Math  /  Algebra

QuestionIn 3-5 sentences, describe why real numbers and purely imaginary numbers are also complex numbers composed of real and imaginary parts. Also, describe how to identify the real part versus the imaginary part of a complex number. (4 points)
B I U x\sqrt{x}
Short Answer Rubric (4 points)
Points Awarded Criteria
4 The answer is very clear.

Studdy Solution
Real numbers and purely imaginary numbers are *both* complex numbers.
A complex number has the form a+bia + bi, where aa is the real part and bb is the imaginary part.
A real number, like 55, can be written as 5+0i5 + 0i, making it complex with an imaginary part of zero.
A purely imaginary number, like 3i3i, can be written as 0+3i0 + 3i, making it complex with a real part of zero.
To identify the parts, just look: aa is the real part, and bb (the number multiplied by ii) is the imaginary part.

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