Adding and subtracting complex numbers - Complex Numbers

Adding and subtracting complex numbers

Much like any other types of numbers (i.e. whole numbers, real numbers, natural numbers ...etc.), we can apply different types of operations on complex numbers. In this section, we will learn how to perform addition and subtraction on complex numbers.

Basic concepts:
Adding functions
Subtracting functions

Related concepts:
Imaginary zeros of polynomials
Adding and subtracting vectors in component form

Lessons

1.
Adding complex numbers
2.
Subtracting complex numbers

Adding and subtracting complex numbers

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AlgebraSubtracting functions

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Lesson: 1a

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Lesson: 1b

Lesson: 1c

Lesson: 2a

Lesson: 2b

Lesson: 2c

Lesson: 3

Intro

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Practice

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Don't just watch, practice makes perfect.

Do better in math today

Don't just watch, practice makes perfect.

Lessons

1.

Adding complex numbers

a)

(3+4i)+(9+3i) (3+4i)+(9+3i) (3+4i)+(9+3i)

b)

(12−3i)+(−2+2i)+(5i+1) (\frac{1}{2}-3i)+(-2+2i)+(5i+1) (21​−3i)+(−2+2i)+(5i+1)

c)

(6−5i)+(−4+7i)+(4i−2) (6-5i)+(-4+7i)+(4i-2) (6−5i)+(−4+7i)+(4i−2)

2.

Subtracting complex numbers

a)

(7+9i)−(5+i) (7+9i)-(5+i) (7+9i)−(5+i)

b)

(1−3i)−(16+2i)−(13−i) (1-3i)-(\frac{1}{6}+2i)-(\frac{1}{3}-i) (1−3i)−(61​+2i)−(31​−i)

c)

(10−12i)−(−4−10i)+2i (10-12i)-(-4-10i)+2i (10−12i)−(−4−10i)+2i

3.

Adding/subtracting complex numbers graphically (2+2i)+(3+i) (2+2i)+(3+i) (2+2i)+(3+i)

Adding and subtracting complex numbers

Don't just watch, practice makes perfect.

We have over 1850 practice questions in Algebra for you to master.

Algebra
Adding functions

Algebra
Subtracting functions

or

$(3+4i)+(9+3i)$

$(\frac{1}{2}-3i)+(-2+2i)+(5i+1)$

$(6-5i)+(-4+7i)+(4i-2)$

$(7+9i)-(5+i)$

$(1-3i)-(\frac{1}{6}+2i)-(\frac{1}{3}-i)$

$(10-12i)-(-4-10i)+2i$

Adding/subtracting complex numbers graphically
$(2+2i)+(3+i)$