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Re: .999~ = 1
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well, for those who still have doubts about the difference between the number. first of all, because i am too lazy to find the alt + some odd number to find a 9 with a repeating symbol above it, yes i did use .999~ to represent an infinite amount of 9's, so that the only numerical difference between .999~ and 1 is .000~1, which is an infinitesimly small amount, and therefore in math, ignored.
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That works for all sciences. I forgot the method of rounding but it really would not matter what decimal place .999999999999 is rounded to since it rounds directly up to 1.
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