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Mathematics > Course Model Precalculus (Advanced Course) > The Complex Number System
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Mathematics | Course : Model Precalculus (Advanced Course)

Domain - The Complex Number System

Cluster - Perform arithmetic operations with complex numbers.

[PC.N-CN.A.3] - (+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.

Resources:


  • Complex number
    A number that can be written as the sum or difference of a real number and an imaginary number.
  • Conjugate
    The result of writing the sum of two terms as a difference, or vice versa. For example, the conjugate of x – 2 is x + 2.
  • Modulus of a complex number
    The distance between a complex number and the origin on the complex plane. The absolute value of a + bi is written |a + bi|, and the formula for |a + bi| is √a2+b2. For a complex number in polar form, r(cos θ + i sin θ), the modulus is r.

Predecessor Standards:

No Predecessor Standards found.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • AII.N-CN.A.2
    Use the relation i2 = –1 and the Commutative, Associative, and Distributive properties to add, subtract, and multiply complex numbers.
  • MII.N-CN.A.2
    Use the relation i2 = –1 and the Commutative, Associative, and Distributive properties to add, subtract, and multiply complex numbers.
  • PC.N-CN.B.4
    (+) Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number.
  • PC.N-CN.B.5
    (+) Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation. For example: (-1+√3i)3=8 because (-1+ √3i) has modulus 2 and argument 120°.