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Quandaries & Queries
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 Topic: repeated decimal
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 2.236... 2015-10-13 From Ann:2.236... What is the most specific category of numbers does this fall into? Rational or Irrational? Does the .... mean that it repeats?Answered by Harley Weston. Repeated decimals 2015-05-09 From Vir:Years ago I (re?)discovered 'cyclic division'. For example: if you arrange the number along a circle and put the number 142857 at the centre all the numbers taken cyclically, starting with 1, are fully divisible by 37. Whatever the starting point of this number, it remains fully divisible by 37. what is more, the number can be formed by taking the digits clockwise as well as anti-clockwise..This I call "full cyclic divisibility". In many cases, only clockwise cyclic divisibility is possible. But I have not come across a case where ONLY anti-clockwise divisibility occurs. Thus clockwise cyclic divisibility seems to be favoured. Could this be construed as a sign of chirality in mathematics?..Answered by Chris Fisher.

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