AmTran_Bus
Prove .99999999999999999999999999999999999999999999999999999 equals 1.



This Question is Closed

yummydum
Best Response
You'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 :)

AmTran_Bus
Best Response
You've already chosen the best response.
0
Good job! Now try .9 repeating!

yummydum
Best Response
You've already chosen the best response.
0
its the exact same explanation thou stubborn being

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

AmTran_Bus
Best Response
You've already chosen the best response.
0
Go fir it!

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

AmTran_Bus
Best Response
You've already chosen the best response.
0
I want to prove it.

asnaseer
Best Response
You'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

AmTran_Bus
Best Response
You've already chosen the best response.
0
10x=0.999(10)

AmTran_Bus
Best Response
You've already chosen the best response.
0
or 9.999999999

AmTran_Bus
Best Response
You've already chosen the best response.
0
10=9.99999999 on and on

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

AmTran_Bus
Best Response
You've already chosen the best response.
0
right

asnaseer
Best Response
You've already chosen the best response.
1
and what is 0.999.... (look at how we started the proof)

AmTran_Bus
Best Response
You've already chosen the best response.
0
you mean =x?

asnaseer
Best Response
You've already chosen the best response.
1
perfect!

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

AmTran_Bus
Best Response
You've already chosen the best response.
0
ohhhhh. Thanks!!!

asnaseer
Best Response
You've already chosen the best response.
1
yw :)

phi
Best Response
You've already chosen the best response.
0
how about x=0.9999...
10x= 9.9999...
10xx = 9
9x=9
x=1

asnaseer
Best Response
You've already chosen the best response.
1
thats basically exactly what we have done :)

phi
Best Response
You've already chosen the best response.
0
yes, just wanted it all in one post for other readers