Round

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Round, by default, corresponds to rounding towards nearest integer; if equidistant (this happens with even bases) to two nearest integers, then rounding towards nearest even integer [balanced rounding]. With balanced rounding, if we have a random half-integer, then the probabilities of rounding up or rounding down are equal (both 50%).

Round to multiple of $\scriptstyle k\,$ corresponds to rounding towards nearest multiple of $\scriptstyle k\,$; if equidistant to two nearest multiples of $\scriptstyle k\,$, then rounding towards nearest even multiple of $\scriptstyle k\,$ [balanced rounding]. With balanced rounding, if we have a random half-multiple of $\scriptstyle k\,$, then the probabilities of rounding up or rounding down are equal (both 50%). The default meaning of round thus means round to multiple of 1. We may also round to multiple of a noninteger, e.g. round to multiple of 0.01. In base $\scriptstyle b\,$, it is customary to round to a multiple of a given power of $\scriptstyle b\,$, the default being $\scriptstyle b^{0}\,=\,1.\,$

See also

• Help:Calculation#Round operator (rounds towards a multiple of a given power of 10)