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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

There is rule for a number to belong to the set of real numbers.
It's called 'Law of Tricotomy'. According to it, "Any two numbers a, b are real if and only if one of the following holds true (i)ab.
In short a number is real if and only if it can be compared (like lesser than or greater than or is equal to).
As for the question 0 can be compared, right?
Hence, 0 is a real number.

0 can be expressed as 0=0+0i. In that sense, 0 is a complex number. This question can also be answered in another way. Every real number can be expressed in the form a+ib. For example 1=1+0i. Thus every real number is a complex number.

It is true that every real number is a complex number. But imaginary (purely) are the ones in which real part is 0 and imaginary part is non zero real number.

Dear friend set of real numbers (R) is a subset of the set of all complex numbers (C). That is R is contained in C. Thus by set properties every element in R belongs to C. 0 being a real number thus belongs to C.

Complex numbers and (purely) imaginary have a little difference. Complex numbers are divided into two sets one being set of real numbers and the other being set of imaginary numbers. 0 doesn't belong to imaginary number set.