Arithmetic Course/Types of Number/Imaginary Number

< Arithmetic Course‎ | Types of Number

Imaginary Number edit

Imaginary Number is defined as

i={\sqrt {-1}}

Mathematic Operations edit

Addition edit

i + 0 = i

i + i = 2i

i + (-i) = 0

Subtraction edit

i - 0 = i

i - i = 0

i - (-i) = 2i

Multiplication edit

i x 0 = 0

i x i = i² = -1

i x (-i) = -i² = 1

Division edit

i / 0 = Error

i / i = 1

i / (-i) = -1

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