No.
If you can display it as a fraction where both the top and bottom are integers (whole numbers) then it's rational; therefore, any integer is rational (since it can be placed over 1 and fulfill the definition) and -103 is an integer.
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Yes. The sum of two irrational numbers can be rational, or irrational.
It is always irrational.
Not necessarily. The sum of two irrational numbers can be rational or irrational.
Yes normally but if both irrational number are the same then the quotient will be 1