Question Video: Deciding Whether a Given Number Is Real- Imaginary- or Complex Mathematics • 10th Grade

What type of number is −3 + 5𝑖? [A] real [B] purely imaginary [C] complex

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Video Transcript

What type of number is negative three plus five 𝑖? Is it (A) real, (B) purely imaginary, or (C) complex?

The number negative three plus five 𝑖 is made up of two parts: a real part, negative three, and an imaginary part, five 𝑖. We recall that any number written in the form 𝑎 plus 𝑏𝑖 is a complex number. 𝑎 and 𝑏 must be nonzero real values and in this case are equal to negative three and five. The correct answer is option (C). The number negative three plus five 𝑖 is a complex number.

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