@[email protected]M to Science [email protected]English • 4 days agoI just cited myself.mander.xyzimagemessage-square222fedilinkarrow-up1815arrow-down141cross-posted to: chonglangtv
arrow-up1774arrow-down1imageI just cited myself.mander.xyz@[email protected]M to Science [email protected]English • 4 days agomessage-square222fedilinkcross-posted to: chonglangtv
minus-square@apolo399linkEnglish1•edit-23 days agoSure, 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
minus-square@[email protected]linkfedilinkEnglish-2•3 days agoYou’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.
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
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.
Do you know what an irrational number is?