Is zero (0) a complex number?

A number which can be represented in the form a+ib, where a and b are real numbers is a complex number. Here i2 = -1 and a is the real part and b is the imaginary part. Let us find the answer to the question Is zero (0) a complex number.

 

We can represent a real number as a complex number with the imaginary part zero. An imaginary number is a complex number a+ib, where b = 0. 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 0 = 0+0i. 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. 

 

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