Algebra 2
Algebra 2 / Trig Name
Section 5.4 Complex Numbers Block Date
Review:
[pic]_______ because ____ * ____ = 4
[pic]_______ because ____ * ____ = 9
[pic]_______
Imaginary Numbers
Imaginary number = _______________ Symbol = ___________
Ex: [pic] Ex: [pic] Ex: [pic]
i = i2 =
Complex Numbers
Complex numbers = combine imaginary and real numbers Ex. 5 + 3i
Adding and Subtracting
Add the corresponding numbers and imaginary coefficients
Examples:
1. (3 + 4i) + (5 – 3i) = 2. (2+ 3i) – (4 – 2i) = 3. (2 – 4i) – (-2 + 3i) =
Practice:
4. (5 + 6i) + (4 – 2i) = 5. (3+ 8i) – (12 – 10i) = 6. (1 – 11i) – (-4 + 9i) =
Multiplication
****When multiplying it is important to remember the powers of i****
Examples:
1. 5i(-2 + i ) = 2. (7 – 4i) (-1 + 2i) = 3. (6 + 3i) (6 – 3i) =
Practice:
4. 6i(-10 + 3i) = 5. (11 – 2i) (-5 + 7i) = 6. (5 + 4i) (8 – 10i) =
Division
In order to divide you need to multiply the numerator or denominator by the conjugate of the denominator.
Examples:
1. [pic] 2. [pic]
Practice:
3. [pic] 4. [pic]
5. [pic] 6. [pic]
Homework: Page 277 #37, 39, 41, 47-60 First Column
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related searches
- algebra 2 worksheet and answers
- algebra 2 logarithms pdf
- algebra 2 piecewise function worksheet
- algebra 2 absolute value worksheet
- algebra 2 book glencoe pdf
- glencoe algebra 2 textbook pdf
- algebra 2 logarithms worksheet answers
- logarithms algebra 2 practice problems
- algebra 2 equations and inequalities
- algebra 2 inequalities worksheet
- mcdougal littell algebra 2 workbook
- mcdougal littell algebra 2 online textbook