-543 is rational. It is a whole number so it cannot be irrational.
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Yes, it can be expressed as a ratio of two integers: -1086 / 10 or -543/5
No. A rational plus an irrational is always an irrational.
rational
It is always irrational.
The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.