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N-CN.1 Warmup M2-055-A05-V02

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

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

Problem

Write \(-4i\) as \(0-4i\). Using the mutually exclusive categories real, pure imaginary, and complex with \(\text{both}~\text{parts}~\text{nonzero}\), classify the number and justify the category from its coefficients.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
N-CN.1
Category
Number and Quantity
Domain
The Complex Number System
Objective
Understand i as a number with i^2=-1 and represent complex numbers as a+bi.
Problem type
Classify a complex number as real, pure imaginary, or complex non-real