Imaginary And Complex Numbers Practice printable pdf download

Imaginary And Complex Numbers Practice

Complex Numbers and Powers of i

is the unique number for which =

−1 and

= −1 .

The Number -

Imaginary Number – any number that can be written in the form +

, where

≠ 0.

and are real numbers and

Complex Number – any number that can be written in the form +

, where

and are real numbers. (Note: and both can be 0.) The union of the set of

all imaginary numbers and the set of all real numbers is the set of complex

numbers.

Addition / Subtraction - Combine like terms (i.e. the real parts with real

parts and the imaginary parts with imaginary parts).

2 − 3 − 4 − 6

2 − 3 − 4 + 6

Example -

−2 + 3

Multiplication - When multiplying square roots of negative real numbers,

begin by expressing them in terms of .

−4 ∙

−8

−1 ∙

4 ∙

−1 ∙

Example -

∙ 2 ∙ ∙ 2 2

∙ 4 2

−1 ∙ 4 2

− 4 2

Note: The answer is not +4 2, which could be calculated

erroneously if the radicands were simply multiplied as

−4 ∙

−8 ≠

−4 −8 ≠

Imaginary And Complex Numbers Practice