*Originally Posted by seven-deuce
Ok, i understand that 3/3=1 and 3 x 1/3 = 0.99999... so therefore 0.99999... must also equal 1.
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, but not just the integers. Like also 0.17999999999... = 0.18
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?
Yes, you can. Multiply 0.084444... by 2.25 and you get 0.1899999...=0.19.
What does that mean then?
Nothing. It's just two different ways of writing the same number or designating the same quantity. You could also write it in binary or in octal or hexadecimal: it would still be the same number.
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