Math II · N-CN.1

Understand i as a number with i^2=-1 and represent complex numbers as a+bi.

Understand i as a number with i^2=-1 and represent complex numbers as a+bi.

Concept Number and Quantity
Domain The Complex Number System
Problem Types

Problem Templates In This Objective

10 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Simplify powers of $i$ using the repeating cycle $i, -1, -i, 1$

4 variants
Template 2

Rewrite square roots of negative numbers in terms of i

4 variants
Template 3

Identify separate real and imaginary numeric parts

4 variants
Template 4

Rewrite a simple complex expression in standard form a+bi

4 variants
Template 5

Classify a complex number as real, pure imaginary, or complex non-real

4 variants
Template 6

Plot a complex number a+bi on the complex plane

4 variants
Template 7

Solve equations of the form x² = a negative number using i

4 variants
Template 8

Simplify expressions with i and write the result in standard complex form

4 variants
Template 9

Decide whether two complex expressions are equal by simplifying to a+bi

4 variants
Template 10

Write the complex number represented by a point on the complex plane

4 variants