It's very simple: does 0.999 repeating forever = 1?

I've had a few discussions about it, and we decided that it was the same as 1. He gave me some pretty good arguments, but we were kinda drunk at the moment...

But I was wondering if anyone here could give me a good answer. I've read somewhere that our classic math simply breaks down on issues like this, but that was "some" site on the net, and we all know the net is always correct...

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Earth's rotation is caused by penguins running around the south pole. Prove me wrong.

Stop.

Right.

There.

See topic Do you think 0.9999999~ =1 , that is infinite 9s.

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0 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0 0 1 1 0 1 0 0 1 0 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0 ...

Oh boy...

We need to add to the FAQ to NEVER AGAIN ask that question. #-o

A friend and I are having a discussion, grammar help needed.

Ah yes, our one thread with the infinitely expanding answers.

Short answer: they are the same.

Long answer (and I mean _long_) can be found by following 01101001's link.

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And you, to whom adversity has dealt the final blow
With smiling [faces] lyin' to ye' everywhere ye' go
Turn to, and put out all your strength of arm and heart and brain
And like the Mary Ellen Carter, rise again.

A friend and I are having a discussion, grammar help needed.

English is not my first language. I'm sorry if these errors bother you.

And yes, I should have used the search button... Lesson learned 8)

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Earth's rotation is caused by penguins running around the south pole. Prove me wrong.

Don't feel bad FrostByte, a lot of native speakers of English say "Me and A Friend". :-?

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At night the stars put on a show for free (Carole King)

One Earth, One Sky - IYA 2009
All moderation in purple

Seeing this thread is the best laugh I had so far this morning.

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Don of Borg - Cool, Calm, Collective.

"Within the next generation I believe that the world's leaders will discover that infant conditioning and narco-hypnosis are more efficient, as instruments of government, than clubs and prisons, and that the lust for power can be just as completely satisfied by suggesting people into loving their servitude as by flogging them and kicking them into obedience." -- Aldous Huxley

wouldn't 0.999~ be a number that infinitely approaches 1?

there are infinite numbers between any two numbers. 0.999~ while technically not equaling 1, it would be acceptable as 1 as soon as it exceeded the margin of error for the tolerances required.

To me this is like the thought experiement that it is impossible to travel from point A to point B.

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The More I learn, The More Ignorant I Become

Eagle Eye Observatory

I suggest you read the (first few pages of) the original thread. There are numerous proofs. If you still have doubts, ask yourself: what number is between 0.99... and 1? If you can't provide an answer, then the definition of the real numbers forces you to accept that the two are equal.

On the other hand, if the two numbers are unequal, you should be able to specify an infinite number of numbers between the two!

Good luck... :wink:

Ugh, people argued for 38 pages about this? And 40% of the people here got the answer wrong (I just cast my vote). What surprises me is not that so many didn't know (it may be, after all, a fairly subtle point for the non-mathematically inclined), but the woowoo-like contempt some of the inequality camp have for anyone who understands mathematics.

The well-known proof (due to Cantor, I think?) of the non-countability of the real numbers doesn't work in base-2 due to this issue. (The result still holds, but one must modify the proof.)

As an example, There was a discussion between me and a friend

4 or 5 threads, at least one of them locked, a couple of regulars banned, and here we go again. I'm tempted to PM the BA, asking to have this thread locked, just to prevent the inevitable bannings that will certainly occur if it isn't locked.
](*,) ](*,) ](*,) ](*,) ](*,) ](*,) ](*,) ](*,)

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Time flies like an arrow.
Fruit flies like a banana.

yes, but practically everyone posting in it is posting to say, "don't post about this!" it's like the person who appeared in ATM asking about Solid Solar Surface guy about a week after that particular debacle.

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Gillian

"Now everyone was giving her that kind of look UFOlogists get when they suddenly say, 'Hey, if you shade your eyes you can see it is just a flock of geese after all.'"

"You can't erase icing."

"I can't believe it doesn't work! I found it on the internet, man!"

That's still bad grammar, you know.

There was a discussion between a friend and me.

There you go.

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SeanF

"Ask to understand, but don't challenge unless you have the knowledge."--NEOWatcher

The contents of this post are ©2010 by SeanF and may not be copied or retransmitted in any form without the express written consent of SeanF

Yes, I know, but the case is correct. It was the best I could do without changing the actual phrase "me and a friend"

I think the real question that we should be answering is: Where do all of those missing socks go?

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"The plan does not involve mayonaise."
"... I knew there was a catch."

You can't take the sky from me.

Is ther 1 missing sock? Or only 0.99..... missing sock?

Frostbyte, I was just poking gentle fun. I am quite sure your English is far better then my Flemish. I had no idea your were not a native English speaker until now. I probably should have used a semicolon or made it two sentences. I'm gonna go split some more infinitives, winter is coming...