Mathematics · Glossary

What is Approximation to a given accuracy?

Also known as: approximation

Definition 1.14 High School Mathematics · Chapter 1 — Numbers and Sets of Numbers

A number dd is an approximation of xx to within 10n10^{-n} when xd10n\abs{x - d} \leq 10^{-n}. Truncating or rounding the decimal expansion after the nn-th digit both give such approximations.

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