Arithmetic Course/Types of Number/Imaginary Number

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Imaginary Number[edit]

Imaginary Number is defined as

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 = ∞
i / i = 1
i x (-i) = -1