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1 is equal to .999999999....


canucks#01fan

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I am not one person, but .9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 persons.

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  • 1 year later...

so, the richest guy that ever existed dies

he's was worth exactly 1 googolplex in $

he had 3 heirs that each were to get an equal share

after dividing up the money equally there was a penny left over.

there's a penny leftover because the fortune was rounded to the nearest hundredth. all of the numbers before the decimal point are actually irrelevant to this discussion

i agree that 1/3 isn't = 0.33 but it is = to 0.3 repeated

there's various ways to show this algebraically but the easiest may be by using the sum of an infinite geometric series:

0.3… can be represented as a geo series where the first term (a) is equal to 0.3 and the geometric ratio is 0.1

think of it as 0.3 + 0.03 + 0.003 + ….

the sum of an infinite geometric series where r<1 is S = a / (1- r); subbing in we get 0.3 / (1 - 0.1) which equals 1/3

you can't argue with math, my friend

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