The Sonic Center
The Lounge => Wikkity! => Topic started by: cake on November 13, 2006, 05:17:35 pm
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Its true look at the facts if there is not a number in between it its there for the same number! Lets discuss that right here. I think its the same also on a calculator if you put in .99999999999= it will say 1. If the 999999999 goes on foreever it is 1 in a way if you think of the 9 never stoping. Post your opinions/comments/ect.
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Yes, it's a mathematical fact - the proof is somewhere in my 2nd year maths notes. Not sure how I'm supposed to have an opinion on it though, other than computers doing that kind of rounding usually break (floating point precision errors ftl).
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Well done, you recited a mathematical identity. Go claim a BOAT.
*loc- Oh wait. I never got red in a game so I am not a mod.
ps. tan x = sin x / cos x SCANDAL
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n+n=2n
SHOCK
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n+n=2n
SHOCK
Don't be stupid. Get out of my rhombus.
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duh
1/3 * 3 = 1
1/3 = 0.333...
0.333... * 3 = 0.999...
Therefore 0.999... = 1
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I never thought of it that way... >_>
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0.3333... is equal to a third, but that assumption is the same as that 0.9999... is equal to one, so you can't prove one by the other. I should go dig out the correct proof, but I really can't be bothered to plough through those notes again <_<
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Look at it this way. The calculator sez .999999999(etc.)=1 bcoz it cant handle that many decimals and is forced to round. Truly, as .999999(etc.) is so close that it may seem like one, you must take into note that there is the .000000(equal to however many 9s, which is infinite)1 between. if you've heard of zeno's paradox u might kno what im sayin. now please make the sonic center the sonic center, and stop discussing math!
Last thing i'd expect to post about
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I know but its Swigglez so we can... anyway I there is no number inbetween .9999999 and 1 they are the same numbers!!!
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Look at it this way. The calculator sez .999999999(etc.)=1 bcoz it cant handle that many decimals and is forced to round. Truly, as .999999(etc.) is so close that it may seem like one, you must take into note that there is the .000000(equal to however many 9s, which is infinite)1 between. if you've heard of zeno's paradox u might kno what im sayin. now please make the sonic center the sonic center, and stop discussing math!
Last thing i'd expect to post about
Not true, 0.99 recurring is mathematically equal to 1.
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SilvertheAlmighty steals the 'dumbest in topic' award from the topic starter.
For more information, see http://en.wikipedia.org/wiki/0.999... (http://en.wikipedia.org/wiki/0.999...).
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Zeno's Paradox:
A turtle is situated a certain distance from a tree. He makes several trips to reach the tree. In each trip, he covers 1/2 the distance left to the tree. How many trips will it take him?
This may seem irrelevant, but answer, and I'll show you.
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if .9999 repeated = n, then 10 n = 9.9999999 repeated, right?
this makes 10n=9.9999999999 etc.
subtract n from each. You can do this becasue the subtraction property of equality.
9n=9 then. Divide each side by 9, as the division property of equality says we can.
n=1.
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Damnit. That was what I was thinking of but I couldn't remember how to get 10n to be what you wanted.
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That further tells why we are right it is a FACT not an opinion. Its the same as 0.33333 if you add that it will be .9999999999 but that will be the same as saying it is 1.
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1010 x 1010 = 100.
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Zeno's Paradox:
A turtle is situated a certain distance from a tree. He makes several trips to reach the tree. In each trip, he covers 1/2 the distance left to the tree. How many trips will it take him?
This may seem irrelevant, but answer, and I'll show you.
I am familiar with this paradox. It is not Zeno's only paradox, and I am also familiar with the others. This one, in particular, is mathematically flawed. The sum of the infinite series 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + ... etc is 1. The only case that it is any less than 1 is when you do not have an infinite number of terms. When it is less than 1, it will also be less than 0.999..., as there will be a finite number of decimals given the nature of each fraction (not to mention that 0.999... = 1).
Zeno's paradoxes are great, however if you are going to take them as mathematically and physically seriously as you seem to be, then you might want to steer clear of his paradox that states that there is no motion.