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Multiplication of Integers#!#Properties of Multiplication of Integers

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Which of the following statements are true and which are false? i The product of a positive and a negative integer is negative. ii The product of two negative integers is a negative integer. iii The product of three negative integers is a negative integer. iv Every integer when multiplied with -1 gives its multiplicative inverse. v Multiplication on integers is commutative. vi Multiplication on integers is associative. vii Every nonzero integer has a multiplicative inverse as an integer.

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Integers are closed under multiplication.