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The product (meaning multiplication) will be a negative integer. E.g. 2 * -2 = -4
Addition and multiplication are operations on integers that are commutative.
No.
The set of integers is not closed under multiplication and so is not a field.
They are not the same!The set of integers is closed under multiplication but not under division.Multiplication is commutative, division is not.Multiplication is associative, division is not.