1/3=0.333… 2/3=0.666… 3/3=0.999…=1
Comment on I just cited myself.
ColeSloth@discuss.tchncs.de 1 week agoIf you can’t do it without fractions or a … then it can’t be done.
WldFyre@lemm.ee 6 days ago
ColeSloth@discuss.tchncs.de 6 days ago
Fractions and base 10 are two different systems. You’re only approximating what 1/3 is when you write out 0.3333…
The … is because you can’t actually make it correct in base 10.
WldFyre@lemm.ee 6 days ago
The fractions are still in base 10 lmfao literally what the fuck are you talking about and where are getting this from?
You keep getting basic shit wrong, and it makes you look dumb. Stop talking and go read a wiki.
myslsl@lemmy.world 6 days ago
What exactly do you think notations like 0.999… and 0.333… mean?
ColeSloth@discuss.tchncs.de 6 days ago
That it repeats forever, to no end. Because it can never actually be correct, just that the difference becomes insignificant.
apolo399@lemmy.world 6 days ago
Sure, let’s do it in base 3. 3 in base 3 is 10, and 3^(-1) is 10^(-1), so:
1/3 in base 10 = 1/10 in base 3 0.3… in base 10 = 0.1 in base 3
Multiply by 3 on both sides:
3 × 0.3… in base 10 = 10 × 0.1 in base 3 0.9… in base 10 = 1 in base 3.
But 1 in base 3 is also 1 in base 10, so:
0.9… in base 10 = 1 in base 10
ColeSloth@discuss.tchncs.de 6 days ago
You’re having to use … to make your conversion again. If you need to to an irrational number to make your equation correct, it isn’t really correct.
Bertuccio@lemmy.world 6 days ago
We’ve found a time traveller from ancient Greece…