On Mon, 27 Oct 2008, Daniel Fischer wrote:

Am Montag, 27. Oktober 2008 11:46 schrieb Henning Thielemann:
On Mon, 27 Oct 2008, Janis Voigtlaender wrote:
Henning Thielemann wrote:
I think one reason is that repeated rounding should not be worse than
rounding in one go. Consider the rule 'use ceiling when the first
removed digit is 5'. Then

0.45 - (round to one place) -> 0.5 - (round to integer) -> 1

But repeated rounding *is* worse than rounding in one go, under any
reasonable scheme:

3.46 -> 3.5 -> 4

With the rounding-to-even route this would be

3.46 -> 3.4 -> 3

Wait, that cannot be. 6 > 5, so 3.46 -> 3.5 even with banker's rounding.

You are right, my oversight. So only the method helps, that the last digit is marked, whether it was generated by rounding up or down.
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