The number -12 is NOT irrational. In fact, -12 is a rational number. By a rational number, we mean any number that can be written in the form of a fraction.
Why is -12 a rational number?
Formally, we say that a number is rational if it can be written as a fraction of the form a/b where, “a” and “b” are integers. Since -12 can be written as -12/1 we conclude that it is a rational number. Moreover, it can be written as a fraction in a number of ways:
- -12 = -12/1
- -12 = 12/ -1
- -12 = -24/2
- -12 = -36/3
- -12 = -120/10
Therefore -12 is definitely a rational number (not irrational).
Is -2 rational or irrational?
It is a misconception that negative numbers can’t be rational. For example, by similar reasoning as above we can conclude that -2 is also a rational number, that is, -2 is not irrational.