rational
Yes, but only if the rational number is 0.
Only if the rational number is 0.
Yes, but only if the starting rational number is 0.
A number is only rational if it ends.
It must be a generalised rational number. Otherwise, if you select a rational number to multiply, then you will only prove it for that number.
A number with a finite number of decimal digits is always rational. (If the number of decimal digits is infinite, the number is rational only if there is a repeating pattern.)
Rational
(pi) itself is an irrational number. The only multiples of it that can be rational are (pi) x (a rational number/pi) .
No. In fact the sum of a rational and an irrational MUST be irrational.
No, but the only exception is if the rational number is zero.
It not only can be, it is.