# Calculating percentage error with significant figures

I have a problem with significant figures. In an assignment, the paper gives us data to $$3$$ significant figures to calculate some values but afterwards requires us to calculate the percentage difference given an accepted value that is to $$4$$ significant figures. If we round the accepted value to $$3$$ significant figures as well, it yields $$0 \%$$ error. How should I deal with this?

That's the point, you weren't meant to round it up. Approximation of numbers comes with error because you are, for instance, adding .005 to 2.545 to approximate it to 2.55. The .005 has a value and adding it when it never existed generates error. Now the question is requesting you to calculate the percentage error (.005s) which I believe should be $$\frac {\sum errors}{\sum accurate} × 100$$