# Thread: Relative and absolute error

1. ## Relative and absolute error

An approximation
x*is accurate to precisely 6 decimal places. Does this correspond to an absolute or relative error, and what is its maximum magnitude?

(c) An approximation x*is accurate to precisely 6 significant figures. Does this correspond to an absolute or relative error, and what is its maximum magnitude?

I know Absolute error of approximation x* to a real number x is given by |x-x*| and relative error is given by $|x-x^*|/|x|$.

I am not sure how to use the above to solve the question.

thanks for any help.

2. Does "six decimal places" change to "five decimal places" if you use bigger numbers?