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  2. Significant figures - Wikipedia

    en.wikipedia.org/wiki/Significant_figures

    For example, 13 0 0 has three significant figures (and hence indicates that the number is precise to the nearest ten). Less often, using a closely related convention, the last significant figure of a number may be underlined; for example, "1 3 00" has two significant figures. A decimal point may be placed after the number; for example "1300."

  3. Numeric precision in Microsoft Excel - Wikipedia

    en.wikipedia.org/wiki/Numeric_precision_in...

    Under these circumstances, all the significant figures go into expressing b. For example, if the precision is 15 figures, and these two numbers, b and the square root, are the same to 15 figures, the difference will be zero instead of the difference ε. A better accuracy can be obtained from a different approach, outlined below.

  4. Arithmetic - Wikipedia

    en.wikipedia.org/wiki/Arithmetic

    See Significant figures § Arithmetic.) More sophisticated methods of dealing with uncertain values include interval arithmetic and affine arithmetic. Interval arithmetic describes operations on intervals. Intervals can be used to represent a range of values if one does not know the precise magnitude, for example, because of measurement errors.

  5. Template:Significant figures - Wikipedia

    en.wikipedia.org/wiki/Template:Significant_figures

    This template has two different functions dependent on input. If only one parameter is given the template counts the number of significant figures of the given number within the ranges 10 12 to 10 −12 and −10 −12 to −10 12.

  6. Trailing zero - Wikipedia

    en.wikipedia.org/wiki/Trailing_zero

    For example, 14000 has three trailing zeros and is therefore divisible by 1000 = 10 3, but not by 10 4. This property is useful when looking for small factors in integer factorization . Some computer architectures have a count trailing zeros operation in their instruction set for efficiently determining the number of trailing zero bits in a ...

  7. False precision - Wikipedia

    en.wikipedia.org/wiki/False_precision

    False precision (also called overprecision, fake precision, misplaced precision, and spurious precision) occurs when numerical data are presented in a manner that implies better precision than is justified; since precision is a limit to accuracy (in the ISO definition of accuracy), this often leads to overconfidence in the accuracy, named precision bias.

  8. Significand - Wikipedia

    en.wikipedia.org/wiki/Significand

    The significand [1] (also coefficient, [1] sometimes argument, [2] or more ambiguously mantissa, [3] fraction, [4] [5] [nb 1] or characteristic [6] [3]) is the first (left) part of a number in scientific notation or related concepts in floating-point representation, consisting of its significant digits. For negative numbers, it does not include ...

  9. Round-off error - Wikipedia

    en.wikipedia.org/wiki/Round-off_error

    The condition number of a problem is the ratio of the relative change in the solution to the relative change in the input. [3] A problem is well-conditioned if small relative changes in input result in small relative changes in the solution.

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