27 Oct
2008
27 Oct
'08
6:37 a.m.
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 vs. 3.46 -> 3 That was actually the debate with that teacher. Unbelievable as that still is to me today, she advocated the 3.46 -> 3.5 -> 4 route... And yes, Henning, you are right, we didn't yet share school in fourth grade when rounding was taught. Ciao, Janis. -- Dr. Janis Voigtlaender http://wwwtcs.inf.tu-dresden.de/~voigt/ mailto:voigt@tcs.inf.tu-dresden.de