Is zero a complex number?
Determining if zero is a complex number or real number:
A number that can be represented in the form, where and are real numbers is a complex number. Here is the real part and is the imaginary part.
We can represent a real number as a complex number with the imaginary part zero. An imaginary number is a complex number , where. Any imaginary number is also a complex number. Also, we can conclude that any real number is also a complex number. We can represent zero as . We can say zero is a complex number whose imaginary part is zero, which means it is a real number. We can also say zero is a complex number whose real part is zero, which means it is an imaginary number.
Thus, we can say zero is both real and complex.
Therefore, the given statement is true.