Question Video: Understanding the Definitions of Real, Imaginary, and Complex Numbers | Nagwa Question Video: Understanding the Definitions of Real, Imaginary, and Complex Numbers | Nagwa

# Question Video: Understanding the Definitions of Real, Imaginary, and Complex Numbers Mathematics • First Year of Secondary School

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

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### 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 ππ, 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 βAny real number is also a complex numberβ is true. Itβs 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.

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