Do you call 0,999999 one?

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Kliffhanger
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03 Nov 2007, 7:28 pm

Discuss!

Starr
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03 Nov 2007, 7:30 pm

No. Because it isn't, quite.

What's to discuss?

Riabhag
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03 Nov 2007, 7:53 pm

No.....its 0.999999. However, NTs would say that it is 'one' ...due to the fact that they're rather oblivious to such minor differences. I've found that they're like that with everything, though.

And we're the ones with the disability? Silly NTs.

Quatermass
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03 Nov 2007, 8:04 pm

I'd call it "1 minus omega 1".

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Yog-Sothoth
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03 Nov 2007, 8:35 pm

Its not one, its close but its not one, so why would I call it one? I'm confused, is there something I am missing here?

dalhousie12
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03 Nov 2007, 8:49 pm

In the world of surveying and mapping, using a scale factor of .9999 (3tm mapping projection) vs 1.0000 scale factor can produce an error or difference in distances between two points(ex. 2cm difference in distances) The greater the distance, the more error in the actual grid or ground distance is present, if you round 0.9999 up to one. Therefore i said no. i would not call 0.999999 one.

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RainSong
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03 Nov 2007, 9:16 pm

No, I've always seen it as .9 repeating; it's never one because there's always some small part that's missing. It may be so entirely, incredibly small, but it's still not there, and so it's not one.

But technically it's considered to be one. Didn't get it when it was taught, don't get it now.

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EvilKimEvil
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03 Nov 2007, 9:20 pm

No, of course it's not 1.

AnonymousAnonymous
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03 Nov 2007, 9:29 pm

No, it is not 1, but when rounded up, it is 1.

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Stevopedia
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03 Nov 2007, 9:48 pm

Well, it depends. If it's .99 repeating, that is, if there are an infinite number of nines after the decimal point, then it is equal to 1. If there are not an infinite number of nines, than it is not 1. (That can be proven mathematically, by the way.)

Who_Am_I
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03 Nov 2007, 10:50 pm

No. It's NOT 1.

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Nairin
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04 Nov 2007, 7:34 am

I don't know.

I sort of think it isn't One, but... I'm confused.

Do I get an F?

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username88
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04 Nov 2007, 8:57 am

As it is almost one, it is not one. So, no.

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Trigger11
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04 Nov 2007, 12:49 pm

It is not 1!

A real life example is gas prices. I cannot stand it when people say gas is $2.69, when the actual price is $2.699. They connot buy enough gas to save the one cent, so the actual price is $2.70. I believe this to be a marketing technique to trick consumers into thinking the price is not quite as high.

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steve30
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04 Nov 2007, 4:03 pm

Depends how accurate I need to be.

If I don't need to be accurate then it will be either 1 or about 1.

If I do need to be accurate, then it will be 0.999999.

marshall
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04 Nov 2007, 4:40 pm

If you have an infinite number of 9s it has to be equal to one. However a finite number of 9s is not the same as one. Any finite number of 9s will be slightly less than one. To prove these things you need to use the definition of limits.

0.99999... is shorthand for

0.9 + 0.09 + 0.009 + 0.0009 + ... , which is shortand for

lim_n->oo [sum_(k=1 to n)[9*10^-k]].

From the definition of a limit this last expression can be proved to equal one.

The "..." means "take the limit" so 0.9999... is in fact equal to one by definition. Without the "..." it's less than one. So it would be incorrect to call 0.999999 one but correct to call 0.999999... one.

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