Poll: Does 0.99 Recurring = 1

Does 0.99 Recurring = 1

  • Yes

    Votes: 225 42.5%
  • No

    Votes: 304 57.5%

  • Total voters
    529
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>sigh<

0.999r.JPG


Jokester
 
Incredible. Would the ~70% of you that voted 'no' have a look at the numerous mathematical proofs posted in the other thread, then come back and tell us?
 
Originally posted by Crispy Pigeon
75% now.
My faith in humanity is dropping as it rises I think.
Originally posted by FordPrefect
1 != 0.9999999999999r
0.9999999999999r = ~1 tho.
With a logical argument like that, I can't beleive I didn't see it before! Can I change my vote to "No", now that I've read such airtight reasoning?

[/sarcasm]
 
Why do you guys have to be so aggressive?

Is it because those that aren't blinded by the reasoning of your betters don't believe them? Or is it because we're questioning the thing you set so much stock in? Your faith, if you will.
 
This is a totally meaningless poll.

If the no vote wins, does that really mean that 0.9r is not equal to 1?

If the yes vote wins, does that really mean that 0.9r = 1?

What if it ends up as a tie?
 
Before you vote, please read this. I think Alpha quite elegantly sums up several proofs that 0.9r does in fact equal 1.

Originally posted by AlphaNumeric in 0.999r
Several Proofs*

1)

Okay, if its not 10, then there's a number between 9.9r and 10 surely? What is it I bet you can't think of one

2)

We all "know" 1/3 = 0.333333r
Multiple both sides by 3
1 = 0.999999r

3)

1-0.999... = 1 - 0.9 - 0.099... = 0.1 - 0.099...
1-0.999... = 1 - 0.99 - 0.009... = 0.01 - 0.009...
1-0.999... = 1 - 0.999 - 0.0009... = 0.001 - 0.0009...
and so on.

Since subtracting a positive quantity from a number makes it smaller, obviously:
0.1 - 0.099... < 0.1
0.01 - 0.009... < 0.01
etc.

Putting it together, we've got
1-0.999... < 0.1
1-0.999... < 0.01
1-0.999... < 0.001
and so on ad infinitum. So we see the first digit must be zero, the second digit must be zero, the third must be zero, and continuing in fact -- hence all digits must be zero. So we've established 1-0.999... = 0.000... = 0

But if 1-0.999...=0 , then we must have 1=0.999... -- at least if we want basic rules of algebra to hold.

4)

0.99... + 0.99... = ?
It's got to be either 1.99... or 2. So, either
0.99... + 0.99... = 1.99...
0.99... + 0.99... = 1 + 0.99...
0.99... = 1
or,
0.99... + 0.99... = 2
2*0.99... = 2*1
0.99... = 1

5)

1/9 = .11111....
2/9 = .22222....
3/9 = .33333....
....
8/9 = .88888....
9/9 = 1 = .99999....

6)

x = .9(repeat)
10*x=9.9(repeat)
10*x-x=9
x=1

7)

9+ 0.9 + 0.09 + 0.009 + .....
=

9/(1-0.1) = 9/0.9 = 10
(Gauss' Formula)

If you dispute these then I suggest you do a degree in maths. Without sounding smart arse (I'm drunk, I'm not going to sugar coat it) I'm clever than you at maths (you being 99.99999% of this forum) and take my word for it, 0.9r = 1

* Several being more than 5, and being those thought up by the cleverest maths people ever to grace the earth. Compared to them, you, and everyone else on this forum (inc me, Growse, Rich_L, Peter Griffin and all the others who are good at maths are nothing but amateurs! You can't comprehend their brilliance!)
 
Wow a lot of people here either haven't read any of the proof or just don't understand it, in which case they shouldn't be voting.
All this thread does is show how many poeple don't understand maths behind it or don't care :rolleyes: :D
 
Originally posted by Gilly
Your faith, if you will.
Faith? Things we've defined don't need "faith", its like my parents saying "Are you sure you're called George. We did name you George, but are you sure?". They called me George, I'm George. You could argue otherwise, but since by definition, I'm George, it'd be a mute point.

I just think its somewhat insulting a bunch of GCSE and A Level students, and a load of people with no experience in such things think they know more about these things than the last 2000 years worth of mathematicians. Bit presumptive isn't it?

Like me coming into your workplace and telling you you're not setting the network right, your VB code is wrong and thats not how to rewire a PSU (all 3 things I don't have any idea on). You'd say I was being a presumptive, perhaps arrogant person, wouldn't you?
 
What a silly, silly game we’re playing here. This thread fails even to address the key problem with the previous one, whether or not we are talking mathematically. Given there is nothing in the question to suggest otherwise; we are voting on a mathematical formula, I presume we are talking mathematically, where it has been proven than 0.99r =1. There is no debate, just a surprising number of people voting against mathematical proof.

This is no question of faith, or anything of that nature; this is just dumb logic and foolish stubbornness. If you want to talk philosophically say so, we can have a go at deciding whether or not an infinitesimally recurring decimal can occur, before we start to consider what it is equal to, but this hasn’t been presented as a philosophical debate.

This thread is a waste of time and effort, and has by design already detracted into a handbags match. Shame, I would have quite enjoyed going at the philosophical side of this argument.
 
Hardly the same. It'd be like you coming on here and doing it, surely? Given that this is a place for discussion and sharing of views, whereas the workplace is a place for work.

Simply because you chose this as your vocation doesn't make your opinions any more valid than anyone elses, and yes, that includes those that do not agree with you.

Originally posted by nige

This thread is a waste of time and effort, and has by design already detracted into a handbags match. Shame, I would have quite enjoyed going at the philosophical side of this argument.

Go for it then. At least it appears that you're willing to agree that this debate has a purpose other than a mathematical one. You're the first.
 
Originally posted by Gilly
Hardly the same. It'd be like you coming on here and doing it, surely? Given that this is a place for discussion and sharing of views, whereas the workplace is a place for work.

Simply because you chose this as your vocation doesn't make your opinions any more valid than anyone elses, and yes, that includes those that do not agree with you.
How can you say a defenition is wrong to those who made it (not saying I'm one of them!).
 
Surely it's a fact that 0.9r = 1 as has been proven many different ways.

Why don't the people that vote 'no' prove otherwise, rather than just say 'it can't equal 1' or something smiilar.
 
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