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Maximo Goodwin
Mathematics
25 September, 10:02
Is - 1/17 a repeating decimal
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Fiona Black
25 September, 10:05
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A repeating decimal, also called a recurring decimal, is a number whose decimal representation eventually becomes periodic (i. e., the same sequence of digits repeats indefinitely). The repeating portion of a decimal expansion is conventionally denoted with a vinculum so, for example,
The minimum number of digits that repeats in such a number is known as the decimal period.
Repeating decimal notation was implemented in versions of the Wolfram Language prior to 6 as PeriodicForm[RealDigits[r]] after loading the add-on package NumberTheory'ContinuedFractions'.
All rational numbers have either finite decimal expansions (i. e., are regular numbers; e. g.,) or repeating decimals (e. g.,). However, irrational numbers, such as neither terminate nor become periodic.
Numbers such as 0.5 are sometimes regarded as repeating decimals since.
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