A rectangular metal plate measures (14.5 ± 0.1) cm by (6.0 ± 0.1) cm. Find its area with its error.
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A rectangular metal plate measures by . Find its area with its error.
Need a reminder? The key ideaShow
For a sum or a difference, the absolute errors add. For a product or a quotient, the relative errors add, each multiplied by its power:
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Area. .
Step 2. Relative errors. and ; together .
Step 3. Absolute error. .
Answer: .
Watch out. The short side gives most of the error: the same is a bigger part of than of .
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