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When multiplying integers, multiplying by the same sign will always produce a positive integer. Such as a negative times a negative equals a positive. If the signs are different then the product will be a negative.
The rules are not the same.Multiplication is commutative whereas division is not.Multiplication is associative whereas division is not.
It follows from the definition of multiplication.
They aren't. The rules are the same as those for adding/subtracting or multiplying integers. Just be careful of the decimal point's location.
Placing a question mark at the end of a phrase does not make it a sensible question. Try to use a whole sentence to describe what it is that you want answered. Your "question" sheds no light on what rules for integers you are interested in: rules for addition, subtraction, and so on; rules for multiplying numbers with integer indices, and so on.