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.9999..... = 1
Thead Owner : vNick, Category : Lounge, 15 Comment, 296 Read
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03-05-2014, 10:58 PM
#11
(02-21-2014, 04:07 PM)vNick Wrote: Right, so:

1/3 = .33333....
(1/3)*3 = 1
.33333....*3 = .9999....
Therefore 1 = .9999....

Does this mean that whole number do not exist and are just limits?
1/3 is 0.33 (infinite). No matter how many times you put 0.33.... you will never reach 1 when multiplied by 3.

The OP does not make any sense.
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03-06-2014, 08:19 PM
#12
(03-05-2014, 10:58 PM)Compulsive Wrote:
(02-21-2014, 04:07 PM)vNick Wrote: Right, so:

1/3 = .33333....
(1/3)*3 = 1
.33333....*3 = .9999....
Therefore 1 = .9999....

Does this mean that whole number do not exist and are just limits?
1/3 is 0.33 (infinite). No matter how many times you put 0.33.... you will never reach 1 when multiplied by 3.

The OP does not make any sense.

As the number of decimal places tends to infinity, you will indeed get 1 when its multiplied by 3. The simple fact you're saying that the number of 3's followed by the decimal points is infinite implies that its a third, and when multiplied by 3 will yield 1. You're not making any sense, the OP is just stating a simple piece of maths, that is indeed accepted.
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03-06-2014, 08:30 PM
#13
Kinda like the 1+1-1+1-1+1-1+1.... = 1/2

Our numbers are slightly flawed, nothing really can be perfect, but this is how the world works out math.. we cant change it.
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03-06-2014, 08:47 PM
#14
We humans made it like this, who is to say what is perfect and isn't. I don't think such a thing exists because humans are too fussy over what 'perfect' is, I think it is at most just a word that we can't really imagine so it's an illusion.
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03-06-2014, 08:54 PM
#15
(03-06-2014, 08:47 PM)Courthope Wrote: We humans made it like this, who is to say what is perfect and isn't. I don't think such a thing exists because humans are too fussy over what 'perfect' is, I think it is at most just a word that we can't really imagine so it's an illusion.

That is a very good way of thinking of 'perfect'.
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03-07-2014, 05:24 AM
#16
As stated previously, it's an infinite amount of numbers after the decimal. The only reason why it would lead to one(Which it shouldn't) is because the calculator you use is rounding off incorrectly to give you such an answer.


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