P.7 Complex Numbers SYMKC Flashcards
imaginary number
the set of all numbers of the form
complex number (C)
What is the standard form of a complex number?
1, 2, 3, 4, 5, …..
Natural numbers (counting numbers) abbreviated with the letter N
0, 1, 2, 3, 4, 5, …..
Whole numbers abbreviated with the letter W
Fractions, decimals that repeat, roots that simplify completely, decimals that terminate (end), and any natural, whole, or integer number
Rational abbreviated with the letter Q
…-3, -2, -1, 0, 1, 2, 3, …
Integers abbreviated with the letter Z
Roots that do not simplify, decimals that never end and do not repeat, and special numbers like “pi” and “e”
Irrational numbers abbreviated with the letter (I) or (P)
Numbers that are Natural, whole, integers, rational, and irrational
Real numbers abbreviated with the letter (R)
Numbers that have the imaginary unit
imaginary numbers
numbers that have the imaginary unit but with out the real part
pure imaginary number
-1
1
-1
1
Conjugate of
Conjugate of
For a fraction to be considered completely simplified, we must remember to
Remove all roots out of the denominator.
Remove all imaginary numbers out of the denominator.
All common factors from the numerator and denominator have been cancelled.
If you perform operations with roots of negative numbers, what must you remember to do first?
Take the negative out of the root and make it “i” (if an even root), then do the addition, subtraction, multiplication or division. Never to arithmetic operations before simplifying the “i”. It leads to contradictory results.
