A repeating decimal or recurring decimal is a decimal representation of a number whose digits are eventually periodic (that is, after some place, the...

decimal separator, are sometimes called terminating decimals. A repeating decimal is an infinite decimal that, after some place, repeats indefinitely the...

A decimal representation of a non-negative real number r is its expression as a sequence of symbols consisting of decimal digits traditionally written...

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...

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...

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...

is a repeating decimal that is an alternative way of writing the number 1. Following the standard rules for representing real numbers in decimal notation...

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...

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...

({\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...

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...

{2512}{100}}} . Every rational number corresponds to a finite or a repeating decimal. Irrational numbers are numbers that cannot be expressed through the...

have repeating decimal representations. In his later years, George Salmon (1819–1904) concerned himself with the repeating periods of these decimal representations...

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...

of bits which is a power of 2 (4, 8, 16, etc.) or a memorable number of decimal digits (e.g., 9 or 10). The set of integers is countably infinite, meaning...

measure in India and Bangladesh Decimal data type, a data type used to represent non-repeating decimal fractions Decimal fraction, a fraction whose denominator...

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...

German 15 cm (5.9 in) artillery shells used in World War I 0.999..., a repeating decimal that is an alternative way of writing the number 1. This disambiguation...

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...

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...

Dennis Cooper's George Miles cycle Periods., comedy film series In a repeating decimal, the length of the repetend Period of a function, length or duration...

of 006993 can be obtained from this repeating decimal if we select six consecutive digits from the repeating decimal starting from different digits. This...

expense, an ongoing (continual) expenditure Repeating decimal, or recurring decimal, a real number in the decimal numeral system in which a sequence of digits...

than factors of 5. Thus, in practical applications, the nuisance of repeating decimals is encountered less often when duodecimal notation is used. Advocates...

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...

drawn over the repeating sequence to indicate that it repeats forever (i.e., every rational number is either a terminating or repeating decimal). China, Japan...

{\displaystyle {\overline {\rm {AB}}}} The vinculum can indicate a repeating decimal value: 1 7 = 0. 142857 ¯ = 0.142857142857142857142857... {\displaystyle...

cyclic patterns of repeating decimals. It was found very early on that for any prime p greater than 5, the period of the decimal expansion of 1/p is...

Finite decimal Dyadic (finite binary) Repeating decimal...

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...