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Translations for „repeating decimal“ in the English » Arabic Dictionary (Go to Arabic » English)

repeating decimal N

repeating decimal (or recurring)

Monolingual examples (not verified by PONS Editors)

English
That is, a repeating decimal can be regarded as the sum of an infinite number of rational numbers.
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Sometimes an infinite repeating decimal is required to reach the same precision.
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This illustrates that cyclic permutations are somehow related to repeating decimals and the corresponding fractions.
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This type of repeating decimal can be obtained by long division if one uses a modified form of the usual division algorithm.
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Thus, it is often useful to convert repeating decimals into fractions.
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If you divide a number by the amount of 9s corresponding to its number of digits, the number is turned into a repeating decimal.
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But in the case of the repeating decimal, intuition points the other way.
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As there are 168 remainders for the repeating decimal value of one one-hundred-sixty-ninth, there can be at most 168 digits before the decimal expansion repeats.
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Knowing just that, a general repeating decimal can be expressed as a fraction without having to solve an equation.
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At present, there is no single universally accepted notation or phrasing for repeating decimals.
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