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Question

Is zero (0) a complex number?


A
True
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B
False
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Solution

The correct option is A True

Determining if zero is a complex number or real number:

A number that can be represented in the forma+ib, where a and b are real numbers is a complex number. Here a is the real part and b 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 a+ib, whereb=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.

Therefore, the given statement is true.


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