Calculating Percent Error
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Topic 3 Assessment
POSSIBLE POINTS: 1
Aiden estimates that the length of a piece of rope is $7.2$ inches. If its actual length is $6.5$ inches, what is the percent error of Alden's estimate?
A) $7\%$
B) $9.72\%$
C) $10.77\%$
D) $58\%$
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Step by Step Written Solution
In this problem, Aiden estimates a rope's length to be seven point two inches, but the actual length is six point five inches. We need to find the percent error of this estimate.
Percent Error Calculation
First, let's identify our known values. The estimated value is seven point two and the actual value is six point five.
To find the percent error, we use the formula: the absolute difference between the estimate and actual value, divided by the actual value, all multiplied by one hundred percent.
The Formula
Now, let's plug in our numbers. We subtract six point five from seven point two in the numerator and put six point five in the denominator.
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