A community for students.
Here's the question you clicked on:
 0 viewing
AmTran_Bus
 2 years ago
Prove .99999999999999999999999999999999999999999999999999999 equals 1.
AmTran_Bus
 2 years ago
Prove .99999999999999999999999999999999999999999999999999999 equals 1.

This Question is Closed

yummydum
 2 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
 2 years ago
Best ResponseYou've already chosen the best response.0Good job! Now try .9 repeating!

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

asnaseer
 2 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
 2 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
 2 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
 2 years ago
Best ResponseYou've already chosen the best response.010=9.99999999 on and on

asnaseer
 2 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
 2 years ago
Best ResponseYou've already chosen the best response.1and what is 0.999.... (look at how we started the proof)

asnaseer
 2 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
 2 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
 2 years ago
Best ResponseYou've already chosen the best response.1thats basically exactly what we have done :)

phi
 2 years ago
Best ResponseYou've already chosen the best response.0yes, just wanted it all in one post for other readers
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.