× Register Login What's New! Contact us
Page 1 of 2 1 2 Last
Results 1 to 20 of 32 visibility 2505

Thread: "0.9999..." = 1

  1. #1
    Uthman's Avatar
    brightness_1
    LI News Service

    Join Date
    Jan 2005
    Location
    Warrington, England
    Gender
    Male
    Religion
    Islam
    Posts
    5,513
    Threads
    691
    Rep Power
    131
    Rep Ratio
    98
    Likes Ratio
    2

    Wink "0.9999..." = 1

    Report bad ads?



    I hope this hasn't been posted before. I just wondered how many of you know that the decimal number 0.9999...(recurring) actually equals 1.

    Allow me to prove it for you:
    Let
    x = 0.9999...
    Multiply both sides by ten:
    10x = 9.9999...
    Subtract x from both sides:
    10x - x = 9.9999... - 0.9999...
    9x = 9.0000...
    Divide by nine:
    x = 1.0000...
    Anybody want to challenge me on this? Or perhaps somebody would like to post a different proof or counter-proof?

    Last edited by Uthman; 06-17-2008 at 07:28 PM.
    "0.9999..." = 1


    "I spent thirty years learning manners, and I spent twenty years learning knowledge."

    ~ 'Abdullāh bin al-Mubārak (rahimahullah)
    Quote Quote

  2. Report bad ads?
  3. #2
    truemuslim's Avatar
    brightness_1
    IB Oldskool

    Join Date
    Nov 2007
    Location
    same as tupac........beneath u. under the dirt. lost inside the earth. left the spark 4 u, nd left
    Religion
    Islam
    Posts
    5,036
    Threads
    231
    Rep Power
    96
    Rep Ratio
    36
    Likes Ratio
    1

    Re: "0.9999..." = 1

    I think my math teacher told me bout this...

    i remember it from LI tho....straaange...






    Oooh yehH! lool i was on LI while he was talking! :X hehe
    Quote Quote

  4. #3
    aysenil's Avatar
    brightness_1
    Full Member

    Join Date
    Nov 2005
    Location
    Turkey
    Gender
    Female
    Religion
    Islam
    Posts
    96
    Threads
    8
    Rep Power
    94
    Rep Ratio
    26
    Likes Ratio
    3

    Re: "0.9999..." = 1

    woow gr8 mashallah.... who can challenge u
    and i dont no any other proof
    "0.9999..." = 1

    "Every soul will taste the death."
    Quote Quote

  5. #4
    Mikayeel's Avatar
    brightness_1
    IB Oldtimer

    Join Date
    Dec 2007
    Location
    Hatfield, England
    Gender
    Male
    Religion
    Islam
    Posts
    1,988
    Threads
    90
    Rep Power
    92
    Rep Ratio
    106
    Likes Ratio
    3

    Re: "0.9999..." = 1



    Hmm, seems interesting!, Barakalahu feek bro
    Last edited by Mikayeel; 06-13-2008 at 10:18 PM.
    "0.9999..." = 1

    wwwislamicboardcom - "0.9999..." = 1
    Quote Quote

  6. Report bad ads?
  7. #5
    Tornado's Avatar
    brightness_1
    Full Member

    Join Date
    Apr 2008
    Location
    Canada
    Gender
    Male
    Religion
    Atheism
    Posts
    243
    Threads
    1
    Rep Power
    79
    Rep Ratio
    19
    Likes Ratio
    1

    Re: "0.9999..." = 1

    format_quote Originally Posted by Osman View Post


    I hope this hasn't been posted before. I just wondered how many of you know of the fact that the decimal number 0.9999...(recurring) actually equals 1.

    Allow me to prove it for you:
    Let
    x = 0.9999...
    Multiply both sides by ten:
    10x = 9.9999...
    Subtract x from both sides:
    10x - x = 9.9999... - 0.9999...
    9x = 9.0000...
    Divide by nine:
    x = 1.0000...
    Anybody want to challenge me on this? Or perhaps somebody would like to post a different proof or counter-proof?

    Let
    x = 0.9999...
    Multiply both sides by ten:
    10x = 9.9999...
    Subtract x from both sides:

    10x - x = 9.9999... - 0.9999... <-- You subtracted x on one side, and .999 on the other so it doesn't make sense.

    Since 0.3333 + 0.3333 ) 0.3333.. = 0.999..
    and since 0.333.. is 1/3, then 1/3 + 1/3 + 1/3 = 1
    Quote Quote

  8. #6
    Uthman's Avatar
    brightness_1
    LI News Service

    Join Date
    Jan 2005
    Location
    Warrington, England
    Gender
    Male
    Religion
    Islam
    Posts
    5,513
    Threads
    691
    Rep Power
    131
    Rep Ratio
    98
    Likes Ratio
    2

    Re: "0.9999..." = 1

    format_quote Originally Posted by Tornado View Post
    Let
    x = 0.9999...
    Multiply both sides by ten:
    10x = 9.9999...
    Subtract x from both sides:

    10x - x = 9.9999... - 0.9999... <-- You subtracted x on one side, and .999 on the other so it doesn't make sense.
    I don't see why it doesn't make sense, since x = .999...
    The same thing is still being subtracted from both sides.

    format_quote Originally Posted by Tornado View Post
    Since 0.3333 + 0.3333 ) 0.3333.. = 0.999..
    and since 0.333.. is 1/3, then 1/3 + 1/3 + 1/3 = 1
    Good one! Of course, that's provided that 1/3 does actually equal 0.333....

    Regards
    &quot;0.9999...&quot; = 1


    "I spent thirty years learning manners, and I spent twenty years learning knowledge."

    ~ 'Abdullāh bin al-Mubārak (rahimahullah)
    Quote Quote

  9. #7
    Tornado's Avatar
    brightness_1
    Full Member

    Join Date
    Apr 2008
    Location
    Canada
    Gender
    Male
    Religion
    Atheism
    Posts
    243
    Threads
    1
    Rep Power
    79
    Rep Ratio
    19
    Likes Ratio
    1

    Re: "0.9999..." = 1

    format_quote Originally Posted by Osman View Post
    I don't see why it doesn't make sense, since x = .999...
    The same thing is still being subtracted from both sides.



    Good one! Of course, that's provided that 1/3 does actually equal 0.333....

    Regards
    Yes I was totally wrong. 1/3 does equal 0.33333333333333 : ).
    Quote Quote

  10. #8
    Uthman's Avatar
    brightness_1
    LI News Service

    Join Date
    Jan 2005
    Location
    Warrington, England
    Gender
    Male
    Religion
    Islam
    Posts
    5,513
    Threads
    691
    Rep Power
    131
    Rep Ratio
    98
    Likes Ratio
    2

    Re: "0.9999..." = 1

    format_quote Originally Posted by Tornado View Post
    1/3 does equal 0.33333333333333 : ).
    Why? Because your Maths teacher told you?
    &quot;0.9999...&quot; = 1


    "I spent thirty years learning manners, and I spent twenty years learning knowledge."

    ~ 'Abdullāh bin al-Mubārak (rahimahullah)
    Quote Quote

  11. #9
    Tornado's Avatar
    brightness_1
    Full Member

    Join Date
    Apr 2008
    Location
    Canada
    Gender
    Male
    Religion
    Atheism
    Posts
    243
    Threads
    1
    Rep Power
    79
    Rep Ratio
    19
    Likes Ratio
    1

    Re: "0.9999..." = 1

    format_quote Originally Posted by Osman View Post
    Why? Because your Maths teacher told you?
    No, my trusty calculator
    Quote Quote

  12. Report bad ads?
  13. #10
    Uthman's Avatar
    brightness_1
    LI News Service

    Join Date
    Jan 2005
    Location
    Warrington, England
    Gender
    Male
    Religion
    Islam
    Posts
    5,513
    Threads
    691
    Rep Power
    131
    Rep Ratio
    98
    Likes Ratio
    2

    Re: "0.9999..." = 1

    format_quote Originally Posted by Tornado View Post
    No, my trusty calculator
    Oh.

    Sure, but aren't calculators programmed by us not-so trusty humans anyway?
    &quot;0.9999...&quot; = 1


    "I spent thirty years learning manners, and I spent twenty years learning knowledge."

    ~ 'Abdullāh bin al-Mubārak (rahimahullah)
    Quote Quote

  14. #11
    Idris's Avatar
    brightness_1
    Full Member

    Join Date
    Oct 2005
    Location
    London
    Gender
    Male
    Religion
    Islam
    Posts
    275
    Threads
    18
    Rep Power
    95
    Rep Ratio
    16
    Likes Ratio
    0

    Re: "0.9999..." = 1

    New to me.
    &quot;0.9999...&quot; = 1

    wwwislamicboardcom - "0.9999..." = 1
    Quote Quote

  15. #12
    'Abd al-Baari's Avatar
    brightness_1
    al-Taalib

    Join Date
    Aug 2006
    Gender
    Male
    Religion
    Islam
    Posts
    4,923
    Threads
    157
    Rep Power
    127
    Rep Ratio
    138
    Likes Ratio
    3

    Re: "0.9999..." = 1

    Assalamu Alaykum

    Me too^

    How about 1 - 0.999999 = 0.000001

    So 1 is not equal to 0.99999

    WaAlaykumus Salaam Warahmatullah!
    &quot;0.9999...&quot; = 1

    Quote Quote

  16. #13
    Ayoub's Avatar
    brightness_1
    Full Member

    Join Date
    Apr 2008
    Religion
    Unspecified
    Posts
    35
    Threads
    1
    Rep Power
    80
    Rep Ratio
    34
    Likes Ratio
    0

    Re: "0.9999..." = 1

    format_quote Originally Posted by Osman View Post


    I hope this hasn't been posted before. I just wondered how many of you know of the fact that the decimal number 0.9999...(recurring) actually equals 1.

    Allow me to prove it for you:
    Let
    x = 0.9999...
    Multiply both sides by ten:
    10x = 9.9999...
    Subtract x from both sides:
    10x - x = 9.9999... - 0.9999...
    9x = 9.0000...
    Divide by nine:
    x = 1.0000...
    Anybody want to challenge me on this? Or perhaps somebody would like to post a different proof or counter-proof?

    If x = 9, 9x does not = 9. If x = 9, 9x = 81.
    Quote Quote

  17. #14
    Whatsthepoint's Avatar
    brightness_1
    Account Disabled

    Join Date
    Oct 2007
    Religion
    Unspecified
    Posts
    3,705
    Threads
    19
    Rep Power
    0
    Rep Ratio
    35
    Likes Ratio
    1

    Re: "0.9999..." = 1

    format_quote Originally Posted by Ayoub View Post
    If x = 9, 9x does not = 9. If x = 9, 9x = 81.
    Wha..?
    Quote Quote

  18. Report bad ads?
  19. #15
    Abdul Fattah's Avatar
    brightness_1
    a.k.a. steve

    Join Date
    Apr 2005
    Location
    Belgium, Gent
    Gender
    Male
    Religion
    Islam
    Posts
    1,931
    Threads
    36
    Rep Power
    105
    Rep Ratio
    68
    Likes Ratio
    4

    Re: "0.9999..." = 1

    The problem is the surrealism of infinity. In the real world where infinity doesn't exist, then in step 3 where you subtract x, there you'll see that the 9.999... always has one decimal less behind the point than 0.9999...
    That way the subtractions can never become 9. So the calculations themself are fine, it's the mathematical axiom of infinity that is dodgy.

    The same happens for 1/3 = 0.333... that only works with an infinite number of factors. In reality it's impossible to calculate with that, so we calculate in approximations (so does your calculator).
    Last edited by Abdul Fattah; 06-14-2008 at 10:49 AM.
    &quot;0.9999...&quot; = 1

    Check out my website for my conversion story.
    Check out my free e-book if you like reading drama-novels.
    Quote Quote

  20. #16
    Uthman's Avatar
    brightness_1
    LI News Service

    Join Date
    Jan 2005
    Location
    Warrington, England
    Gender
    Male
    Religion
    Islam
    Posts
    5,513
    Threads
    691
    Rep Power
    131
    Rep Ratio
    98
    Likes Ratio
    2

    Re: "0.9999..." = 1



    format_quote Originally Posted by Abdul Baari View Post
    How about 1 - 0.999999 = 0.000001

    So 1 is not equal to 0.99999


    Yes, but remember that the 0.999... is a recurring decimal with an infinite number of nines. For this reason, 1 - 0.9999.... would result in 0.0000000......

    There would be an infinite number of zero's in the answer so there would be no 1 at the end because there is no end!

    &quot;0.9999...&quot; = 1


    "I spent thirty years learning manners, and I spent twenty years learning knowledge."

    ~ 'Abdullāh bin al-Mubārak (rahimahullah)
    Quote Quote

  21. #17
    Uthman's Avatar
    brightness_1
    LI News Service

    Join Date
    Jan 2005
    Location
    Warrington, England
    Gender
    Male
    Religion
    Islam
    Posts
    5,513
    Threads
    691
    Rep Power
    131
    Rep Ratio
    98
    Likes Ratio
    2

    Re: "0.9999..." = 1



    format_quote Originally Posted by Ayoub View Post
    If x = 9, 9x does not = 9. If x = 9, 9x = 81.
    That certainly makes sense, but the argument here is that 0.9999... = 1, where x = 0.99999...

    Nobody claimed that x = 9!

    &quot;0.9999...&quot; = 1


    "I spent thirty years learning manners, and I spent twenty years learning knowledge."

    ~ 'Abdullāh bin al-Mubārak (rahimahullah)
    Quote Quote

  22. #18
    Abdul Fattah's Avatar
    brightness_1
    a.k.a. steve

    Join Date
    Apr 2005
    Location
    Belgium, Gent
    Gender
    Male
    Religion
    Islam
    Posts
    1,931
    Threads
    36
    Rep Power
    105
    Rep Ratio
    68
    Likes Ratio
    4

    Re: "0.9999..." = 1

    To clarify the previous post, consider the same calculation, only this time with finite numbers instead of infinite numbers:

    x = 0.9999
    Multiply both sides by ten:
    10x = 9.999
    Subtract x from both sides:
    10x - x = 9.999 - 0.9999
    9x = 8.9991
    Divide by nine:
    x = 0.9999
    &quot;0.9999...&quot; = 1

    Check out my website for my conversion story.
    Check out my free e-book if you like reading drama-novels.
    Quote Quote

  23. #19
    Muhammad's Avatar
    brightness_1
    IB Oldskool

    Join Date
    Apr 2005
    Location
    on a Journey...
    Gender
    Male
    Religion
    Islam
    Posts
    9,046
    Threads
    205
    Rep Power
    167
    Rep Ratio
    135
    Likes Ratio
    36

    Re: "0.9999..." = 1



    Subtract x from both sides:
    10x - x = 9.9999... - 0.9999...
    9x = 9.0000...
    How come 10x - x becomes 9x, when x=0.9999...?
    &quot;0.9999...&quot; = 1



    Quote Quote

  24. Report bad ads?
  25. #20
    tetsujin's Avatar
    brightness_1
    Full Member

    Join Date
    Oct 2007
    Location
    Earth
    Gender
    Female
    Religion
    Atheism
    Posts
    286
    Threads
    3
    Rep Power
    82
    Rep Ratio
    12
    Likes Ratio
    0

    Re: "0.9999..." = 1

    format_quote Originally Posted by Osman View Post


    I hope this hasn't been posted before. I just wondered how many of you know of the fact that the decimal number 0.9999...(recurring) actually equals 1.

    Allow me to prove it for you:
    Let
    x = 0.9999...
    Multiply both sides by ten:
    10x = 9.9999...
    Subtract x from both sides:
    10x - x = 9.9999... - 0.9999...
    9x = 9.0000...
    Divide by nine:
    x = 1.0000...
    Anybody want to challenge me on this? Or perhaps somebody would like to post a different proof or counter-proof?

    Who ever showed you that needs to get a good smack in the head.

    I suggest you go to a good math teacher and allow them to properly educate you on the rules of mathematics.


    Your "equation" boils down to ((x * 10) - x)/9 = something

    You've allowed x to be an irrational number, which is fine, but that's where you are having difficulties. Logically speaking, ((x * 10) - x)/9 should equal x again.

    Try .888888888 and see what you get with your logic.

    (0.888888888..... * 10 - 0.888888888..... )/8 = ?
    (8.888888888..... - 0.888888888..... )/8 = What do you think it should be?


    Please don't make a mockery of mathematics.

    All the best wishes,

    Faysal
    Quote Quote


  26. Hide
Page 1 of 2 1 2 Last
Hey there! &quot;0.9999...&quot; = 1 Looks like you're enjoying the discussion, but you're not signed up for an account.

When you create an account, we remember exactly what you've read, so you always come right back where you left off. You also get notifications, here and via email, whenever new posts are made. And you can like posts and share your thoughts. &quot;0.9999...&quot; = 1
Sign Up

Similar Threads

  1. Replies: 10
    Last Post: 12-18-2017, 06:26 AM
  2. "Fate" and "Nature"--the world's subtlest popular euphemisms
    By IAmZamzam in forum Comparative religion
    Replies: 11
    Last Post: 06-09-2011, 09:16 PM
  3. Muhammad (as) - "The Conqueror" of Apostle John's "Revelations"
    By SalamChristian in forum Comparative religion
    Replies: 0
    Last Post: 03-25-2011, 08:53 PM
  4. Replies: 0
    Last Post: 05-27-2010, 08:01 PM
  5. Replies: 101
    Last Post: 10-03-2009, 05:03 AM

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •  
create