Math:
9 * 1/9 = 9/9 = 1
0,111 * 9 = 0,999
1/9 * 9 = 0.111inf * 9 = 1
So, Where does the 0,0..01 come?
How can infinity just magically grant you something worth something?
This really bugs me.
Advanced/Theroretical Math: infinity mocks me?
Details:
Answers (2)
1/9 is an irrational number and cannot be expressed accurately as a decimal. "0,111inf" is, in essence, equal to "1/9". There's no extra 0,0000...01 being added in the same way that 1/9 has no extra 0,0000...01 hidden somewhere.
Don't think of "0,111inf" as 0,111111111111111111111111111... but rather as 1/9.
Correct except 1/9 is not an irrationall number.
An irrational number does not repeat itself and you cannot get an irrational number by multiplying, dividing, subtracting, or adding any combination of rationall numbers.
to get an irrational number you generally have to take a square root.
To explain the answer think of it this way:
.1111111111111111111111111111111111111111111111... *9
would be =
.999999999999999999999999999999999999999999999...
Now as you keep adding 9's you are getting closer and closer to 1 this is actually a limit problem that states as the number of decimations approaches infinity the value approaches 1 thus @ .99999.... = 1