Blue Red Simple Lined Operations on Complex Numbers Portrait Educational Poster

Operations on
Complex Numbers

Computation is less complex if you
know these rules.

i is for imaginary number. Its value is √-1

Addition

(a + bi) + (c + di) = (a + c) + (b + d)i

Get the sum of the Get the sum of the
real numbers. imaginary numbers.

Subtraction

(a + bi) - (c + di) = (a - c) + (b - d)i

Subtract the real Subtract the
numbers. imaginary numbers.

Multiplication

Use FOIL method then combine like terms.

(a + bi)(c + di) = (ac-bd) + (ad+bc)i

First, Outer, Inner, and Last, (FOIL)
bi⋅di = bd i2 = bd (√-1)2
= bd (-1) = –bd

Division

(a + bi) (a + bi) (c - di) (ac+bd) + (bc-ad)i
(c + di) = (c + di) · (c - di) =
c2 + d2

Multiply both the numerator and the Simplify.
denominator by the conjugate of the

denominator.

Resource Page

Title Subheading 1 Subheading 2

Subtitle Copy Body Copy

Resource Page

Title Subheading 1 Subheading 2

Subtitle Copy Body Copy

Resource Page

Title Subheading 1 Subheading 2

Subtitle Copy Body Copy

Resource Page

Title Subheading 1 Subheading 2

Subtitle Copy Body Copy

Resource Page

Title Subheading 1 Subheading 2

Subtitle Copy Body Copy

Resource Page

Title Subheading 1 Subheading 2

Subtitle Copy Body Copy

Resource Page

Title Subheading 1 Subheading 2

Subtitle Copy Body Copy

Resource Page

Title Subheading 1 Subheading 2

Subtitle Copy Body Copy

Resource Page

Title Subheading 1 Subheading 2

Subtitle Copy Body Copy

Resource Page

Title Subheading 1 Subheading 2

Subtitle Copy Body Copy

Resource Page

Title Subheading 1 Subheading 2

Subtitle Copy Body Copy

Resource Page

Title Subheading 1 Subheading 2

Subtitle Copy Body Copy

Resource Page

Title Subheading 1 Subheading 2

Subtitle Copy Body Copy