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math

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Which set of integers is not closed under what operation?
+
-
x
Division
I thought it was division but I don't understand , can you please explain this.
Thanks

  • math -

    Think of it this way:
    If you add two integers, will you always get back an integer ? YES , so it is closed under addition

    if you divide two integers will you always get back an integer.
    e.g. 6 รท 4 = 1.5 , which is NOT an integer
    so not closed under division

    make a similar test for subtraction and multiplication.
    What do you think?

  • math -

    6*4=24 it is an integer=closed for mult.
    10-7=3 so it is also an integer
    Thanks

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