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submitted 2 days ago* (last edited 2 days ago) by Ragdoll_X@lemmy.world to c/science_memes@mander.xyz
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[-] swab148@lemm.ee 3 points 2 days ago
[-] Gobbel2000@programming.dev 6 points 2 days 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.

[-] wewbull@feddit.uk 2 points 2 days ago* (last edited 2 days 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

[-] very_well_lost@lemmy.world 5 points 2 days 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.

[-] mexicancartel@lemmy.dbzer0.com 3 points 2 days ago* (last edited 2 days 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

[-] Redjard@lemmy.dbzer0.com 2 points 2 days ago

π = 10

in base 10, 10 = 10.

this post was submitted on 19 Dec 2024
621 points (96.7% liked)

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