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 Originally Posted by seven-deuce
Does this just mean any number that ends in a recurring 9 is the same as the next integer up like 5.999999... = 6?
Yes. any number that terminates, like 0.25 = 0.24999... has this form.
Originally Posted by seven-deuce
Also - See in your 1/12 example the way 1/12 = 0.08333 there is a recurring 3 and you can multiply to end up with a recurring 9, what if you had a number that ended in recurring 2 or 4 like 0.082222 or 0.084444 you cant multiply them to get a recurring 9?
I can multiply them by 9/2 and 9/4, respectively.
Originally Posted by seven-deuce
What does that mean then?
That, in math, we start with remarkably simple principles (like the successor function) and by application of logic, we find vast worlds of unexpected, interesting things.
Or it means nothing. Meaning is in the mind of the beholder.
So numbers have 2 names? Numbers are an invention of a mind, a symbolized representation of abstract ideas like single-ness and identity, and counting. Numbers are fabrications that, really, only describe the world to us, they do not exist in the world, as such.
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