.9 Repeating

[Keefe]

not .9, .9 repeating

.9 repeating is still not 1 it is .0 repeating 1 away from being 1.  If you calculate to 10 decimal places and have .9999999999 you would need to add .0000000001 to it to have 1.  If .9 repeating was one it would be called one.  One number cannot equal another.  1/3rd is actually .3 repeating.  It adds up to .9 repeating not 1 if you want to be technical.  We have always rounded it to keep things simple.  

same as if you do 2 / 3 = .6 repeating

.6 repeating x 3 = 1.8 repeating

repeating numbers suck in general

In general it's all crap ppl
As my physics teacher used to say : "Throw away your calculators" (That's because he calculated anything in mind before the dumbs even pressed the = button)

stick to simple fractions

0.3~ x 3 = 9.9~ and not to 1

1/3 is not equal to 0.3~ !

because you can say 0.3~ is 0.33333
and you can say it's : 0.3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333...
or you can even say it's :
0.333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 3...


you cannot have one number equal to 2 or more different numbers at the same time

and again 9.9~ - 0.9~ is not equal to 9

Simple is beautiful
Cheers

[vee_ess]

yeah, 9.9~ - .9~ is not 9 but 9.0~9 cuz if you were to actually do it you'd have to keep the same number of sig figs. 1/3 is .3~, but you cannot show it as .3~ as .333 or .33333 or any number of 3's after that in mathematical equations because then, you not to add another3 at the end, and then another, then another. if you were to actuallly take .3~ it would add up to 1, but you cannot show it by hand cuz you will be doing it infinitely. .9~ is not 1, 1-.9~ = .0~1, cuz it is infinitely close to 1. and by all real world applications, we will use 1, like we use 3.14 or 22/7 for pi, which is another one that goes on infinitely.

so for those who say .9~ is 1 , then is 3.1415927 the same as 3.14 or is 3.14 the same as pi? he he he, tell people that, and they will laugh.

Pi = ~ sqrt 10
Pi^2 ~ 10

just a tip for easier calculations

[vee_ess]

my calc says that is closer to 3.16

Youz guys are making my head hurt! ;D

[vee_ess]

doesn't it feel good?

One cannot say that two different numbers are equal, but I claim that .9 repeating and 1 are the same number, and therefore equal. 1 - .9 repeating equals 0, not 0.(infinite zeroes)1, because you can't have a number after an infinite number of zeroes, because then they wouldn't be infinite. I'm not saying that pi terminates , I don't know what that has to do with anything. And if anyone cares to learn about limits, .9 repeating can be stated as a convergent series ((10^n) -1)/(10^n), and as n approaches infinity, it converges to the limit 1, which can be proved to exist, and therefore the series reaches 1 with enormous values n. Q.E.D.