Round your answer to the neatest tenth of a percent and include a precent sign?

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1 Answer
Feb 20, 2018

The precision of the initial values determines all subsequent precision.
"Percent" error in the overall area calculation = #0.6%#

Explanation:

"Error" must be in relation to some known standard. With only one significant figure in each value the final result can only be known to the nearest sub-unit given -- +/-#0.5#inch.
#7xx6 = 42"in"^2#

There is no "error" in the calculation. "Error" = #0.0%# IF you want to know the percent "error" in the overall area, we take the square of the linear measurement uncertainty, #0.5"in"#:
+/-#0.5^2 =# +/-# 0.25"in"^2#

As a percentage of the total calculated area this is:
#0.25/42 xx 100 = 0.595%# rounded to the nearest tenth it is then #0.6%#