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Rounding or rounding off means replacing a number with an approximate value that has a shorter, simpler, or more explicit representation. For example, replacing $ 23.4476 with $ 23.45, the fraction 312/937 with 1/3, or the expression √2 with 1.414.
- Round number
A round number is an integer that ends with one or more "0"s...
- Round-off error
In computing, a roundoff error, [1] also called rounding...
- 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.
Zaokrąglanie – w zapisie pozycyjnym danej liczby zastąpienie zerami pewnej liczby końcowych cyfr znaczących [a], tj. niezerowych. Zaokrąglanie liczb polega na: ustaleniu dokładności zaokrąglenia, tj. na wskazaniu cyfry, względem której określane jest zaokrąglenie;
The word " rounding " for a numerical value means replacing it by another value that is approximately equal but has a shorter, simpler, or more explicit form. For example, US$23.74 could be rounded to US$24, the fraction 312/937 could be rounded to 1/3, and the expression could be rounded to 1.41.
Rounding is a procedure for choosing the representation of a real number in a floating point number system. For a number system and a rounding procedure, machine epsilon is the maximum relative error of the chosen rounding procedure. Some background is needed to determine a value from this definition.
In computing, a roundoff error, [1] also called rounding error, [2] is the difference between the result produced by a given algorithm using exact arithmetic and the result produced by the same algorithm using finite-precision, rounded arithmetic. [3]
In that case, some kind of tie-breaking rule must be used. Wikipedia (currently) lists six deterministic tie-breaking rules in more or less common use: Round $\frac 1 2$ up; Round $\frac 1 2$ down; Round $\frac 1 2$ away from zero; Round $\frac 1 2$ towards zero; Round $\frac 1 2$ to nearest even number; Round $\frac 1 2$ to nearest odd number
