Question

estimate the result of the computation by rounding the numbers involved to the nearest integer, then use a calculator to find the exact value and find the percent error. (note: percent error is error/exact value written as a percentage.) round the exact answer to four decimal places. the percent error should be positive and rounded to one decimal place.
8.772 - 9.66 / √4.491
part 1 of 3
the estimated result of the computation is -0.50.
alternate answer:
the estimated result of the computation is -0.5.
part: 1 / 3
part 2 of 3
the actual result of the computation is □. round your answer to four decimal places, if needed.

Explanation:

Step1: Calculate the exact value

First, calculate $\sqrt{4.491}\approx2.12$. Then $\frac{8.772 - 9.66}{2.12}=\frac{- 0.888}{2.12}\approx - 0.42$.

Step2: Calculate percent - error

The formula for percent - error is $\text{Percent Error}=\frac{\text{Error}}{\text{Exact Value}}\times100\%$. Here, the estimated value is $-0.50$ and the exact value is $- 0.42$. The error is $|-0.50-(-0.42)| = 0.08$. Then the percent - error is $\frac{0.08}{0.42}\times100\%\approx19.05\%$.

Answer:

The actual result of the computation is $-0.42$. The percent error is $19.05\%$.