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  2. Vinculum (symbol) - Wikipedia

    en.wikipedia.org/wiki/Vinculum_(symbol)

    A vinculum can indicate a line segment where A and B are the endpoints: ¯. A vinculum can indicate the repetend of a repeating decimal value: . 17 = 0. 142857 = 0.1428571428571428571...

  3. 142857 - Wikipedia

    en.wikipedia.org/wiki/142857

    It is the repeating part in the decimal expansion of the rational number ⁠ 1 / 7 ⁠ = 0. 142857. Thus, multiples of ⁠ 1 / 7 ⁠ are simply repeated copies of the corresponding multiples of 142857:

  4. Repeating decimal - Wikipedia

    en.wikipedia.org/wiki/Repeating_decimal

    For example, in duodecimal, ⁠ 1 / 2 ⁠ = 0.6, ⁠ 1 / 3 ⁠ = 0.4, ⁠ 1 / 4 ⁠ = 0.3 and ⁠ 1 / 6 ⁠ = 0.2 all terminate; ⁠ 1 / 5 ⁠ = 0. 2497 repeats with period length 4, in contrast with the equivalent decimal expansion of 0.2; ⁠ 1 / 7 ⁠ = 0. 186A35 has period 6 in duodecimal, just as it does in decimal.

  5. Overline - Wikipedia

    en.wikipedia.org/wiki/Overline

    An overline, overscore, or overbar, is a typographical feature of a horizontal line drawn immediately above the text. In old mathematical notation, an overline was called a vinculum, a notation for grouping symbols which is expressed in modern notation by parentheses, though it persists for symbols under a radical sign.

  6. Decimal representation - Wikipedia

    en.wikipedia.org/wiki/Decimal_representation

    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".

  7. 0.999... - Wikipedia

    en.wikipedia.org/wiki/0.999...

    The Archimedean property: any point x before the finish line lies between two of the points P n (inclusive).. It is possible to prove the equation 0.999... = 1 using just the mathematical tools of comparison and addition of (finite) decimal numbers, without any reference to more advanced topics such as series and limits.

  8. Bernoulli number - Wikipedia

    en.wikipedia.org/wiki/Bernoulli_number

    decimal 0: 1 +1.000000000 1: ± ⁠ 1 / 2 ⁠ ±0.500000000 2 ⁠ 1 / 6 ⁠ +0.166666666 3: 0 +0.000000000 4: − ⁠ 1 / 30 ⁠ −0.033333333 5: 0 +0.000000000 6 ⁠ 1 / 42 ⁠ +0.023809523 7: 0 +0.000000000 8: − ⁠ 1 / 30 ⁠ −0.033333333 9: 0 +0.000000000 10 ⁠ 5 / 66 ⁠ +0.075757575 11: 0 +0.000000000 12: − ⁠ 691 / 2730 ⁠ −0 ...

  9. Duodecimal - Wikipedia

    en.wikipedia.org/wiki/Duodecimal

    The duodecimal system, also known as base twelve or dozenal, is a positional numeral system using twelve as its base.In duodecimal, the number twelve is denoted "10", meaning 1 twelve and 0 units; in the decimal system, this number is instead written as "12" meaning 1 ten and 2 units, and the string "10" means ten.