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5.8: Defining Complex Numbers

Difficulty Level: At Grade Created by: CK-12
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Vocabulary

i

i is an imaginary number. i=\sqrt{-1}.

Absolute Value

The absolute value of a number is the distance the number is from zero. The absolute value of a complex number is the distance from the complex number on the complex plane to the origin.

Complex Conjugate

Complex conjugates are pairs of complex binomials. The complex conjugate of a+bi is a-bi. When complex conjugates are multiplied, the result is a single real number.

i

i is an imaginary number. i=\sqrt{-1}.

Imaginary Number

An imaginary number is a number that can be written as the product of a real number and i.

imaginary part

The imaginary part of a complex number a+bi is bi.

Pure Imaginary Numbers

The pure imaginary numbers are the subset of complex numbers without real parts, only bi.

Real Number

A real number is a number that can be plotted on a number line. Real numbers include all rational and irrational numbers.

real part

The real part of a complex number a+bi is a.

rectangular coordinates

A point is written using rectangular coordinates if it is written in terms of x and y and can be graphed on the Cartesian plane.

rectangular form

The rectangular form of a point or a curve is given in terms of x and y and is graphed on the Cartesian plane.

standard form

The standard form of a complex number is a+bi where a and b are real numbers.

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Difficulty Level:
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Date Created:
Mar 12, 2013
Last Modified:
Sep 07, 2016
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