/sci/ - Science & Math

1/3 s 0.33333... repeating to the infinity. We write 0.3 with a line on top.

Here another demonstration of why 0.99999...=1 :

Let's a=0.99999...
10a=9.999999
10a=9+a
9a=9
a=1
0.99999...=1

>>14507076
>what is a ratio but the division between two numbers.
It's the number of times one value is contained in the other and because that "number of times" is "undefined" it's neither "number" nor fulfills the requirements of a "ratio" (for how can it since the "number of times" is not "of number"?) It's "undefined", to then recognize this as a number would be to violate/contradict the purpose of math. Pedantic but true, that's why we use a symbol to EXPRESS what it represents and leave it up to whoever to assume/estimate whatever "value" that is (engineer jokes go here). Or when writing a "quantity" we put a little symbols that signify we're trying our hardest to use math but really you're not gonna get there with math.