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Although all decimal fractions are fractions, and thus it is possible to use a rational data type to represent it exactly, it may be more convenient in many situations to consider only non-repeating decimal fractions (fractions whose denominator is a power of ten). For example, fractional units of currency worldwide are mostly based on a ...
(also written as 0. 9, 0.., or 0.(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, its value is the smallest number greater than or equal to every number in the sequence 0.9, 0.99, 0.999, ... .
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If a non-repeating set of digits precede the pattern (such as 0.1523 987), one may write the number as the sum of the non-repeating and repeating parts, respectively: 0.1523 + 0.0000 987 Then, convert both parts to fractions, and add them using the methods described above:
Some meteorologists may write "−0" to indicate a temperature between 0.0 and −0.5 degrees (exclusive) that was rounded to an integer. This notation is used when the negative sign is considered important, no matter how small is the magnitude; for example, when rounding temperatures in the Celsius scale, where below zero indicates freezing.
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:
Microsoft Excel 2003 XML XML Spreadsheet Yes Yes Microsoft Excel 4/5/95 XLS, XLW, XLT Spreadsheet Yes Up to 3.6 [80] Microsoft Excel 97–2003 XLS, XLW, XLT Spreadsheet Yes Yes Microsoft Excel 2007-2021 XLSX Spreadsheet Yes Yes Microsoft Excel Web Query File IQY Data sources, text From 5.4 [81] Microsoft Office 2007-2021 Office Open XML: DOCX ...
In other words, a fraction a / b is irreducible if and only if a and b are coprime, that is, if a and b have a greatest common divisor of 1. In higher mathematics, "irreducible fraction" may also refer to rational fractions such that the numerator and the denominator are coprime polynomials. [2]
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