fossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 5 months agoI just cited myself.mander.xyzimagemessage-square231fedilinkarrow-up1838
arrow-up1838imageI just cited myself.mander.xyzfossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 5 months agomessage-square231fedilink
minus-squareapolo399@lemmy.worldlinkfedilinkEnglisharrow-up2·edit-25 months 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-squareColeSloth@discuss.tchncs.delinkfedilinkEnglisharrow-up2·5 months 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.
minus-squareapolo399@lemmy.worldlinkfedilinkEnglisharrow-up4·5 months agoDo you know what an irrational number is?
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?