0.9999999999999 = 1

i.am.terror · Post by **i.am.terror** » Sat May 05, 2007 2:25 pm

http://en.wikipedia.org/wiki/.999_%3D_1

[quote]The equality has long been accepted by professional mathematicians and taught in textbooks. In the last few decades, researchers of mathematics education have studied the reception of this equation among students. A great many question or reject the equality, at least initially. Many are swayed by textbooks, teachers and arithmetic reasoning as below to accept that the two are equal. However, they are often uneasy enough that they offer further justification. The students' reasoning for denying or affirming the equality is typically based on one of a few common erroneous intuitions about the real numbers; for example, a belief that each unique decimal expansion must correspond to a unique number, an expectation that infinitesimal quantities should exist, that arithmetic may be broken, an inability to understand limits or simply the belief that 0.999

Tural · Post by **Tural** » Sat May 05, 2007 2:31 pm

Old.

1/3 = .3333333333333333333~
2/3 = .6666666666666666666~
(1/3) * 3 = .999999999999999999~
3/3 = 1 = .999999999999999999~

i.am.terror · Post by **i.am.terror** » Sat May 05, 2007 2:32 pm

yeah i know it's old but it's always good for some conversation. the board seems a little slow today.

noscottno · Post by **noscottno** » Sat May 05, 2007 2:33 pm

Yes it equals one.

i.am.terror · Post by **i.am.terror** » Sat May 05, 2007 2:43 pm

It's kinda like how 1/x can have a finite volume. It's basically that the incremental addition of each 10^-x is so small that it is effectively zero.

whatever i think math is teh awesome.

Altimit01 · Post by **Altimit01** » Sat May 05, 2007 2:58 pm

y = 1/x is by far one of the coolest functions ever when rotated around the x-axis. Finite volume but infinite surface area. 'course calculus is all about crazy assumptions like that. Add together an infinite amount of things with an infinitely small value (i.e. 0) to find a real value.

[cc]z@nd! · Post by **[cc]z@nd!** » Sat May 05, 2007 5:10 pm

well, if it's a float it does.

but then you just add .5 and typecast int.

JK-47 · Post by **JK-47** » Sat May 05, 2007 8:37 pm

Oh my god...

Big deal! It's not like you found the answer to life just because 0.9999999999999=1.