### Video Transcript

Is the following statement true or
false? Any real number is also a complex
number.

We know that a complex number π§ is
of the form π plus ππ, where π and π are real numbers. Now in fact, we could say that a
real number π is of the form π plus zero π. Zero is indeed a real number. And by its very definition, π plus
zero π is a complex number.

So we have shown that any real
number is also a complex number. We can say that the statement βAny
real number is also a complex numberβ is true. Itβs important to note though that
the opposite statement is not true. We cannot say any complex number is
also a real number, since a complex number has a real and an imaginary part. The only way that a complex number
can also be a real number is if the imaginary part is zero.