z=-24-12.7 i What are the real and imaginary parts of z ? Choose 1 answer: (A) {:[Re(z)=-24" and "],[Im(z)=-12.7]:} (B) {:[Re(z)=-24" and "],[Im(z)=-12.7 i]:} (c) {:[Re(z)=-12.7" and "],[Im(z)=-24]:} (D) {:[Re(z)=-12.7 i" and "],[Im(z)=-24]:}

Identify real part: Identify the real part of the complex number. The real part of a complex number is the term without the imaginary unit i. In the given complex number z = -24 - 12.7i, the real part is -24.Identify imaginary part: Identify the imaginary part of the complex number. The imaginary part of a complex number is the coefficient of the imaginary unit i. In the given complex number z = -24 - 12.7i, the imaginary part is the coefficient -12.7, not -12.7i.Match real and imaginary parts: Match the real and imaginary parts with the given choices. The real part is Re(z) = -24, and the imaginary part is Im(z) = -12.7. The correct choice must reflect these values without the imaginary unit i for the imaginary part.

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z=-24-12.7 i
What are the real and imaginary parts of
z ?
Choose 1 answer:
(A)

{:[Re(z)=-24" and "],[Im(z)=-12.7]:}
(B)

{:[Re(z)=-24" and "],[Im(z)=-12.7 i]:}
(c)

{:[Re(z)=-12.7" and "],[Im(z)=-24]:}
(D)

{:[Re(z)=-12.7 i" and "],[Im(z)=-24]:}

$z=-24-12.7 i$ $\newline$ What are the real and imaginary parts of $z$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\newline$ $\begin{array}{l} \operatorname{Re}(z)=-24 \text { and } \\ \operatorname{Im}(z)=-12.7 \end{array}$ $\newline$ (B) $\newline$ $\begin{array}{l} \operatorname{Re}(z)=-24 \text { and } \\ \operatorname{Im}(z)=-12.7 i \end{array}$ $\newline$ (C) $\newline$ $\begin{array}{l} \operatorname{Re}(z)=-12.7 \text { and } \\ \operatorname{Im}(z)=-24 \end{array}$ $\newline$ (D) $\newline$ $\begin{array}{l} \operatorname{Re}(z)=-12.7 i \text { and } \\ \operatorname{Im}(z)=-24 \end{array}$

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Full solution

z=-24-12.7 i

\newline

What are the real and imaginary parts of

z

\newline

Choose

1

answer:

\newline

(A)

\newline

\begin{array}{l} \operatorname{Re}(z)=-24 \text { and } \\ \operatorname{Im}(z)=-12.7 \end{array}

\newline

(B)

\newline

\begin{array}{l} \operatorname{Re}(z)=-24 \text { and } \\ \operatorname{Im}(z)=-12.7 i \end{array}

\newline

(C)

\newline

\begin{array}{l} \operatorname{Re}(z)=-12.7 \text { and } \\ \operatorname{Im}(z)=-24 \end{array}

\newline

(D)

\newline

\begin{array}{l} \operatorname{Re}(z)=-12.7 i \text { and } \\ \operatorname{Im}(z)=-24 \end{array}

Identify real part: Identify the real part of the complex number. $\newline$ The real part of a complex number is the term without the imaginary unit $i$ . In the given complex number $z = -24 - 12.7i$ , the real part is $-24$ .
Identify imaginary part: Identify the imaginary part of the complex number. $\newline$ The imaginary part of a complex number is the coefficient of the imaginary unit $i$ . In the given complex number $z = -24 - 12.7i$ , the imaginary part is the coefficient $-12.7$ , not $-12.7i$ .
Match real and imaginary parts: Match the real and imaginary parts with the given choices. $\newline$ The real part is $\text{Re}(z) = -24$ , and the imaginary part is $\text{Im}(z) = -12.7$ . The correct choice must reflect these values without the imaginary unit $i$ for the imaginary part.