Results 1 to 3 of 3
Like Tree2Thanks
  • 1 Post By emakarov
  • 1 Post By HallsofIvy

Math Help - modulo arithmetic

  1. #1
    Super Member
    Joined
    Sep 2008
    Posts
    607

    modulo arithmetic

    Can someone please explain how I work this our?

    (8+13) mod 6 = ?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Oct 2009
    Posts
    5,504
    Thanks
    765

    Re: modulo arithmetic

    This is the remainder when 8 + 13 is divided by 6. If you need to find out what a remainder is, see, e.g., here.
    Thanks from Tweety
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,326
    Thanks
    1298

    Re: modulo arithmetic

    Another way of thinking about this is 8+ 13= (6+ 2)+ (6+ 6+ 1)= 6+ 6+ 6+ 3= 3 (modulo 6) since "modulo 6" means that we "throw out" sixes. emakarov's point was that we can first add 8+ 13= 21, then divide by 6: 6 divides into 21 three times with remainder 3 so 21= 3 (modulo 6). You could also "reduce modulo 6" before adding: 6 divides into 9 once with remainder 2: 8= 2 (modulo 6). 6 divides into 13 twice with remainder 1: 13= 1 (modulo 6). So 8+ 13 (modulo 6) is the same as 2+ 1 (modulo 6). 2+ 1 = 3 which is less than 6 so 3= 3 (modulo 6).
    Thanks from Tweety
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. modulo arithmetic
    Posted in the Number Theory Forum
    Replies: 6
    Last Post: April 15th 2010, 07:10 AM
  2. Modulo Arithmetic
    Posted in the Number Theory Forum
    Replies: 2
    Last Post: March 4th 2009, 11:47 AM
  3. Modulo Arithmetic
    Posted in the Number Theory Forum
    Replies: 3
    Last Post: January 9th 2009, 03:56 AM
  4. modulo arithmetic
    Posted in the Math Topics Forum
    Replies: 7
    Last Post: December 31st 2007, 09:52 AM
  5. Modulo arithmetic
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: December 2nd 2007, 05:16 AM

Search Tags


/mathhelpforum @mathhelpforum