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.
I am not at all sure that there are any rules that apply to integers in isolation. Any rules that exist are in the context of binary operations like addition or multiplication of integers.
They become positive integers for instance - - 2 = 2
Integers are whole numbers. 1 3/4 is not a integer whereas 1 is.
The rules for addition are as follows:The sum of two negative integers is a negative integerThe sum of two positive integers is a positive integerThe rules for subtraction are as follows:If they are two positive numbers, do it normallyIf there is a negative and a positive ,change it to addition and switch the SECOND integer sign
For each pair of such integers, find the difference between the absolute values of the two integers and allocate the sign of the bigger number to it.