Midy's theorem
id:
midy-s-theorem-196-238001
title:
Midy's theorem
text:
In mathematics, Midy's theorem, named after French mathematician E. Midy, is a statement about the decimal expansion of fractions a/p where p is a prime and a/p has a repeating decimal expansion with an even period. If the period of the decimal representation of a/p is 2n, so that then the digits in the second half of the repeating decimal period are the 9s complement of the corresponding digits in its first half. In other words, For example,
brand slug:
wiki
category slug:
encyclopedia
description:
On decimal expansions of fractions with prime denominator and even repeat period
original url:
https://en.wikipedia.org/wiki/Midy%27s_theorem
date created:
date modified:
2023-11-22T05:46:38Z
main entity:
{"identifier":"Q856158","url":"https://www.wikidata.org/entity/Q856158"}
image:
fields total:
13
integrity:
14