Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Prove .99999999999999999999999999999999999999999999999999999 equals 1.
 one year ago
 one year ago
Prove .99999999999999999999999999999999999999999999999999999 equals 1.
 one year ago
 one year ago

This Question is Closed

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

AmTran_BusBest ResponseYou've already chosen the best response.0
Good job! Now try .9 repeating!
 one year ago

yummydumBest ResponseYou've already chosen the best response.0
its the exact same explanation thou stubborn being
 one year ago

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

asnaseerBest ResponseYou've already chosen the best response.1
is this a challenge or are you looking for help in trying to prove it?
 one year ago

AmTran_BusBest ResponseYou've already chosen the best response.0
I want to prove it.
 one year ago

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

AmTran_BusBest ResponseYou've already chosen the best response.0
10=9.99999999 on and on
 one year ago

asnaseerBest ResponseYou've already chosen the best response.1
correct  and now notice that 9.99... can be written as 9 + 0.999...
 one year ago

asnaseerBest ResponseYou've already chosen the best response.1
and what is 0.999.... (look at how we started the proof)
 one year ago

asnaseerBest ResponseYou've already chosen the best response.1
so you end up with: x = 0.999... 10x = 9.999... = 9 + 0.999... = 9 + x
 one year ago

phiBest ResponseYou've already chosen the best response.0
how about x=0.9999... 10x= 9.9999... 10xx = 9 9x=9 x=1
 one year ago

asnaseerBest ResponseYou've already chosen the best response.1
thats basically exactly what we have done :)
 one year ago

phiBest ResponseYou've already chosen the best response.0
yes, just wanted it all in one post for other readers
 one year ago
See more questions >>>
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.