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AmTran_Bus Group Title

Prove .99999999999999999999999999999999999999999999999999999 equals 1.

  • one year ago
  • one year ago

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  1. yummydum Group Title
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    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
  2. AmTran_Bus Group Title
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    Good job! Now try .9 repeating!

    • one year ago
  3. yummydum Group Title
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    its the exact same explanation thou stubborn being

    • one year ago
  4. asnaseer Group Title
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    If you mean 0.999... (i.e. 9's repeating for ever) then this can be proved

    • one year ago
  5. AmTran_Bus Group Title
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    Go fir it!

    • one year ago
  6. asnaseer Group Title
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    is this a challenge or are you looking for help in trying to prove it?

    • one year ago
  7. AmTran_Bus Group Title
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    I want to prove it.

    • one year ago
  8. asnaseer Group Title
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    ok, start by setting:\[x=0.999..\]Then see what happens if you multiply both sides by 10

    • one year ago
  9. AmTran_Bus Group Title
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    10x=0.999(10)

    • one year ago
  10. AmTran_Bus Group Title
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    or 9.999999999---

    • one year ago
  11. AmTran_Bus Group Title
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    10=9.99999999 on and on

    • one year ago
  12. asnaseer Group Title
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    correct - and now notice that 9.99... can be written as 9 + 0.999...

    • one year ago
  13. AmTran_Bus Group Title
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    right

    • one year ago
  14. asnaseer Group Title
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    and what is 0.999.... (look at how we started the proof)

    • one year ago
  15. AmTran_Bus Group Title
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    you mean =x?

    • one year ago
  16. asnaseer Group Title
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    perfect!

    • one year ago
  17. asnaseer Group Title
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    so you end up with: x = 0.999... 10x = 9.999... = 9 + 0.999... = 9 + x

    • one year ago
  18. AmTran_Bus Group Title
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    ohhhhh. Thanks!!!

    • one year ago
  19. asnaseer Group Title
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    yw :)

    • one year ago
  20. phi Group Title
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    how about x=0.9999... 10x= 9.9999... 10x-x = 9 9x=9 x=1

    • one year ago
  21. asnaseer Group Title
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    thats basically exactly what we have done :)

    • one year ago
  22. phi Group Title
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    yes, just wanted it all in one post for other readers

    • one year ago
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