www.piclist.com/techref/index.htm?key=brain+burp+rounding

>

>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?

>e? i?

'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

I would have a link to FINDU here in my signature line, but due to the

inability of sysadmins at TELOCITY to differentiate a signature line from

the text of an email, I am forbidden to have it.

--

http://www.piclist.com#nomail Going offline? Don't AutoReply us!

email spam_OUTlistservEraseMETakeThisOuTmitvma.mit.edu with SET PICList DIGEST in the body

In reply to: <004301c0ed18$d9727990$6400000a@bignet.net>

See also: www.piclist.com/techref/index.htm?key=brain+burp+rounding