Question

Yes or No? If No, give a reason.

Is every real number also a complex number?

Short answer

Yes, every real number is a complex number as well.

Step-by-step solution

Step 1. Concept of complex number.

A complex number is of the form $a+bi$. Where a and b are some real numbers and i is the imaginary number.

The number a is known as the real part of the complex number and b is known as imaginary part of the complex number.

Step 2. Example for complex number.

In the complex number $3+5i$, the real part is 3 and the complex part is 5.

The imaginary number i is defined as the square root of negative one. That is, $i=\sqrt{-1}$.

Step 3. Explanation.

Any real number n can be expressed in complex form as $n+0i$. Here the imaginary part is 0.

So, every real number can be expressed as a complex number with imaginary part as 0.

So Yes, every real number is also a complex number.