Real and Imaginary Numbers Confusion!<br> Are set of real numbers and set of imaginary numbers overlapping?<br> I think that they are overlapping because #0# is both real and imaginary.

Question

If I am right then in the image below, I think imaginary numbers should be overlapping with real numbers.

Everywhere on the internet, venn diagram of real and imaginary number is disjoint not overlapping. Why?

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Answer 1 · 2017-08-29T21:20:53

No

An imaginary number is a complex number of the form #a+bi# with #b != 0#

A purely imaginary number is a complex number #a+bi# with #a = 0# and #b != 0#.

Consequently, #0# is not imaginary.