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Chapter 1 Section 6
Perform Operations with Complex Numbers
6
Mathematics
10th Grade
10/14/2014

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Term
imaginary unit i
Definition
i =√-1 , so i^2 = -1 , and so on (up to i^4, then it repeats)
Term
complex number
Definition
a number a+bi where a and b are real numbers and i is the imaginary unit
Term
imaginary number
Definition
a complex number a+bi where b does not = 0
Term
complex conjugates
Definition
two complex numbers of the form a+bi and a-bi
Term
complex plane
Definition
a coordinate plane in which each point (a,b) represents a complex number a+bi. The horizontal axis is the real axis and the vertical axis is the imaginary axis.
Term
absolute value of a complex number
Definition
if z = a+bi, then the absolute value of z, denoted as |z|, is a nonnegative real number defined as |z| =√(a^2+b^2)
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