You’re just rounding up an irrational number. You have a non terminating, non repeating number, that will go on forever, because it can never actually get up to its whole value.
Comment on I just cited myself.
Shampiss@sh.itjust.works 5 months agoDivide 1 by 3: 1÷3=0.3333…
Multiply the result by 3 reverting the operation: 0.3333… x 3 = 0.9999… or just 1
0.9999… = 1
ColeSloth@discuss.tchncs.de 5 months ago
WldFyre@lemm.ee 5 months ago
1/3 is a rational number, because it can be depicted by a ratio of two integers. You clearly don’t know what you’re talking about, you’re getting basic algebra level facts wrong. Maybe take a hint and read some real math instead of relying on your bad intuition.
ColeSloth@discuss.tchncs.de 5 months ago
1/3 is rational.
.3333… is not. You can’t treat fractions the same as our base 10 number system. They don’t all have direct conversions. Hence, why you can have a perfect fraction of a third, but not a perfect 1/3 written out in base 10.
WldFyre@lemm.ee 5 months ago
0.333… exactly equals 1/3 in base 10. What you are saying is factually incorrect and literally nonsense. You learn this in high school level math classes. Link literally any source that supports your position.
pyre@lemmy.world 5 months ago
.333… is rational.
at least we finally found your problem: you don’t know what rational and irrational mean. the clue is in the name.
pyre@lemmy.world 5 months ago
non repeating
it’s literally repeating
ArchAengelus@lemmy.dbzer0.com 5 months ago
In this context, yes, because of the cancellation on the fractions when you recover.
1/3 x 3 = 1
I would say without the context, there is an infinitesimal difference. The approximation solution above essentially ignores the problem which is more of a functional flaw in base 10 than a real number theory issue
Shampiss@sh.itjust.works 5 months ago
The context doesn’t make a difference
In base 10 --> 1/3 is 0.333…
In base 12 --> 1/3 is 3
But they’re both the same number.
Base 10 simply is not capable of displaying it in a concise format. We could say that this is a notation issue. No notation is perfect. Base 10 has some confusing implications
ColeSloth@discuss.tchncs.de 5 months ago
They’re different numbers. Base 10 isn’t perfect and can’t do everything just right, so you end up with irrational numbers that go on forever, sometimes.
chaonaut@lemmy.world 5 months ago
This seems to be conflating
0.333…3
with0.333…
One is infinitesimally close to 1/3, the other is a decimal representation of 1/3. Indeed, if1-0.999…
resulted in anything other than 0, that would necessarily be a number with more significant digits than0.999…
which would mean that the…
failed to be an infinite repetition.