The question cannot be answered because it is based on a false premise: negative pi is NOT a negative rational number.
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A rational number is a fraction with an integer in the numerator, and a non-zero integer in the denominator. If you consider pi/2, pi/3, pi/4 (common 'fractions' of pi used in trigonometry) to be 'fractions', then these are not rational numbers.
3.14 is rational. However, it is often used as an approximation for pi, which is irrational.
If you multiply or divide an irrational number - such as pi - by ANY rational number (except zero), you will ALWAYS get an irrational number.
No, and nor is negative 5 pi.
A number is said to be rational if it can be expressed as a ratio of two [finite] integers [the second of which is non-zero]. Here, if pi is to be rational, both p and q must be integers. If p is an integer then q will be irrational and if q is an integer, p will be irrational. They can never both be rational and so the ratio definition cannot be satisfied.