That article on Recurring decimal is a great reference article too!
2.
:We have an article on recurring decimals, with this as the first example.
3.
This number is derived from or corresponds to the recurring decimal . 142857 = 1 / 7.
4.
:OK, based on the context of the puzzle dots for recurring decimals is probably allowed.
5.
A Fraction which is cyclic thus has a recurring decimal of even length that divides into two sequences in 9's complement form.
6.
The angles of 30 and 60 degrees come about so often in common usage that having them be recurring decimals ( as they are in grads ) is a major inconvenience.
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Rational numbers ( e . g ., ) with prime factors in the denominator other than 2 and 5 ( when reduced to simplest terms ) have a unique recurring decimal representation.
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Recurring decimals only exist because in the base system we have chosen ( denary-base 10 ), because two integers have been divided and the result is not a terminating decimal.
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:Having " any " opinion on it, resisting or accepting, seems like a bad idea until you have gotten that recurring decimal thing " defined " to you.
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For example, 1 / 3 = 0.333 . . ., etc . In fact, all recurring decimals are rational and all rationals have decimal expansions that either terminate or are recurring.