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? \( 32.46-14.189 \) An estimate of the difference is 18 . (Type a whole number.) The actual difference is 18.271 . How reasonable is your estimate when compared to the actual answer? A. Reasonable. The estimate seems a little higher compared to the actual answer. B. Reasonable. The estimate seems a little lower compared to the actual answer. C. Not reasonable. The estimate seems a little lower compared to the actual answer. D. Not reasonable. The estimate seems a little higher compared to the actual answer. D. A.
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When rounding for estimation, we rounded 32.46 to 32 and 14.189 to 14. Thus, the estimated difference is \(32 - 14 = 18\). This gives us a quick way to gauge the expected outcome without getting into more complex calculations. The actual computation, \(32.46 - 14.189\), gives us an exact difference of 18.271. Your estimate is fairly close to the actual calculation but slightly below it. This indicates that while the estimate is useful for a rough idea, it can occasionally miss precise values, leading to the option that best fits this scenario.