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Chapter 1: Problem 7

a. Estimate: \(28,800 \div 314\) b. Find the exact answer. c. Is your estimate lower, higher, or the same?

Short Answer

Expert verified
Answer: The estimate is higher than the exact answer.

Step by step solution

01

Estimation

First, let's round the numbers to make them easier to work with. Round \(28,800\) to the nearest thousand, and round \(314\) to nearest hundred. This gives us: \(29,000 \div 300\) Now, divide the rounded numbers: \(29,000 \div 300 = 97\) So, our estimated answer is 97.
02

Exact Answer

Now, let's find the exact answer by dividing the given numbers: \(28,800 \div 314\) Use long division or a calculator and you'll get: \(28,800 \div 314 \approx 91.7\) Round the result to a whole number: \(91.7 \approx 92\) So, the exact answer is 92.
03

Compare Estimate and Exact Answer

Now, we need to compare our estimate (97) to the exact answer (92) to determine whether the estimate is lower, higher, or the same. Since \(97 > 92\), the estimate is higher than the exact answer.

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