Why .999~ = 1
x = .999~
so 10x = 9.999~
9.999~ - .999~ = 9
but 10x - x = 9x
so 9x = 9, x = 1
Thus, x = .999~ = 1
x = .999~
so 10x = 9.999~
9.999~ - .999~ = 9
but 10x - x = 9x
so 9x = 9, x = 1
Thus, x = .999~ = 1
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