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Decimal fractions (sometimes called decimal numbers, especially in contexts involving explicit fractions) are the rational numbers that may be expressed as a fraction whose denominator is a power of ten. [8] For example, the decimal expressions ,,,, represent the fractions 4 / 5 , 1489 / 100 , 79 / 100000 , + 809 / 500 ...
For example, decimal 365 (10) or senary 1 405 (6) corresponds to binary 1 0110 1101 (2) (nine bits) and to ternary 111 112 (3) (six digits). However, they are still far less compact than the corresponding representations in bases such as decimal – see below for a compact way to codify ternary using nonary (base 9) and septemvigesimal (base 27).
1 ⁄ 8: 0.125 Vulgar Fraction One Eighth 215B 8539 ⅜ 3 ⁄ 8: 0.375 Vulgar Fraction Three Eighths 215C 8540 ⅝ 5 ⁄ 8: 0.625 Vulgar Fraction Five Eighths 215D 8541 ⅞ 7 ⁄ 8: 0.875 Vulgar Fraction Seven Eighths 215E 8542 ⅟ 1 ⁄ 1 [3] Fraction Numerator One 215F 8543 Ⅰ I: 1 Roman Numeral One 2160 8544 Ⅱ II: 2 Roman Numeral Two 2161 ...
For example, in the decimal system (base 10), the numeral 4327 means (4×10 3) + (3×10 2) + (2×10 1) + (7×10 0), noting that 10 0 = 1. In general, if b is the base, one writes a number in the numeral system of base b by expressing it in the form a n b n + a n − 1 b n − 1 + a n − 2 b n − 2 + ... + a 0 b 0 and writing the enumerated ...
3 8: Duodecimal: 3 12: ... the digit 3, like the other decimal digits, ... This form is sometimes used to prevent falsifying a 3 as an 8.
3/8 or 3 ⁄ 8 may refer to: 3rd Battalion, 8th Marines; the calendar date March 8 (United States) the calendar date August 3 (Gregorian calendar) the fraction, three eighths or 0.375 in decimal; a time signature; 3/8, a 2007 album by Kay Tse
Also the converse is true: The decimal expansion of a rational number is either finite, or endlessly repeating. Finite decimal representations can also be seen as a special case of infinite repeating decimal representations. For example, 36 ⁄ 25 = 1.44 = 1.4400000...; the endlessly repeated sequence is the one-digit sequence "0".
In the decimal system, there are 10 digits, 0 through 9, which combine to form numbers. In an octal system, there are only 8 digits, 0 through 7. That is, the value of an octal "10" is the same as a decimal "8", an octal "20" is a decimal "16", and so on.