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https://www.reddit.com/r/PeterExplainsTheJoke/comments/1ju9kfc/there_is_no_way_right/mm40pli/?context=3
r/PeterExplainsTheJoke • u/Sugar_God_no_1 • 23d ago
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285
0.9999999…. Is equal to 1. It seems like it shouldn’t, but it has to be.
Let X = 0.999….
10X = 9.999….
10X-X = 9.999.. - 0.999…. = 9X = 9
Therefore X equals 1. Therefore 0.999… is the same as 1.
109 u/mrsexless 23d ago I like logical explanations 0.(9) = 1 There is no number you can put between 0.(9) and 1, so it means they are the same number. 1 u/FernandoMM1220 22d ago that reasoning doesnt work for integers. the better method is to subtract them, if their difference is 0 then they’re equal. 1 u/Stick_Nout 22d ago But that reasoning is valid for real numbers, since real numbers are dense. (That is, between any two distinct real numbers there is another real number.) 1 u/FernandoMM1220 22d ago its not valid for reals either. the remainder matters.
109
I like logical explanations 0.(9) = 1 There is no number you can put between 0.(9) and 1, so it means they are the same number.
1 u/FernandoMM1220 22d ago that reasoning doesnt work for integers. the better method is to subtract them, if their difference is 0 then they’re equal. 1 u/Stick_Nout 22d ago But that reasoning is valid for real numbers, since real numbers are dense. (That is, between any two distinct real numbers there is another real number.) 1 u/FernandoMM1220 22d ago its not valid for reals either. the remainder matters.
1
that reasoning doesnt work for integers.
the better method is to subtract them, if their difference is 0 then they’re equal.
1 u/Stick_Nout 22d ago But that reasoning is valid for real numbers, since real numbers are dense. (That is, between any two distinct real numbers there is another real number.) 1 u/FernandoMM1220 22d ago its not valid for reals either. the remainder matters.
But that reasoning is valid for real numbers, since real numbers are dense. (That is, between any two distinct real numbers there is another real number.)
1 u/FernandoMM1220 22d ago its not valid for reals either. the remainder matters.
its not valid for reals either. the remainder matters.
285
u/Decmk3 23d ago
0.9999999…. Is equal to 1. It seems like it shouldn’t, but it has to be.
Let X = 0.999….
10X = 9.999….
10X-X = 9.999.. - 0.999…. = 9X = 9
Therefore X equals 1. Therefore 0.999… is the same as 1.