• A repeating decimal or recurring decimal is a decimal representation of a number whose digits are eventually periodic (that is, after some place, the...
    56 KB (7,236 words) - 01:30, 19 May 2025
  • A decimal representation of a non-negative real number r is its expression as a sequence of symbols consisting of decimal digits traditionally written...
    10 KB (1,815 words) - 07:32, 3 April 2025
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    decimal separator, are sometimes called terminating decimals. A repeating decimal is an infinite decimal that, after some place, repeats indefinitely the...
    42 KB (5,082 words) - 16:17, 17 May 2025
  • (9)) is a repeating decimal that is an alternative way of writing the number 1. Following the standard rules for representing numbers in decimal notation...
    90 KB (11,684 words) - 03:11, 19 May 2025
  • them) provide a built-in (primitive) or library decimal data type to represent non-repeating decimal fractions like 0.3 and −1.17 without rounding, and...
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  • Thumbnail for Rational number
    other integer base, such as the binary and hexadecimal ones (see Repeating decimal § Extension to other bases). A real number that is not rational is...
    24 KB (3,448 words) - 20:46, 14 May 2025
  • Thumbnail for Fraction
    Let x = the repeating decimal: x = 0.1523987 Multiply both sides by the power of 10 just great enough (in this case 104) to move the decimal point just...
    67 KB (9,636 words) - 01:44, 23 April 2025
  • ({\frac {1}{3}})_{10}} , in binary, is: Thus the repeating decimal fraction 0.3... is equivalent to the repeating binary fraction 0.01... . Or for example, 0...
    60 KB (7,236 words) - 08:24, 31 March 2025
  • measure in India and Bangladesh Decimal data type, a data type used to represent non-repeating decimal fractions Decimal fraction, a fraction whose denominator...
    939 bytes (156 words) - 11:41, 21 January 2023
  • however, the common usage of a vinculum to indicate the repetend of a repeating decimal is a significant exception and reflects the original usage. The vinculum...
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  • Thumbnail for Reciprocals of primes
    have repeating decimal representations. In his later years, George Salmon (1819–1904) concerned himself with the repeating periods of these decimal representations...
    10 KB (750 words) - 16:17, 23 January 2025
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    ellipsis or another notation that indicates the repeating pattern. Such a decimal is called a repeating decimal. Thus ⁠1/3⁠ can be written as 0.333..., with...
    66 KB (8,359 words) - 04:26, 12 May 2025
  • Thumbnail for Positional notation
    repeating decimal notation (to which there does not exist a single universally accepted notation or phrasing). For base 10 it is called a repeating decimal or...
    52 KB (7,495 words) - 16:18, 17 May 2025
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    {2512}{100}}} . Every rational number corresponds to a finite or a repeating decimal. Irrational numbers are numbers that cannot be expressed through the...
    165 KB (16,396 words) - 23:57, 15 May 2025
  • Finite decimal Dyadic (finite binary) Repeating decimal...
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  • square using the decimal digits of the reciprocal of a prime number. In decimal, unit fractions ⁠1/2⁠ and ⁠1/5⁠ have no repeating decimal, while ⁠1/3⁠ repeats...
    16 KB (3,006 words) - 05:13, 15 April 2025
  • repeated decimal digits. A decimal point followed by one or more digits with a bar over them, for example 0.123, represents the repeating decimal 0.123123123...
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  • Duodecimal (redirect from Duo-decimal)
    than factors of 5. Thus, in practical applications, the nuisance of repeating decimals is encountered less often when duodecimal notation is used. Advocates...
    60 KB (4,381 words) - 15:21, 9 May 2025
  • Others are 179487179487, 179487179487179487, etc. Notice that the repeating decimal x = 0.179487179487179487 … = 0. 179487 ¯  has  4 x = 0. 717948 ¯ =...
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  • specified, in which case the expansion of the number is called a repeating decimal. In base 10, if a full reptend prime ends in the digit 1, then each...
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  • base which is a perfect square, that is, base 4, 9, 16, 25, etc. Repeating decimal Fermat's little theorem Cyclic permutation of integer Parasitic number...
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    and 6 + 2 3 = 6.66... {\displaystyle 6+{\tfrac {2}{3}}=6.66...} (a repeating decimal) in the second sense. In metrology (International System of Quantities...
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  • Thumbnail for Real number
    differences. Every real number can be almost uniquely represented by an infinite decimal expansion. The real numbers are fundamental in calculus (and in many other...
    61 KB (8,195 words) - 16:29, 17 April 2025
  • Midy, is a statement about the decimal expansion of fractions a/p where p is a prime and a/p has a repeating decimal expansion with an even period (sequence...
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  • George Miles cycle of novels Periods., a comedy film series In a repeating decimal, the length of the repetend Period of a function, length or duration...
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  • preceding 1000. The largest 3-digit decimal integer. 999 is a Kaprekar number Since 103 − 1 = 999 = 27 × 37, the repeating decimal representations of the reciprocals...
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  • Thumbnail for Irrational number
    notation, notably as a decimal number. In the case of irrational numbers, the decimal expansion does not terminate, nor end with a repeating sequence. For example...
    40 KB (5,309 words) - 10:49, 5 May 2025
  • squares. In this case, 4 and 9 are squares. The fraction ⁠1/49⁠ is a repeating decimal with a period of 42: ⁠1/49⁠ = 0.0204081632 6530612244 8979591836 7346938775...
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  • of 006993 can be obtained from this repeating decimal if we select six consecutive digits from the repeating decimal starting from different digits. This...
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  • Thumbnail for ISO 8601
    5". There is no limit on the number of decimal places for the decimal fraction. However, the number of decimal places needs to be agreed to by the communicating...
    61 KB (6,830 words) - 07:02, 13 May 2025