Comment on Kid gave a reasonable answer without all the math bullshit
axEl7fB5@lemmy.cafe 1 day agoNo because you said this:
If you want to precisely write to infinity you write 1/3.
You can also precisely write to infinity if you write 0.333…
Comment on Kid gave a reasonable answer without all the math bullshit
axEl7fB5@lemmy.cafe 1 day agoNo because you said this:
If you want to precisely write to infinity you write 1/3.
You can also precisely write to infinity if you write 0.333…
Knock_Knock_Lemmy_In@lemmy.world 1 day ago
The fraction 1/3 is a compact and unambiguous representation—it doesn’t rely on an ellipsis or an understanding of infinite series to be interpreted. It can easily be used in later calculations (you never see … notation in algebra). It is a useful notation.
As soon as you use decimals in computer and human calculations, they become lossy.
I’m not really sure what hill you are trying to die on. Fractions are useful, even if you don’t know how to use them.
axEl7fB5@lemmy.cafe 1 day ago
What does lossy mean? I’m not trying to die on any hill, but I’m quite confused aswell.
Knock_Knock_Lemmy_In@lemmy.world 1 day ago
By lossy I mean rounding errors. Try to combine 2 or more recurring decimals in any function and you start loosing accuracy.
Mathematicians rarely use decimals (also they rarely use numbers). Everything stays in fractions. Maybe the very last step is delivered as a decimal, but rarely.