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Does 0.999~ = 1
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Author:  MaliA [ Fri Apr 04, 2008 16:16 ]
Post subject:  Does 0.999~ = 1

As title.

Author:  Grim... [ Fri Apr 04, 2008 16:17 ]
Post subject:  Re: Does 0.999~ = 1

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

MR PICK FAULT WITH MY QUESTION WILL YOU FACE

Author:  MaliA [ Fri Apr 04, 2008 16:19 ]
Post subject:  Re: Does 0.999~ = 1

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

MR PICK FAULT WITH MY QUESTION WILL YOU FACE


Does 0.999~ = 1?

Author:  RuySan [ Fri Apr 04, 2008 16:20 ]
Post subject:  Re: Does 0.999~ = 1

no its not.

Author:  WTB [ Fri Apr 04, 2008 16:22 ]
Post subject:  Re: Does 0.999~ = 1

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

Author:  MrD [ Fri Apr 04, 2008 16:23 ]
Post subject:  Re: Does 0.999~ = 1

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

All of them, I'd guess.

Author:  MaliA [ Fri Apr 04, 2008 16:23 ]
Post subject:  Re: Does 0.999~ = 1

The tilde represents recurring.

Author:  Grim... [ Fri Apr 04, 2008 16:23 ]
Post subject:  Re: Does 0.999~ = 1

I'm going to say 'yes'.

Author:  pupil [ Fri Apr 04, 2008 16:25 ]
Post subject:  Re: Does 0.999~ = 1

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

Author:  Grim... [ Fri Apr 04, 2008 16:25 ]
Post subject:  Re: Does 0.999~ = 1

I thought a wobbly equals was approximately equal to?

[edit]≈ that one

Author:  ElephantBanjoGnome [ Fri Apr 04, 2008 16:25 ]
Post subject:  Re: Does 0.999~ = 1

I'm going to get technical.

Does 0.999 ~= 1? Yes.

Does 0.999 ~=== 1? No.

Author:  Sheepeh [ Fri Apr 04, 2008 16:26 ]
Post subject:  Re: Does 0.999~ = 1

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.

Author:  MaliA [ Fri Apr 04, 2008 16:28 ]
Post subject:  Re: Does 0.999~ = 1

Recurring, I meant, natch.

Author:  KevR [ Fri Apr 04, 2008 16:29 ]
Post subject:  Re: Does 0.999~ = 1

Apparently, yes.

Image

Author:  Grim... [ Fri Apr 04, 2008 16:30 ]
Post subject:  Re: Does 0.999~ = 1

He's got a picture! That's this one settled, then!

Author:  Grim... [ Fri Apr 04, 2008 16:32 ]
Post subject:  Re: Does 0.999~ = 1

Grim... wrote:
He's got a picture! That's this one settled, then!

In related news:
Attachment:
aha.jpg


MR WINKY

Author:  ElephantBanjoGnome [ Fri Apr 04, 2008 16:32 ]
Post subject:  Re: Does 0.999~ = 1

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.

Author:  RuySan [ Fri Apr 04, 2008 16:32 ]
Post subject:  Re: Does 0.999~ = 1

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.

Author:  Tmuk [ Fri Apr 04, 2008 16:38 ]
Post subject:  Re: Does 0.999~ = 1

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

Author:  Curiosity [ Fri Apr 04, 2008 17:00 ]
Post subject:  Re: Does 0.999~ = 1

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

Author:  SkyKid [ Fri Apr 04, 2008 17:46 ]
Post subject:  Re: Does 0.999~ = 1

I think it depends what your context is.

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

Author:  Squirt [ Fri Apr 04, 2008 19:00 ]
Post subject:  Re: Does 0.999~ = 1

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.

Author:  Pod [ Fri Apr 04, 2008 19:02 ]
Post subject:  Re: Does 0.999~ = 1

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!

Author:  Cras [ Fri Apr 04, 2008 19:45 ]
Post subject:  Re: Does 0.999~ = 1

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?

Author:  AceAceBaby [ Fri Apr 04, 2008 19:47 ]
Post subject:  Re: Does 0.999~ = 1

If it isn't one, it's touching the arse off it.

Author:  Doctor Glyndwr [ Fri Apr 04, 2008 20:20 ]
Post subject:  Re: Does 0.999~ = 1

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.

Author:  Pod [ Fri Apr 04, 2008 20:57 ]
Post subject:  Re: Does 0.999~ = 1

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.

Author:  SteONorDar [ Fri Apr 04, 2008 22:54 ]
Post subject:  Re: Does 0.999~ = 1

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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