Repeating Decimal
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Repeating Decimal

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High Quality Content by WIKIPEDIA articles! A decimal representation of a real number is called a repeating decimal (or recurring decimal) if at some point it becomes periodic: there is some finite sequence of digits that is repeated indefinitely. For example, the decimal representation of 1 3 = 0.3333333... (spoken as "0.3 repeating", or "0.3 recurring") becomes periodic just after the decimal point, repeating the single-digit sequence "3" infinitely. A somewhat more complicated example is 3227 555 = 5.8144144144..., where the decimal representation becomes periodic at the second digit after ...