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I was wondering what Q/Z, or the rational numbers modulo the integers.

  1. Apr 22, 2009 #1
    I was wondering what Q/Z, or the rational numbers modulo the integers. I am struggling to visualize what the cosets may be.

    Thank you for your time.
     
  2. jcsd
  3. Apr 22, 2009 #2

    Hurkyl

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    Re: Modulus

    If we represent an element of Q/Z by a rational number, only the fractional part is significant. i.e. -3/4, 1/4, and 5/4 all name the same element of Q/Z.
     
  4. Apr 22, 2009 #3
    Re: Modulus

    Oh ok i think I get it, so rational numbers that are the same signed fractional distance from an integer are in the same coset of Q/Z?
     
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