Raymond B. answered • 02/08/22
Math, microeconomics or criminal justice
maybe
why is 1 = 0.999... where the 9's go on forever?
there is an infinitesimal difference but 1/infinity = 0, so there is no difference
an integer = a repeating decimal fraction
an integer = a proper fraction. or is it proper? at least an integer = a fraction, proper or improper.
then 3 = 2.999...
and 1 = 0.999...
3 is 3 times 1, so 2.999... is 3 times 0.999...
so 3 times .999... = 2.999....7 with a 7 at the end of an infinite repeating 9
so 2.999...7 = 2.999... with no 7 at the end?
and 2.999...7 = 3 = an integer
8.999...is 9 times 0.999...
9 times 0.999... = 8.999....2
so 8.999...9 = 8.999...7 = 8.999...2
so 0.000...9 = 0.000...7 = 0.000...2
and 9 = 7 = 2 which is a contradiction and impossible.
where does this go wrong? an integer = an infinite number of fractions? and all integers = an infinite number of fractions, seemingly proper fractions.
while they may seem to be real fractions. they're "really" surreal fractions. Infinity and infinitesimals (1/infinity) are surreal and not real numbers or real fractions.
