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Forums - General - 0.9999.... = 1.0

 

Are you convinced?

Yes 34 58.62%
 
No 20 34.48%
 
not sure 1 1.72%
 
Total:55
Troll_Whisperer said:
...

Oh yeah? Well, you fight like a cow!

What you said was fine.



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And there we have the problem If you have money at the bank .99999999 is not 1 its 0. (thats how banks cheat and how they manipulate)

Interest = $0.99999~ cents you will never get 1 cent BUT! the bank "bookmarks" the 0.99999 and when 2 years are over (actually when they find another "nonsensical" interest number at another customer which lets say is also 0.99999) they take 0.00001 from the other customer to your 0.99999 and add 1cent to their own credit balance and keep the 0.99998 that were left from the other customer for the next one.

They do the same with currency conversion.

1 US-Dollar = 0.767636447 Euro = 0.007636447 is added to the banks account.

All this, times billions of customers and trillions of money transfers per day and you know its not peanuts.

The problem is...this "cheat money" doesnt end up in the books but in managers etc bank accounts and then the bank magically goes bankrupt and needs government money LOL. The system is so fücked üp.



Yes, it seams that the OP is right.
The thing is that nothing in the known universe can write down that .0999... number that equals to 1. If one begins with writing down a 0 then a . then adds one 9 each second until the universe ends, in the second before it ends the number that one would have would still not be equal to 1.
The above seams intuitively true. Is there a point in talking about infinity then?



This is great! More Maths!

But I thought what Jay said was a known truth. So why the arguments?

Now if you want difficulty, try explaining how any irrational number contains every possible ordering of numbers (so in JPEG form every single picture that has, and will, ever be taken), how ever snowflake is unique or how a fractal has an infinite perimeter but a finite area...



 

Here lies the dearly departed Nintendomination Thread.

In addition I forgot to mention that with compound interest, you will never get more than e times the amount you started off with, proving Futurama to be invalid.



 

Here lies the dearly departed Nintendomination Thread.

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Jumpin said:
Infinite is a theoretical value and is therefore invalid. For example if you added 3 to infinite, you'd still get infinite. If you added 1000 to infinite, then you would still get infinite. If X = Infinite, you could say X + 3 = X + 1000, remove the X and you get 3 = 1000.


Eh... no, it doesn't work that way :)



Jumpin said:
Infinite is a theoretical value and is therefore invalid. For example if you added 3 to infinite, you'd still get infinite. If you added 1000 to infinite, then you would still get infinite. If X = Infinite, you could say X + 3 = X + 1000, remove the X and you get 3 = 1000.


You can't really do that.  If you wanted to say X = infinity, and wanted to use +3 and +1000, you would have to do it like this:
X + 3 = Y + 1000

Where Y is also infinity, but not the same infinity.  It really doesn't make much sense why anyone would want or need to use that example.  

What I do know is that infinity values (differing ones) in math tends to be used to tell whether a series converges or diverges. 



I got this sermon from my Trig teacher, the answer was .99 repeating so I used the notation for that. He said in most cases you need precision where you cut off the number and do the proper rounding. So if your precision was say .01, and you end up with .999, not repeating the answer will be 1. Since the thousandths value was over 5, you would round the hundredths value up.



Jay520 said:

This is a fairly old topic so I'm not sure if all of you have heard about this. I just found out about it and found it interesting.

The claim is that 0.9999.....(infinite 9s) is equal to 1.

Here are some proofs

-

x = 0.9999… given
10x = 9.9999…. multiply by 10
9x = 9 subtract x
x = 1 divide by 9
0.999... = 1 substitution

 

You went from 10x = 9.9999... and by subtracting x somehow arrived on 9x = 9; this is wrong. You should have arrived on 9.000.....1x = 9.

Series will converge to 1, but never arrive at it. It's like saying that you can divide 1 in half and eventually get to 0. You can't. You can approach 0, but never reach it. 

As to 1+1 =3 for sufficiently large values of 1, it's just a joke. 1.49 +1.49 = 2.98.



you can pretty much do the same thing with 1=2 algebra you have to love it.