Poll: Does 0.99 Recurring = 1

Does 0.99 Recurring = 1

  • Yes

    Votes: 225 42.5%
  • No

    Votes: 304 57.5%

  • Total voters
    529
Status
Not open for further replies.
Ok, another conclusion.

If you have a Christmas cake, can you cut it EXACTLY into three?

I mean exactly, assuming you dont lose any crumbs, and the cake is exactly round.
 
Originally posted by SiDeWInDeR
Bizaare request but can we Archive this thread? I have a huge desire to challenge my school maths teachers :)

If your teachers cannot tell you 0.9r=1, or offer examples/proof, then move school.
 
Originally posted by Xenoxide
Ok, another conclusion.

If you have a Christmas cake, can you cut it EXACTLY into three?

I mean exactly, assuming you dont lose any crumbs, and the cake is exactly round.

Yes you can. In the same way that if I have a cadbury's dairy milk with 12 squares of chocolate, I can split that exactly into 3 equal pieces.
 
Originally posted by Xenoxide
Ok, another conclusion.

If you have a Christmas cake, can you cut it EXACTLY into three?

I mean exactly, assuming you dont lose any crumbs, and the cake is exactly round.

Reality vs Maths. We're dealing with maths, I believe.
 
Originally posted by Xenoxide
Ok, another conclusion.

If you have a Christmas cake, can you cut it EXACTLY into three?

I mean exactly, assuming you dont lose any crumbs, and the cake is exactly round.

Perhaps not, but you can be sure that if you put the three bits together again (assuming you don't lose any crumbs) you'll will have what you started with. In the same way if you divide 1 by 3 to get 0.3r when you add them together again you don't get 0.9r and small bit left over, ie 0.9r = 1.

Jokester
 
Originally posted by Bodak
If your teachers cannot tell you 0.9r=1, or offer examples/proof, then move school.

Reading through most of this thread and also looking at the poll so far, quite a contraversial comment you just made :p
 
Originally posted by daz
Yes you can. In the same way that if I have a cadbury's dairy milk with 12 squares of chocolate, I can split that exactly into 3 equal pieces.

what if one piece ways 0.0009r grams more than the others :p


having gone through the equation and some of the proofs and being sat here with an A4 sheet full of numbers I have put through the equation to see if I can catch it out

I will concede that mathematically 0.99r = 1

mainly because I want to go to bed, and more over becuase what a bunch of sad losers we all must be to spend the best part of 6-8 hours arguing over such a thing :p (as my wife just kindly pointed out) (no offence intended)

BTW just for the record she doesnt think 0.99r = 1 either but Im not going through all this again with her :p
 
I thought id through in my 2 pence.
The difference between 0.9r and 1 is infinately small, therefore:

0.9r = (Infinity – infinity^-infinity)/Infinity
0.9r = (Infinity – 1/infinity^infinity)Infinity

However, no number can be greater than infinity since this is the largest possible number, hence the value of Infinity*infinity exceeds our number system and is lost to some other dimension :)

Its like a flaw, whilst philosophically, it does not equal one, theoretically, in order to fit our number system (Which remember is comepltely made up, numbers are not real, they are a human creation.) it does equal 1 since it cannot be defined in our system.

For isntance, what does infinity + 1 = ? In exactly the same way that 0.0r9 cannot work because you never reach the 9, this cannot work because you would never read the 1. An impossible number.
 
Last edited:
Originally posted by daz
Yes you can. In the same way that if I have a cadbury's dairy milk with 12 squares of chocolate, I can split that exactly into 3 equal pieces.

But that doesn't count, because 12 (A finite number) is divisible by 4 (Another finite number) which gives 3 (Another finite number).

However 10 (A finite number), divided by 3 (Another finite number) gives 3.3r (An INFINITE number).
 
Originally posted by daz
Yes you can. In the same way that if I have a cadbury's dairy milk with 12 squares of chocolate, I can split that exactly into 3 equal pieces.

If the chocolate is made up of prime number of molecules then 3 excat piece are impossilble.

That s a differnet approach but hey.
 
Originally posted by Xenoxide
But that doesn't count, because 12 (A finite number) is divisible by 4 (Another finite number) which gives 3 (Another finite number).

However 10 (A finite number), divided by 3 (Another finite number) give s 3.3r (An INFINITE number).

3.3r is not infinte number. You dont seem to understand what you are on about.

3.3r is irrational and in the limit tends to 3 and 1/3 EXCATLY
 
Originally posted by AlphaNumeric

3 lines. I simply ask for 3 lines. Is that too much to show "The big headed AlphaNumeric, who thinks he knows all" that he's wrong. If you know your stuff to which you linked, it'll take you 30 seconds to quote Ashtons Theorum and show me up. It'll make me look like a fool, and no one will ever beleive me again. Is 30 seconds too much to embarrase me. I'm sure Xenoxoide will love you forever if you make me look an idiot.

I know or at least think it's to do with banach algebra but I couldn't say any more than that I'm afraid. Not like I'm taught it :p
No doubt I'll be completely wrong and you can ridicule me forever more ;)

I'm knackered and it's been a while since I did anything that wasn't philosophical. This stuff has made a nice change of pace tbh.
 
Originally posted by SiDeWInDeR
Reading through most of this thread and also looking at the poll so far, quite a contraversial comment you just made :p

Show me someone in the thread with a degree in maths, or some semi related subject who things 0.9r=!1, and I'll agree.

Most people aren't getting the proofs, I'd imagine.
 
Originally posted by Locrian
I thought id through in my 2 pence.
The difference between 0.9r and 1 is infinately small, therefore:

0.9r = (Infinity – infinity^-infinity)/Infinity
0.9r = (Infinity – 1/infinity^infinity)Infinity

However, no number can be greater than infinity since this is the largest possible number, hence the value of Infinity*infinity exceeds our number system and is lost to some other dimension :)

And cannot be defined by mathematics as we know it. :D
 
Originally posted by Xenoxide
But that doesn't count, because 12 (A finite number) is divisible by 4 (Another finite number) which gives 3 (Another finite number).

Yep can't disagree with that. But like the poster below me says, the only way it's not applicable is if the cake is made out of a prime number of molecules, or a number of molecules not exactly divisible by three. Which proves nothing.

It follows that 1/3 = 0.333 recurring. Correct?

Multiply each side by three.
 
Originally posted by Haly
I know or at least think it's to do with banach algebra but I couldn't say any more than that I'm afraid. Not like I'm taught it :p
To help you (if by the off chance you use Google), you're close, here the hint, check for the "Banach Algebra, L^2 Norm", that and Ashtons Theorum will make me a happy bunny :)
 
Originally posted by sid
3.3r is not infinte number. You dont seem to understand what you are on about.

3.3r is irrational and in the limit tends to 3 and 1/3 EXCATLY

3.3 with an infinite number of 3's on the end is not infinite?

What is 3.3r + 3.3r + 3.3r? 9.9r no?

Is 9.9r equal to 10? (The subject of this debate)
 
Originally posted by AlphaNumeric
To help you (if by the off chance you use Google), you're close, here the hint, check for the "Banach Algebra, L2 Norm", that and Ashtons Theorum will make me a happy bunny :)

I didn't use google, like I said, I don't lie about things like that ;)
Said what I knew tbh.
 
Status
Not open for further replies.
Back
Top Bottom