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UNIT 9 LESSON 2
COMPLEX NUMBER
OPERATIONS
COLLEGE PREP
OBJECTIVES
• Add or Subtract complex numbers
• Multiply or divide complex numbers
COMPLEX NUMBERS
Complex Numbers have a real and an imaginary part.
Standard form of a complex number is
𝑎 + 𝑏𝑖where “𝑎” is the real part and “𝑏𝑖” is the imaginary part of
the number.
Ex: 7 + 6𝑖
COMPLEX NUMBERS – ADD, SUBTRACT
Just like polynomials, in order to add and subtract
complex numbers you must combine like terms.
In complex numbers like terms are the real parts and
imaginary parts.
EX: 5 + 3𝑖 + 10 − 12𝑖 = 15 − 9𝑖
Add, Subtract Complex Numbers
1. Write in standard form 𝑎 + 𝑏𝑖
2. Combine like terms
• real combines with real
• imaginary combines with imaginary
3. Simplify if needed
Add, Subtract Complex Numbers
Add or Subtract
A. 2 + 3𝑖 + (−6 + 7𝑖) B. 5 + −36 − (2 − −49)
Add or subtract:(you do)
C. 2 − 3𝑖 + −4 + 3𝑖 D. 6 − 4𝑖 − −3 + 𝑖
E. 8 + 5𝑖 − (10 − 2𝑖) F. 𝑖3 + 𝑖5 + 𝑖17 + 𝑖4
Multiply Complex Numbers
1. Write in standard form 𝑎 + 𝑏𝑖
2. Multiply using standard distribution
3. Simplify if necessary
• REMINDER: 𝑖2 = −1
Multiply Complex Numbers
Multiply
G. −49 ⋅ −4 H. 2𝑖(5 − 3𝑖)
Multiply Complex Numbers
Multiply
I. (5 − 2𝑖)(−1 + 3𝑖) J. (3 + 2𝑖)(3 − 2𝑖)
Multiply Complex Numbers
Multiply
K. 2 − 3𝑖 2 L. 𝑖3 ⋅ 𝑖5 ⋅ 𝑖17 ⋅ 𝑖4
OBJECTIVES
• Add or Subtract complex numbers
• Multiply or divide complex numbers
HOMEWORK
In Class Assignment C9.2
Homework H9.2
EDPuzzle Q9.2