# Definition:Complex Number/Wholly Real

(Redirected from Definition:Wholly Real)

## Definition

A complex number $z = a + i b$ is wholly real if and only if $b = 0$.

## Also known as

Variants on wholly real are:

completely real
entirely real

etc.

Some sources gloss over the distinction between a real number and a wholly real complex number and merely refer to a number of the form $z = a + 0 i$ as a real number.