# Arithmetic Course/Types of Number/Imaginary Number

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## Imaginary Number

Imaginary Number is defined as

${\displaystyle j={\sqrt {-1}}}$

j + 0 = j
j + j = 2j
j + (-j) = 0

j - 0 = j
j - j = 0
j - (-j) = 2j

j x 0 = 0
j x j = j2
j x (-j) = -j2

j / 0 = 00
j / j = 1
j x (-j) = -1