1/3=0.333… 2/3=0.666… 3/3=0.999…=1
Comment on I just cited myself.
ColeSloth@discuss.tchncs.de 4 months agoIf you can’t do it without fractions or a … then it can’t be done.
WldFyre@lemm.ee 4 months ago
ColeSloth@discuss.tchncs.de 4 months 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 4 months 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 4 months ago
What exactly do you think notations like 0.999… and 0.333… mean?
ColeSloth@discuss.tchncs.de 4 months ago
That it repeats forever, to no end. Because it can never actually be correct, just that the difference becomes insignificant.
apolo399@lemmy.world 4 months 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 4 months 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 4 months ago
We’ve found a time traveller from ancient Greece…