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Properties of multiplication operation on Z :

If a, b, and care three integers, then multiplication has the
following properties:
 Closure: The product of any two integers is also an

 integer. (a x b ? Z}

 Commutative: a x b =b x a

Associative: (a x b)x c =      a x (b x c)

Identity Element: The multiplicative identity is 1.

                 a x 1 =1 x a = a
Distribution property:

+a x (b c) = a x b + a x c

 a x (b - c) = a x b – a x c

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