Comment Re:This is second place (Score 1) 1260
The questions can get more complex, though... repeating numbers an infinite number of times is problematic simply because infinity is problematic - at least to wrap your head around, as it's not quantifiable. I.e. you can't say 'infinity - infinity == zero'.
My aunt is a substitute teacher and I've seen her throw this one at kids in 'basisschool' (elementary school, of sorts, ages 4-13 or so.. yes, the demonstration (not proof) that 0.99(9) == 1 was given to kids back then) just before the summer recess ('zomervakantie') as a parting gift to torment their minds if you will...
If 0.99(9) == 1.. then what happens if you add 0.00(0)1?
Or spoken out in words, as the notation above may be incorrect (similar to the notation "0.000...1")
If you have the value zero point nine nine nine nine nine nine and so on an infinite number of times, and you add a value of zero point zero zero zero zero and so on an infinite number of times -followed by- a 1.. what value do you get?
You might see a bunch of kids trying to argue that 0.99(9) is in fact not 1 (completely discarding the proof offered just minutes before), but that it simply approaches 1, and 0.00(0)1 is not zero but just approaches zero, "and thus.. uhm.." and their head explodes
For what it's worth.. I was as confused as those kids, discarded the question swiftly, and resumed packing my aunt's stuff in the car for her vacation.