closure propery

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Is this set closed under multiplication
{-1, 0, 1}

  • closure propery -

    Closed under multiplication means that any member of the set times any other member of the set (including itself) yields another member of the set.

    We have the combinations,

    -1 * 0 = 0

    -1 * 1 = -1

    -1*-1 = 1

    0*0 = 0

    0*1 = 0

    1*1 = 1

    All results are from the set, so it indeed is closed.

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