A percent can be represented as a fraction of x/100, and so is not irrational, unless the numerator of the fraction (the # before the %) is itself irrational.
For example:
2% is not irrational.
55.443% is not irrational.
sqrt(5)% is irrational.
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Rational.
No. The sum of an irrational number and any other [real] number is irrational.
A negative irrational number can be thought of as an irrational number multiplied by -1, or an irrational number with a minus sign in front of it.
If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.
Any irrational number will, eg √2, π, e.