How do you work percentage of error backwards
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How do you work percentage of error backwards

[From: ] [author: ] [Date: 11-09-01] [Hit: ]
126.7 - x = -0.126.7 = x - 0.0.89x = 126.......
A student determines a mass of 126.7 mg. The teacher tells the student to measure again because they have over a -11% error. What value would be an expected theoretical mass?

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Let x = mass of object

Error = (measured mass - actual mass) / actual mass = -11%
(126.7 - x) / x = -0.11
126.7 - x = -0.11 x
126.7 = x - 0.11x
0.89x = 126.7
x = 142.36

Since the student has an error over -11%, then the actual mass must be greater than 142.36 mg

Theoretical mass > 142.36 mg

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This is so easy. I can't believe you don't know.
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