this post was submitted on 27 Jun 2024
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[–] ArchAengelus@lemmy.dbzer0.com -1 points 8 months ago (1 children)

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 1 points 8 months ago* (last edited 8 months ago) (1 children)

The context doesn't make a difference

In base 10 --> 1/3 is 0.333...

In base 12 --> 1/3 is 0.4

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 -1 points 8 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.