ENOUGH! (was: "Re: [OT]: Brain Burp Rounding??")
David VanHorn email (remove spam text)
>1/3 * 3 = .3333333333 * 3 = .99999999999 (to infinity)
>However, using fracional simplification:
>1/3 * 3 = 3/3 = 1/1 = 1
>Therefore 1 = .9999999999 (to infinity)
>Is that good enough for you?
Works for me.
It's just awkward to represent in decimal
The fractions don't "simplify" it, they are a better representation.
Simplification implying discarding accuracy to achieve an end.
I'll agree with 1 = the sum of the infinite series 0.999.. strictly as a
simplification, because the result isn't likely to be significantly different.
But I don't agree that 1 = 0.999...
The key point is that by making the first statement, you are defining what
"sum of the infinite series" means, not stating the equality 1 = 0.999...
> > If you can't represent it, then you can't do calculations with it.
>What is wrong with the overbar? Are you requiring all numeric
>representations be in decimal? So I can't use Pi in any of my calculations?
'Snot what I said.
1/3 is a precise representation, 0.3333 isn't
PI works, 3.141... isn't precise.
When you force any of these trancendentals into decimal form, you can't
represent them accurately. It's a fundamental limitation of the decimal form.
Dave's Engineering Page: http://www.dvanhorn.org
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