1. Welcome to Baptist Board, a friendly forum to discuss the Baptist Faith in a friendly surrounding.

    Your voice is missing! You will need to register to get access to all the features that our community has to offer.

    We hope to see you as a part of our community soon and God Bless!

Repeating decimal of 9's and 1.

Discussion in 'Other Discussions' started by 37818, Sep 14, 2021.

  1. 37818

    37818 Well-Known Member

    Joined:
    Sep 23, 2018
    Messages:
    7,642
    Likes Received:
    631
    Faith:
    Baptist
    1/3 = .333 . . . the repeating decimal of 3's
    Now the the repeating decimal of 9's, .999 . . . there exists a disagreement as to whether it is equal to 1 or not.
     
  2. JonC

    JonC Moderator
    Moderator

    Joined:
    Aug 28, 2001
    Messages:
    22,967
    Likes Received:
    2,532
    Faith:
    Baptist
    I vote no (it is not equal to 1, but would be treated as if it were).

    That said, I believe mathematically it is equal to 1. 1/3 × 3 = 1....so .33333 x .33333 has to equal 1.

    But philosophically it is just shy. :Biggrin
     
  3. Van

    Van Well-Known Member
    Site Supporter

    Joined:
    Mar 4, 2011
    Messages:
    19,270
    Likes Received:
    626
    Faith:
    Baptist
    The issue is not that it is ok to disregard the insignificant but on what constitutes insignificance. Lots of people present numbers as three significant figures and an exponent to locate the decimal either in front of or behind the figures. Thus .999 would be 9.99 x 10 to the minus 1.
     
  4. Van

    Van Well-Known Member
    Site Supporter

    Joined:
    Mar 4, 2011
    Messages:
    19,270
    Likes Received:
    626
    Faith:
    Baptist
    Not according to my calculator... maybe closer to .11 (when you multiply with a number less than one, you reduce the amount...)
     
  5. Salty

    Salty 20,000 Posts Club
    Administrator

    Joined:
    Apr 8, 2003
    Messages:
    31,595
    Likes Received:
    1,561
    Faith:
    Baptist
    How about - "it depends"
    What is :
    Task
    Conditions
    Standards
     
  6. JonC

    JonC Moderator
    Moderator

    Joined:
    Aug 28, 2001
    Messages:
    22,967
    Likes Received:
    2,532
    Faith:
    Baptist
    Yea. I meant 1/3 x 3 and .3333 x 3.
     
    • Winner Winner x 1
  7. canadyjd

    canadyjd Well-Known Member

    Joined:
    Oct 13, 2005
    Messages:
    8,049
    Likes Received:
    834
    You math nerds are getting out of control.

    Next, you will go in a tangent, trying to discern the “sins” and “cosins” of the times.

    peace to you
     
    • Like Like x 1
    • Funny Funny x 1
  8. 37818

    37818 Well-Known Member

    Joined:
    Sep 23, 2018
    Messages:
    7,642
    Likes Received:
    631
    Faith:
    Baptist
    There is tbe deference between the approximation of 1/3 and the infinite repeating decimal of .333 . . . .
    The disagreement is over the interpertation of the infinite repeating decimal of .999 . . . . It being equal to 1 or always an infinitesimal smaller than 1, where the infinitesimal greater than zero.
     
  9. JonC

    JonC Moderator
    Moderator

    Joined:
    Aug 28, 2001
    Messages:
    22,967
    Likes Received:
    2,532
    Faith:
    Baptist
    What is the decimal form of 1/3 (1 divided by 3)?
     
  10. 37818

    37818 Well-Known Member

    Joined:
    Sep 23, 2018
    Messages:
    7,642
    Likes Received:
    631
    Faith:
    Baptist
    .111 . . . or 1/9 as a fraction. (1/3)/3.
     
  11. JonC

    JonC Moderator
    Moderator

    Joined:
    Aug 28, 2001
    Messages:
    22,967
    Likes Received:
    2,532
    Faith:
    Baptist
    I mean what is the decimal form of 1/3?
     
  12. 37818

    37818 Well-Known Member

    Joined:
    Sep 23, 2018
    Messages:
    7,642
    Likes Received:
    631
    Faith:
    Baptist
    1/9 = .111 . . .
    2/9 = .222 . . .
    3/9 = 1/3 = .333 . . .
    4/9 = .444 . . .
    5/9 = .555 . . .
    6/9 = 2/3 = .666 . . .
    7/9 = .777 . . .
    8/9 = .888 . . .
    9/9 = 1 = .999 . . .
     
  13. 37818

    37818 Well-Known Member

    Joined:
    Sep 23, 2018
    Messages:
    7,642
    Likes Received:
    631
    Faith:
    Baptist
    .333333333333333333 . . . etc.
     
    • Agree Agree x 1
  14. JonC

    JonC Moderator
    Moderator

    Joined:
    Aug 28, 2001
    Messages:
    22,967
    Likes Received:
    2,532
    Faith:
    Baptist
    Yep. 1/3 (which can be written 1÷3) = .3333.....


    What is .3333.... x 3?


    If A/B=C then A=BC.

    .999..... has to = 1
     
  15. RighteousnessTemperance&

    RighteousnessTemperance& Well-Known Member

    Joined:
    Dec 24, 2017
    Messages:
    5,859
    Likes Received:
    1,139
    Faith:
    Baptist
    Not arguing for the final value, but there is a succinct mathematical way to represent repeating decimals. Use a vinculum or overbar. Then, 1/3 would be 0.3 with a bar (vinculum) over the 3 to indicate it repeats infinitely. For thrice that, it would be 0.9 with a bar over the 9 to indicate the 9 repeats infinitely. I’d show it outright, but don’t know how here. And besides, everyone probably already knows this. :Wink
     
Loading...