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What are the real and imaginary parts of the following complex numbers: i) -3 - 4i, ii) 20 + 4i, iii) -1 - 2i, iv) 4 - i?

Mathematics

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Answers

4 parts
i
-3
-4
ii
20
4
iii
-1
-2
iv
4
-1

Step-by-step solution

4 steps

To find the real and imaginary parts of a complex number z=a+biz = a+bi, the real part is aa and the imaginary part is bb.

Part i· 1 step

−3−4i-3 - 4i

  1. Identify the real and imaginary components.

    The real part is the term without ii.
    The imaginary part is the coefficient of ii.
    Real part: −3\boxed{-3}
    Imaginary part: −4\boxed{-4}

Part ii20

20+4i20 + 4i

  1. Identify the real and imaginary components.

    Real part: 20\boxed{20}
    Imaginary part: 4\boxed{4}

Part iii-1

−1−2i-1 - 2i

  1. Identify the real and imaginary components.

    Real part: −1\boxed{-1}
    Imaginary part: −2\boxed{-2}

Part iv4

4−i4 - i

  1. Identify the real and imaginary components.

    Note that −i-i is equivalent to −1i-1i.
    Real part: 4\boxed{4}
    Imaginary part: −1\boxed{-1}

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