Maeckes logo

<    1      2      3    >

Imaginary number

An imaginary number has no real value. You write it as

i y

where i is the imaginary unit.



Imaginary numbers are part of a complex number, that is denoted by the letter as

where x and y are real numbers, and i de imaginary unit. A complex number has a real part and an imaginary part. You can say that iy is an imaginary number, but it is also a complex number, because

And i itself is also a complex number, because

it consists only of an imaginary part. It has no real value. Every real number is a complex number, because

The name 'imaginary number' is not widely used in practice. Sometimes you find 'imaginary pure' instead. It always describes the imaginary part of a complex number. They can be found in exponential functions and then the distinction is not important. There you get

where each term can be handled separately.


Deutsch   Español   Français   Nederlands   中文