slightly higher than the actual sum by $3$.
6. **Conclusion:**
The estimate is reasonable and slightly higher than the actual answer.
**Final answers:**
- Estimate: $940$
- Actual sum: $937$
- Reasonableness: C. Reasonable. The estimate seems a little higher compared to the actual answer.