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- Common Core MathK - 8High School

# Number and Quantity: The Complex Number System

557 questions23 skills

# Number and Quantity: The Complex Number System

557 questions23 skills

## HSN-CN.A.1

120 questions4 skills

Know there is a complex number

*i*such that*i*^{2}= –1, and every complex number has the form*a + bi*with*a*and*b*real.## HSN-CN.A.2

120 questions4 skills

Use the relation

*i*^{2}= –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.## HSN-CN.A.3

76 questions3 skills

Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.

## HSN-CN.B.4

129 questions6 skills

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.

## HSN-CN.B.5

100 questions5 skills

Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation.

## HSN-CN.B.6

60 questions2 skills

Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of a segment as the average of the numbers at its endpoints.

## HSN-CN.C.7

30 questions1 skill

Solve quadratic equations with real coefficients that have complex solutions.

## HSN-CN.C.8

12 questions1 skill

Extend polynomial identities to the complex numbers.

Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.

Skills for this standard are coming soon.