Decimal arithmatic, was Re: Python GUI app to impress the boss?
Dennis Lee Bieber
wlfraed at ix.netcom.com
Wed Oct 2 20:11:44 EDT 2002
Brian Quinlan fed this fish to the penguins on Wednesday 02 October
2002 12:48 am:
>> When I took science classes, I'd have been dinged a few
>> points
> if
>> I turned in 0.035 -- the rule was to report results to the same
>> significance as the inputs.
>>
>> 0.7 * 0.05 => 0.0 in those science classes.
>
> I'll be that you were really taught to answer 0.04
>
> Otherwise I fear for your scientific education :-)
>
I suspect those classes were rigged where all measurements were to the
same significance (not necessarily decimal places). 123000 * 0.00321 =>
1.23E5 * 3.21E-3 -> 3.95E2 -> 395
So yes, on that basis, both 0.7 and 0.05 are 1 signicant digit, giving
0.04 to one significant digit.
Then again, when I was taking those classes, I ran a slipstick and was
thereby automatically limited to ~2.5 significant digits (depending on
which end of the stick).
My math instructor of the time actually started the year off with a
declaration that answers only needed to be to that significance -- his
background would have been slipstick. Calculators were too expensive
for us poor folk...
Nowadays the calculator is lunch money, getting a good slipstick is
two+ weeks of lunch.
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