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AmTran_Bus

  • 2 years ago

Prove .99999999999999999999999999999999999999999999999999999 equals 1.

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  1. yummydum
    • 2 years ago
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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 :)

  2. AmTran_Bus
    • 2 years ago
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    Good job! Now try .9 repeating!

  3. yummydum
    • 2 years ago
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    its the exact same explanation thou stubborn being

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

  5. AmTran_Bus
    • 2 years ago
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    Go fir it!

  6. asnaseer
    • 2 years ago
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    is this a challenge or are you looking for help in trying to prove it?

  7. AmTran_Bus
    • 2 years ago
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    I want to prove it.

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

  9. AmTran_Bus
    • 2 years ago
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    10x=0.999(10)

  10. AmTran_Bus
    • 2 years ago
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    or 9.999999999---

  11. AmTran_Bus
    • 2 years ago
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    10=9.99999999 on and on

  12. asnaseer
    • 2 years ago
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    correct - and now notice that 9.99... can be written as 9 + 0.999...

  13. AmTran_Bus
    • 2 years ago
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    right

  14. asnaseer
    • 2 years ago
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    and what is 0.999.... (look at how we started the proof)

  15. AmTran_Bus
    • 2 years ago
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    you mean =x?

  16. asnaseer
    • 2 years ago
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    perfect!

  17. asnaseer
    • 2 years ago
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    so you end up with: x = 0.999... 10x = 9.999... = 9 + 0.999... = 9 + x

  18. AmTran_Bus
    • 2 years ago
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    ohhhhh. Thanks!!!

  19. asnaseer
    • 2 years ago
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    yw :)

  20. phi
    • 2 years ago
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    how about x=0.9999... 10x= 9.9999... 10x-x = 9 9x=9 x=1

  21. asnaseer
    • 2 years ago
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    thats basically exactly what we have done :)

  22. phi
    • 2 years ago
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    yes, just wanted it all in one post for other readers

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