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.