Determine whether the following numbers are complex numbers and classify them: , , . The classification for is _________, for is ________, and for is _________.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to classify complex numbers into real, pure imaginary, and imaginary numbers.
Key Concept Explanation
A real number has an imaginary part of 0, e.g., .
A pure imaginary number has a real part of 0 and a non-zero imaginary part, e.g., .
An imaginary number has a non-zero imaginary part, e.g., .
Step-by-step Solution
1. Classify : It is a real number because it has no imaginary part (
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