The Collaborative International Dictionary
Decimal \Dec"i*mal\, n. A number expressed in the scale of tens; specifically, and almost exclusively, used as synonymous with a decimal fraction.
Circulating decimal, or Circulatory decimal, a decimal fraction in which the same figure, or set of figures, is constantly repeated; as, 0.354354354; -- called also recurring decimal, repeating decimal, and repetend.
Wiktionary
n. (context mathematics English) A decimal representation of a real number that, at some point, becomes periodic (and repeats the same sequence of digits indefinitely)
WordNet
n. a decimal with a sequence of digits that repeats itself indefinitely [syn: circulating decimal, recurring decimal]
Wikipedia
A repeating or recurring decimal is a way of representing rational numbers in base 10 arithmetic. The decimal representation of a number is said to be repeating if it becomes periodic (repeating its values at regular intervals) and the infinitely-repeated portion is not zero. For example, the decimal representation of ⅓ becomes periodic just after the decimal point, repeating the single digit "3" forever, i.e. 0.333…. A more complicated example is , whose decimal becomes periodic after the second digit following the decimal point and then repeats the sequence "144" forever, i.e. 5.8144144144…. At present, there is no single universally accepted notation or phrasing for repeating decimals.
The infinitely-repeated digit sequence is called the repetend or reptend. If the repetend is a zero, this decimal representation is called a terminating decimal rather than a repeating decimal, since the zeros can be omitted and the decimal terminates before these zeros. Every terminating decimal representation can be written as a decimal fraction, a fraction whose divisor is a power of 10 (e.g. ); it may also be written as a ratio of the form (e.g. ). However, every number with a terminating decimal representation also trivially has a second, alternative representation as a repeating decimal whose repetend is the digit 9. This is obtained by decreasing the final non-zero digit by one and appending a repetend of 9, a fact that some find puzzling. and are two examples of this. (This type of repeating decimal can be obtained by long division if one uses a modified form of the usual division algorithm.)
Any number that cannot be expressed as a ratio of two integers is said to be irrational. Their decimal representation neither terminates nor infinitely repeats but extends for ever without regular repetition. Examples of such irrational numbers are the square root of 2 and pi.
Usage examples of "repeating decimal".
I was in it and vice versa-equally distributed and totally contained by/in the nightmare system with consciousness at C-n and chillthirstheatchillthirstheat a repeating decimal running every/anywhere on the projective plane that surrounded .
As yet, however, no hu had specifically requested information pertaining to the Tkon and so all the data that confirmed the ancient empire's existence was carefully filed in the backups, along with the revelations of the Living Universe, the true theory of warp travel, and the value of pi worked out to an infinitely repeating decimal.