Arithmetic Course/Types of Number/Imaginary Number

Imaginary Number

Imaginary Number is defined as

$i={\sqrt {-1}}$

Mathematic Operations

Addition

i + 0 = i

i + i = 2i

i + (-i) = 0

Subtraction

i - 0 = i

i - i = 0

i - (-i) = 2i

Multiplication

i x 0 = 0

i x i = i² = -1

i x (-i) = -i² = 1

Division

i / 0 = Error

i / i = 1

i / (-i) = -1