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.
The various operations within the expression are carried out using the order of operations: BIDMAS (UK) or PEMDAS (US).
Parenthesis, Exponents, Multiplication or Division(whichever come first from left to right*), Addition or Subtraction *
You need the rules of multiplication as well as of addition. But multiplication of integers can be viewed as repeated addition. Thus, if p/q and r/s are two rational numbers then their sum is(p*s + q*r)/(q*s)
There are different rules for different operations.
need help to simplify boolean expression
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.
There are an infinite number of operations for integer and different rules will apply for different operations. The question needs to be more specific.
The various operations within the expression are carried out using the order of operations: BIDMAS (UK) or PEMDAS (US).
order of operations
Parenthesis, Exponents, Multiplication or Division(whichever come first from left to right*), Addition or Subtraction *
You need the rules of multiplication as well as of addition. But multiplication of integers can be viewed as repeated addition. Thus, if p/q and r/s are two rational numbers then their sum is(p*s + q*r)/(q*s)
If you know the value of any variables, replace them. Then carry out all the arithmetic operations following the rules (BIDMAS/PEMDAS).
There are different rules for different operations.
If you change the order of operations, you will get a different result. The person who wrote the expression had a specific order of operations in mind (using generally-accepted rules), so arbitrarily using some other order of operations is, quite simply, wrong.
what is a special set of rules that gives the order in which calculations are done to solve a problem
The rules are the same.