0.33333333 isn't the same as 1/3, if the number of 3's is not infiniteDarkMare said:There! I just took a few minutes to scan these 2 things for you guys now that I've finished my exams.
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And since you guys needed something that would seem weird (such as 4 = 5)... Here's this for ya!
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Notice that what that means is that 0.999999999999999... is EXACTLY (not approximately) the same thing as 1. Have fun!![]()
And what I mean there does have an infinite amount of digits. Hence the 0.999999... (I did forget to put the ... on the first line thoughRaistlin1980 said:0.33333333 isn't the same as 1/3, if the number of 3's is not infinite
I'll go and scan it for ya, be back in a few minutes.Raistlin1980 said:Yeah, but the second line:
0.999999... = 3 * 0.3333333...
is not correct. Why should it be like that?
It is correct, and here's the reason why.Raistlin1980 said:Yeah, but the second line:
0.999999... = 3 * 0.3333333...
is not correct. Why should it be like that?
Cool. *thinking*DarkMare said:It is correct, and here's the reason why.
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And thus, 0.9(9) = 0.3(3)
Yeah.. that's blatantly incorrectDarkmare said:And thus, 0.9(9) = 0.3(3)
That's why I solved that one correctlyMagSec4 said:well BodomiC was still arguing with you like a jackass.. but I think he gets it too afterall
Yeah.. that's blatantly incorrect
try again![]()
Yeah, you canRaistlin1980 said:Are you sure that you can apply that thing about 'Summatory(many things) = Summatory (thing1) + summatory(thing2) + etc' when dealing with infinities?
I'm not sure. There must be some theorem about that somewhere *searching*
<Monty Python>Oh yeah, you try that with a pineapple!</Monty Python>MagSec4 said:DarkMare:
uh.. no it isn't, you probably meant:
0.9(9) = 0.3(3) * 3![]()
Yes, i know what a summatory is. I just thought that there might be an error there, but i guess there weren't. Damn you, i won't be able to sleep tonight!DarkMare said:Yeah, you canBesides, the interior of the summatory is just an expression. What it means is that you sum an expression an infinite number of times.
Mwuahahahahahaha!Raistlin1980 said:Yes, i know what a summatory is. I just thought that there might be an error there, but i guess there weren't. Damn you, i won't be able to sleep tonight!![]()