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

MR PICK FAULT WITH MY QUESTION WILL YOU FACE
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?
Depends how many decimal places you're working with, doesn't it?
jonarob wrote:
Depends how many decimal places you're working with, doesn't it?

All of them, I'd guess.
The tilde represents recurring.
I'm going to say 'yes'.
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
I thought a wobbly equals was approximately equal to?

[edit]≈ that one
I'm going to get technical.

Does 0.999 ~= 1? Yes.

Does 0.999 ~=== 1? No.
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.
Recurring, I meant, natch.
Apparently, yes.

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

In related news:
Attachment:
aha.jpg


MR WINKY
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.
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.
Anything over 0.5 is good enough for me, but then I am terrible at maths.
Yes it does. I will ask the third question in a new thread.
I think it depends what your context is.

0.999~ of a hole is exactly equivalent to a whole hole.
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.
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!
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?
If it isn't one, it's touching the arse off it.
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.
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.
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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