Fermer

Login

You've been logged-out from spontex.

Authenticate

Your spontex.org account




Or




New here?
Create your account in a single clic


   
  
  
  
You are done! (oui, on vous demande SEULEMENT ça : login / MDP. Le reste, on s'en fout !)
Validate:


Données personnelles ?

Information on this website is public but you have to be logged-in to share. Login, means "give a username and a password". Then, you'll be able to fill some more but nothing is mandatory. If you can read this, it means you clicked on something restricted to logged-in. NOBODY DIED registring here. If you wish not to register, feel free, but don't click on that link again :-)

Titre
Please share those informations... but do not forget to add a link to spontex!
you should never read that.
Infinite number
By Smile (Translasted by Beri) - Aug. 19, 2010   


+51
5 comments Spincredible!
Spitiful.

0.9999999… (with an infinite amount of 9) equals 1.

Details:

Doubting ? Here is the mathematical proof:


1/3 = 0.333333...
Statement A: 3 x (1/3) = 3 x 0.333333...
Statement B: 3 x (1/3) = 1
A implies 3 x 0.333333... = 0.999999...
A = B implies 0.999999... = 1
Sources:

2 = 4.
Other mathematical proofs can be found in the commentaries on the french version of this DYK.


Native english ?

Spontex needs you to correct grammar in translations. Please login and help in translations validation.
If this translation is not that good, please feel free to add a comment improving it !


wfherschy
wfherschy - June 24, 2011 - 05:45 - (link to the comment)

This is not true…think about it. If there is an infinite number of 9s, that means that the string of 9s goes on forever – and though we can round it up for theoretical purposes it is not a literally equality.

Well said!    (2)    Bah.


Dauby
Dauby - June 24, 2011 - 12:32 - (link to the comment)

In order to preserve the team's health, we advise you to take a look on the french version of this DYK and its (numerous) comments.

Well said!    (0)    Bah.


tokogod
tokogod - July 19, 2011 - 02:05 - (link to the comment)

I knew that since I was 13

Well said!    (0)    Bah.


BloodyT
BloodyT - Nov. 27, 2011 - 16:03 - (link to the comment)

this proof given isn't very good, as all would need argued is 1/3 simply cant be truly expressed in decimal form and 0.3333~ is just the closest interpretation… the proof i tend to use is:
.999999~ * 10=9.999999~
9.9999~ – .9999999~ = 9 (truncating the decimals off)
however none of these proofs are truly proof, cause one could argue that 9.9999999~ represents 9.999~ – 0.00000~9(IE 1 decimal place shy of infinity)

however it should just be accepted as true, because there are no 'ways' to get .3333333~(aside from assuming 1/3 actually does equal it, or starting with it, or another repeating decimal)... there is no harm in using it, but to some (including computers), it makes things easier…

I've ran through at-least 20 different 'proofs', seeing the logic behind them none actually convincing me anything beyond accept it because it doesn't 'break' Our math..

Well said!    (3)    Bah.


mansuetus
mansuetus - Nov. 29, 2011 - 17:26 - (link to the comment)

this proof given isn’t very good

Indeed : the point was to have something “easy to read”. A nicer proof would be “if the two numbers weren't the same number, there should exist one given number separating them”.

Or this “trivial when you have learnt limits” :

0. 99999999… = Lim (x—>+oo) 1 – 1/(10^x) = 1

(and your maths teacher would have beaten you up when you have written Lim (whatever) ~ = (something) : Limit equals )

Well said!    (0)    Bah.


Add a new comment


Clic here to submit a new comment.