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AmTran_Bus
 3 years ago
Prove .99999999999999999999999999999999999999999999999999999 equals 1.
AmTran_Bus
 3 years ago
Prove .99999999999999999999999999999999999999999999999999999 equals 1.

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yummydum
 3 years ago
Best ResponseYou've already chosen the best response.0that is false.....the number mentioned above ROUNDS UP to 1....meaning it is closer to one than it is to 0 :)

AmTran_Bus
 3 years ago
Best ResponseYou've already chosen the best response.0Good job! Now try .9 repeating!

yummydum
 3 years ago
Best ResponseYou've already chosen the best response.0its the exact same explanation thou stubborn being

asnaseer
 3 years ago
Best ResponseYou've already chosen the best response.1If you mean 0.999... (i.e. 9's repeating for ever) then this can be proved

asnaseer
 3 years ago
Best ResponseYou've already chosen the best response.1is this a challenge or are you looking for help in trying to prove it?

asnaseer
 3 years ago
Best ResponseYou've already chosen the best response.1ok, start by setting:\[x=0.999..\]Then see what happens if you multiply both sides by 10

AmTran_Bus
 3 years ago
Best ResponseYou've already chosen the best response.010=9.99999999 on and on

asnaseer
 3 years ago
Best ResponseYou've already chosen the best response.1correct  and now notice that 9.99... can be written as 9 + 0.999...

asnaseer
 3 years ago
Best ResponseYou've already chosen the best response.1and what is 0.999.... (look at how we started the proof)

asnaseer
 3 years ago
Best ResponseYou've already chosen the best response.1so you end up with: x = 0.999... 10x = 9.999... = 9 + 0.999... = 9 + x

phi
 3 years ago
Best ResponseYou've already chosen the best response.0how about x=0.9999... 10x= 9.9999... 10xx = 9 9x=9 x=1

asnaseer
 3 years ago
Best ResponseYou've already chosen the best response.1thats basically exactly what we have done :)

phi
 3 years ago
Best ResponseYou've already chosen the best response.0yes, just wanted it all in one post for other readers
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