this doesn't make sense to me, smart people? (infinity)

[oskar]

They should make it an exercise in math class to make kids comfortable with that kind of stuff to just complicate everything into infinity, like:

2=1+1
2 = (0.999...)+((0.666)+(0.333...))
2 = (0.999...)+((0.666)+(0.333...)) / ((0.333...)+(0.666...)
(sqrt2)^2 = (0.999...)+((0.666)+(0.333...)) / ((0.333...)+(0.666...)
sqrt[[sqrt2]^2] = sqrt[(0.999...)+((0.666)+(0.333...)) / ((0.333...)+(0.666...)]
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[kiwiMark]

They should make it an exercise in math class to make kids comfortable with that kind of stuff to just complicate everything into infinity, like:

To be honest I don't think it's missing content in math class but rather exactly because of the content that was in math class. As I say, in linear algebra it was always drilled into us that a curve and its asymptote never touch, because while 0.99999 gets closer to 1 with the more 9s you add on, it never actually reaches it. Now we're turning around and saying in other branches of maths this is handled differently.

You're right on the break front for sure