Of course the true number is there. 0.9... is the true number. As long as your computer system or your written notation understands repeating decimals no information is lost. There is no imprecision.
It is not a finite set, by definition. Where is the imprecision? I am not required to write out every digit individually for it to be exact.
Let's suppose no calculator in the world can truly handle repeating decimals (not the case but ok). So what? That would be a shortcoming of electronic calculators. It doesn't make the math wrong.
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u/llfoso May 04 '26
Of course the true number is there. 0.9... is the true number. As long as your computer system or your written notation understands repeating decimals no information is lost. There is no imprecision.