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  2. Rounding - Wikipedia

    en.wikipedia.org/wiki/Rounding

    This variant of the round-to-nearest method is also called convergent rounding, statistician's rounding, Dutch rounding, Gaussian rounding, odd–even rounding, [6] or bankers' rounding. [ 7 ] This is the default rounding mode used in IEEE 754 operations for results in binary floating-point formats.

  3. Round number - Wikipedia

    en.wikipedia.org/wiki/Round_number

    A round number is an integer that ends with one or more "0"s (zero-digit) in a given base. [1] So, 590 is rounder than 592, but 590 is less round than 600. In both technical and informal language, a round number is often interpreted to stand for a value or values near to the nominal value expressed.

  4. Round - Wikipedia

    en.wikipedia.org/wiki/Round

    Rounding, reducing the number of significant figures in a number; Round number, ending with one or more zeroes; Round (cryptography) Roundness (geology) Roundedness, when pronouncing vowels; Labialization, when pronouncing consonants

  5. Round-off error - Wikipedia

    en.wikipedia.org/wiki/Round-off_error

    Round-by-chop: The base-expansion of is truncated after the ()-th digit. This rounding rule is biased because it always moves the result toward zero. Round-to-nearest: () is set to the nearest floating-point number to . When there is a tie, the floating-point number whose last stored digit is even (also, the last digit, in binary form, is equal ...

  6. Significant figures - Wikipedia

    en.wikipedia.org/wiki/Significant_figures

    For example, to round 1.25 to 2 significant figures: Round half away from zero rounds up to 1.3. This is the default rounding method implied in many disciplines [citation needed] if the required rounding method is not specified. Round half to even, which rounds to the nearest even number. With this method, 1.25 is rounded down to 1.2.

  7. Machine epsilon - Wikipedia

    en.wikipedia.org/wiki/Machine_epsilon

    This alternative definition is significantly more widespread: machine epsilon is the difference between 1 and the next larger floating point number.This definition is used in language constants in Ada, C, C++, Fortran, MATLAB, Mathematica, Octave, Pascal, Python and Rust etc., and defined in textbooks like «Numerical Recipes» by Press et al.

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  9. Order of magnitude - Wikipedia

    en.wikipedia.org/wiki/Order_of_magnitude

    To round a number to its nearest order of magnitude, one rounds its logarithm to the nearest integer. Thus 4 000 000, which has a logarithm (in base 10) of 6.602, has 7 as its nearest order of magnitude, because "nearest" implies rounding rather than truncation. For a number written in scientific notation, this logarithmic rounding scale ...

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