AmTran_Bus
  • AmTran_Bus
Prove .99999999999999999999999999999999999999999999999999999 equals 1.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
that is false.....the number mentioned above ROUNDS UP to 1....meaning it is closer to one than it is to 0 :)
AmTran_Bus
  • AmTran_Bus
Good job! Now try .9 repeating!
anonymous
  • anonymous
its the exact same explanation thou stubborn being

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More answers

asnaseer
  • asnaseer
If you mean 0.999... (i.e. 9's repeating for ever) then this can be proved
AmTran_Bus
  • AmTran_Bus
Go fir it!
asnaseer
  • asnaseer
is this a challenge or are you looking for help in trying to prove it?
AmTran_Bus
  • AmTran_Bus
I want to prove it.
asnaseer
  • asnaseer
ok, start by setting:\[x=0.999..\]Then see what happens if you multiply both sides by 10
AmTran_Bus
  • AmTran_Bus
10x=0.999(10)
AmTran_Bus
  • AmTran_Bus
or 9.999999999---
AmTran_Bus
  • AmTran_Bus
10=9.99999999 on and on
asnaseer
  • asnaseer
correct - and now notice that 9.99... can be written as 9 + 0.999...
AmTran_Bus
  • AmTran_Bus
right
asnaseer
  • asnaseer
and what is 0.999.... (look at how we started the proof)
AmTran_Bus
  • AmTran_Bus
you mean =x?
asnaseer
  • asnaseer
perfect!
asnaseer
  • asnaseer
so you end up with: x = 0.999... 10x = 9.999... = 9 + 0.999... = 9 + x
AmTran_Bus
  • AmTran_Bus
ohhhhh. Thanks!!!
asnaseer
  • asnaseer
yw :)
phi
  • phi
how about x=0.9999... 10x= 9.9999... 10x-x = 9 9x=9 x=1
asnaseer
  • asnaseer
thats basically exactly what we have done :)
phi
  • phi
yes, just wanted it all in one post for other readers

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