this post was submitted on 19 Dec 2024
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[–] very_well_lost@lemmy.world 9 points 1 week ago (1 children)

What? That's not true at all...

[–] swab148@lemm.ee 3 points 1 week ago (5 children)
[–] Gobbel2000@programming.dev 7 points 1 week ago

Writing the same number a different way does not make it rational. There are no two natural numbers p and q so that p/q = 1 base pi.

[–] very_well_lost@lemmy.world 5 points 1 week ago

Even in base π, π is still considered an irrational number; using an irrational based doesn't change the fundamental identity of whole numbers or irrational numbers, it just changes the way we write them.

[–] wewbull@feddit.uk 2 points 1 week ago* (last edited 1 week ago)

1 is always 1. It's 1 × b⁰ where b is the base. Anything raised to the zeroth power is 1.

10 is the base. 1 × b¹ + 0 × b⁰

[–] Redjard@lemmy.dbzer0.com 2 points 1 week ago

π = 10

in base 10, 10 = 10.

[–] mexicancartel@lemmy.dbzer0.com 2 points 1 week ago* (last edited 1 week ago)

That doesn't make it rational but simply makes it writable in 2 digits(10)

Also you should have 3.1415... "number of characters" in that base... The base becoming irrational will make the number irrational