What does repetend mean?
Definitions for repetend
repe·tend
This dictionary definitions page includes all the possible meanings, example usage and translations of the word repetend.
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Wiktionary
repetendnoun
A refrain (having repeated words, sounds or phrases)
repetendnoun
A repeating decimal
Wikipedia
repetend
A repeating decimal or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero. It can be shown that a number is rational if and only if its decimal representation is repeating or terminating (i.e. all except finitely many digits are zero). For example, the decimal representation of 1/3 becomes periodic just after the decimal point, repeating the single digit "3" forever, i.e. 0.333.... A more complicated example is 3227/555, whose decimal becomes periodic at 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 denominator is a power of 10 (e.g. 1.585 = 1585/1000); it may also be written as a ratio of the form k/2n5m (e.g. 1.585 = 317/2352). 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 (rightmost) non-zero digit by one and appending a repetend of 9. Two examples of this are 1.000... = 0.999... and 1.585000... = 1.584999.... (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 forever without repetition (see § Every rational number is either a terminating or repeating decimal). Examples of such irrational numbers are √2 and π.
ChatGPT
repetend
A repetend is a repeating or recurring pattern of numbers or digits in a decimal fraction that continues indefinitely without ever settling into a repeating sequence.
Webster Dictionary
Repetendnoun
that part of a circulating decimal which recurs continually, ad infinitum: -- sometimes indicated by a dot over the first and last figures; thus, in the circulating decimal .728328328 + (otherwise .7/8/), the repetend is 283
Etymology: [L. repetendus to be repeated, fr. repetere to repeat.]
Anagrams for repetend »
repented
Numerology
Chaldean Numerology
The numerical value of repetend in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of repetend in Pythagorean Numerology is: 6
Translations for repetend
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"repetend." Definitions.net. STANDS4 LLC, 2024. Web. 24 Apr. 2024. <https://www.definitions.net/definition/repetend>.
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