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 Post subject: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 16:16 
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Gogmagog

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As title.

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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 16:17 
SupaMod
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Does 0.999~ = 1... what?
Or are you missing a question mark somewhere?

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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 16:19 
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Gogmagog

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Grim... wrote:
Does 0.999~ = 1... what?
Or are you missing a question mark somewhere?

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Does 0.999~ = 1?

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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 16:20 
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Excellent Member

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no its not.


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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 16:22 
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Depends how many decimal places you're working with, doesn't it?


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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 16:23 
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What-ho, chaps!

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jonarob wrote:
Depends how many decimal places you're working with, doesn't it?

All of them, I'd guess.

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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 16:23 
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Gogmagog

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The tilde represents recurring.

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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 16:23 
SupaMod
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I'm going to say 'yes'.

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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 16:25 
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MaliA wrote:
The tilde represents recurring.

A dot over the final decimal place means recurring, the tilde means Roughly equal to*

*if my A level Maths mind remembers correctly

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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 16:25 
SupaMod
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I thought a wobbly equals was approximately equal to?

[edit]≈ that one

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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 16:25 
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Legendary Boogeyman

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I'm going to get technical.

Does 0.999 ~= 1? Yes.

Does 0.999 ~=== 1? No.

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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 16:26 
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Song Wars 08/09 Champion

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Surely the "units" of the 0.999 would just get gradually smaller and smaller, infinitesimally? There would also be an infinite number of decimal places, but it'd just be almost unimaginably close to 1, but not quite.

IANAMT.

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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 16:28 
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Gogmagog

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Recurring, I meant, natch.

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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 16:29 
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Rakish Member

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Apparently, yes.

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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 16:30 
SupaMod
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He's got a picture! That's this one settled, then!

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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 16:32 
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Grim... wrote:
He's got a picture! That's this one settled, then!

In related news:
Attachment:
aha.jpg


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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 16:32 
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Legendary Boogeyman

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I think there's a mathematically thingy where if its 0.9999 recurring infinitely, for mathematical purposes it can safely be considered the same value as 1.

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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 16:32 
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Excellent Member

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i still disagree. There's something's missing on that pciture but since my english writing skills concerning maths is very limited i leave you all with your ignorance.


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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 16:38 
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Son of a Reaperman

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Anything over 0.5 is good enough for me, but then I am terrible at maths.


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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 17:00 
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Sleepyhead

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Yes it does. I will ask the third question in a new thread.

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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 17:46 
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Be Excellent Member

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I think it depends what your context is.

0.999~ of a hole is exactly equivalent to a whole hole.


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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 19:00 
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Heavy Metal Tough Guy

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You can prove that between two non-equal numbers, there always exists another number ( I think always an infinite number of other numbers ). However, you can't find one between 0.999... and 1. So they are the same.


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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 19:02 
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MR EXCELLENT FACE

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KevR wrote:
Apparently, yes.

Image

http://en.wikipedia.org/wiki/0.999...

Discussion there. I like this picture:
Image


Question: Does 1 + 1 = 3?
Answer: Yes, for very large values of "1".

Saw that on a t-shirt at a club, found it hilarious. Coincidentally I was thinking of this on the bus home only 15 minutes ago!

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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 19:45 
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What the fuck has come over you people today? Maths, philosopy and sandwich-based fractions?

~ does not represent recurring. Ever.

~= means approximately equal to.

Perhaps 0.9 recurring -> 1 (tends towards 1) as you increase the decimal places. How's that?

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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 19:47 
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If it isn't one, it's touching the arse off it.

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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 20:20 
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Pod wrote:
Question: Does 1 + 1 = 3?
Answer: Yes, for very large values of "1".

Saw that on a t-shirt at a club, found it hilarious.

I have that shirt. It's great.


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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 20:57 
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MR EXCELLENT FACE

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richardgaywood wrote:
Pod wrote:
Question: Does 1 + 1 = 3?
Answer: Yes, for very large values of "1".

Saw that on a t-shirt at a club, found it hilarious.

I have that shirt. It's great.


I think a girl was wearing this. She had big norks. That's all I can remember. I remember really enjoying these few facts.

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 Post subject: Re: Does 0.999~ = 1
PostPosted: Fri Apr 04, 2008 22:54 
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BETEO voice of unreason

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Craster wrote:
Perhaps 0.9 recurring -> 1 (tends towards 1) as you increase the decimal places. How's that?


Tricky... Does 0.33333recurring=1/3? If so, (0.33333recurring)*3=(1/3)*3, giving 0.99999recurring=1. Don't think this is what's meant by 'tending to' in mathematics - that's more to do with what happens when a variable approaches infinity, which it obviously cannot reach.

Although I could be wrong, it's years since I've actually done any maths.... MR SHOULD'VE PAID ATTENTION AT UNI FACE

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