anonymous
  • anonymous
Is 3/3 actually 1? Because she I add 33.3333%+33.3333%+33.3333%. You get 99.9999%.
Mathematics
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SOLVED
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chestercat
  • chestercat
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jjuden
  • jjuden
3/3 is 1 cause its a fraction
geerky42
  • geerky42
1/3 is NOT 33.3333% It is 33.3333333333333333333333333.... and so on forever
anonymous
  • anonymous
Well, \[\frac{ 1 }{ 3 }\] is a repeating decimal. So 33.3333% is an approximation.

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anonymous
  • anonymous
Ya but wouldn't the sum be 99.9999999repeating and never reach 100?
anonymous
  • anonymous
You raised a good point though since computer systems have to store repeating decimals as approximations in the form of a mantissa floating point, as per IEEE 754.
anonymous
  • anonymous
Ok cool, thanks.
geerky42
  • geerky42
There is argument that \(99.9999999999999999999999...\% = 100\%\) Or at least more commonly, \(0.999999999999... = 1\)
geerky42
  • geerky42
Well technically it IS 100%. Because otherwise THERE will be exists another value between 99.9999...% and 100%. What is this value? Not that I know of.
anonymous
  • anonymous
Ok cool thanks. :)
geerky42
  • geerky42
No problem.
freckles
  • freckles
\[x=.999999999999999999.... \\10x=9.99999999999999999999999........... \\ 10x-x=9 \\ 9x=9 \\ x=1\]

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