0.999999 recurring actually equals 1

[Bahumat]

Look, I don't know what the fucks going on here but I've been adding tons and tons of 9's on the the end of 0.9 and it's still not turned into 1. I mean come on, how many more fucking 9's am I going to have to count before it switched over? I don't even like counting

*goes back to counting*

 

[Wonk]

Look, I don't know what the fucks going on here but I've been adding tons and tons of 9's on the the end of 0.9 and it's still not turned into 1. I mean come on, how many more fucking 9's am I going to have to count before it switched over? I don't even like counting

*goes back to counting*

You've got a fucking point here. 0.9 is 0.9 no matter how you twist the numbers.

 

[noblok]

I think the main point here is: infinity is a weird concept. Mathematics has apparently found a way to make it work inside the frame set out by mathematics, but this leads to conclusions which go against common sense. Conclusion: the mathematical representation of infinity is not an adequate representation of the common sense concept, even though it works fine in mathematical calculations.

 

[old.Tohtori]

Most likely it's due to rounding up or some such.

Since infinite isn't definitive, the..err...math society has deemed that the next logical step is to see which is the ultimate round-up number if the chain of 9s ever stopped.

When the rounding up starts, even after a billion million 9s, it's bound to become 1 due to the chain reaction.

 

[gohan]

nope your both over analising it



its litrally as simple as 0.999... isnt a real number only a bi-product of multiplying frations that have been changed to decimals i.e 0.666... x 1.5 0.111... x9 0.333... x 3 ect ect all add up to 0.999... althout they are 1/3, 2/3 and 1/9 when multiplied by 3 1.5 or 9 respectivly they should = 1

therefore 0.999... = 1


but its still doesnt becuase 0.333... isnt 1/3 that why it goes on forver cos it can never quite be 1/3 same as 0.999... will never quite be 1


niether are real numbers but just representations of fractions



which is why 0.999... = 1 as it only ever comes about when multiplying frations to a degree that should = 1






this is why fractions shouldn't be decimalised

 

[old.Tohtori]

Who's saying that number is a fraction?

In any case, i'm not analyzing it, i'm giving alternatives to reasons "why like this".

 

[gohan]

Who's saying that number is a fraction?

In any case, i'm not analyzing it, i'm giving alternatives to reasons "why like this".

well that number is a fraction.... the fraction is 1


which is why 0.999... = 1



but as i said before its only due to frations not working as decimals

0.999... will only come about when 1 should be in its place, and its will be due to muliplying numbers like 0.111... 0.333... and 0.666... which are inacurate representations or the fractions 1/9 1/3 and 2/3

to 0.999... is an inacurate representation of 1

 

[noblok]

But it is a real number. It doesn't end, but it's an actual number.

 

[gohan]

But it is a real number. It doesn't end, but it's an actual number.

it's not


you can't use it in any type of maths which is why its just 1, also because it should be 1


if it were a real number if most certainly wouldn't be 1 cos then it would be its own number

 

[tris-]

think of it like this. You cannot have an idea which is infinite, but you can divide it in to an infinite number of parts. 1 is the idea we have in mind, and the infite number of parts is 0.99....
You cannot imagine a line of infinite length (try it) but you can divide that line an infinite number of times in to ever small parts, even if you cannot distinguish the seperate parts from each other.

I dont know jack or shit about mathematics except some basic scientific maths ive done at uni, but that is how id look at it.

just waiting for noblok to shoot me due to my noob philosophical skillz

 

[Elvo^Rylu]

/wave elvo ;>

Didn't i send you a postcard once? xD


One could also use the argument that 1 is a natural number, which is a subdomain of the real numbers, which both 0.999... and 1 is part of.

The fuss about all this actually lies in the faultyness of the non-rational numbers, as have been said earlier. Most people who have done math or physics projects will have experienced varying results, due to people not using rational numbers for their results ("Cause it looks nice").

The non-rational numbers are subject to the Archimedean property.

Roughly speaking, it is the property of having no infinitely large or infinitely small elements

In theory: 0.999... = 1
In reality: 0.999... != 1
Combine theory and reality for one fucked up discussion

 

[CorNokZ]

1 = 0.99999999...



ya'll be posting in a troll thread

 

[aika]

1= 0.999999... = limit of sin(x)/x when x goes to infinity.
prove me wrong

 

[old.Tohtori]

Simple way to do it is by deduction;

Deduct 0.333n from 1.
Then deduct another 0.333n.
And one mroe 0.333n.

You can't say that the 1 is completely gone.

If you took 1/3 out of 1, that's an absolute, but 1/3 is not 0.333n. Even if it is.

 

[Wonk]

0.9999 + Ω = loooooooooots of chicks.

 

[gohan]

Simple way to do it is by deduction;

Deduct 0.333n from 1.
Then deduct another 0.333n.
And one mroe 0.333n.

You can't say that the 1 is completely gone.

If you took 1/3 out of 1, that's an absolute, but 1/3 is not 0.333n. Even if it is.

yep exactly what ive been saying, have a back up rep

 

[Golena]

Simple way to do it is by deduction;

Deduct 0.333n from 1.
Then deduct another 0.333n.
And one mroe 0.333n.

You can't say that the 1 is completely gone.

If you took 1/3 out of 1, that's an absolute, but 1/3 is not 0.333n. Even if it is.

But the one doesn't need to go because it doesn't actually exist is probably the best way of actually expressing it in english. It's like that proverbial pot of gold at the end of the rainbow that you also can't reach since as you walk towards it it's still always the same distance away.

Since the 1 doesn't actually ever exist as you can't get there you are left with nothing, so the numbers must be equal. The one exists just past inifinity which is no longer in this universe. So maybe 0.999... doesn't equal 1, but you have to leave the universe in order for that matter. Since i'm actually quite attached to this universe at the moment i'm going to view them as equal.

The people arguing they are different are I think not understanding what infinity means (certainly in a maths sense) and applying the view that it's very big, not infinite. therefore not actually realising what 0.999... actually represents. It's not a 0 followed by a dot then lots of 9's. If you believe that then you've actually looked at the word grasshopper and are now arguing that grass != the insect, which while true isn't actually what was stated at the start.

 

[old.Tohtori]

Ok, so the 0.999n isn't possible due to infinity, yet pi is happily pooping out numbers?

 

[Jarahl]

Christ, this is something my old math teacher would wank over, but seriously who the fuck cares.

Stop fucking with simple peoples minds, 0,99999 recurring will only equal 1 if you are a nerd, if you are normal it will always only be close to 1

 

[old.Tohtori]

Stop fucking with simple peoples minds, 0,99999 recurring will only equal 1 if you are a nerd, if you are normal it will always only be close to 1

Much like you and women eh? Always so damn close, but never on one

 

[Jarahl]

Much like you and women eh? Always so damn close, but never on one

Seel do you not remember the pictures I posted of my woman??

You deemed me worthy

 

[old.Tohtori]

Seel do you not remember the pictures I posted of my woman??

You deemed me worthy

Hey, you may have one, but doesn't mean you know how to use one

All in good fun.

 

[mooSe_]

Ok, so the 0.999n isn't possible due to infinity, yet pi is happily pooping out numbers?

Finding the 1 at the end of the 0.000...1 in your previous calculation is like trying to guess what the last digit of pi will be.

 

[Jarahl]

Hey, you may have one, but doesn't mean you know how to use one

All in good fun.

I used her twice today already

 

[CorNokZ]

She does your dishes TWICE a day!?

 

[old.Tohtori]

Finding the 1 at the end of the 0.000...1 in your previous calculation is like trying to guess what the last digit of pi will be.

True, but it shows that infinity isn't such an impossible concept in math.

 

[Huntingtons]

You cannot imagine a line of infinite length (try it)

oh shit i just did

 

[tris-]

oh shit i just did

Dont believe you!

 

[Overdriven]

Finding the 1 at the end of the 0.000...1 in your previous calculation is like trying to guess what the last digit of pi will be.

Probably will be an odd number. 1,3,5,7 or 9.

 

[Bahumat]

She does your dishes TWICE a day!?

hehe