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{:[z=-13-52 i],[Re(z)=],[Im(z)=]:}

$\begin{array}{l}z=-13-52 i \\ \operatorname{Re}(z)= \\ \operatorname{Im}(z)=\end{array}$

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Domain and range of absolute value functions: equations

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Q.

\begin{array}{l}z=-13-52 i \\ \operatorname{Re}(z)= \\ \operatorname{Im}(z)=\end{array}

Identify real and imaginary parts: Identify the real part (Re( $z$ )) and the imaginary part (Im( $z$ )) of the complex number $z = -13 - 52i$ . $\newline$ A complex number is in the form $a + bi$ , where $a$ is the real part and $b$ is the coefficient of the imaginary part $i$ . $\newline$ For $z = -13 - 52i$ , the real part is $-13$ and the imaginary part is $-52$ (without the $i$ ).
Verify correctness of identification: Verify that there are no mathematical errors in identifying the real and imaginary parts. $\newline$ The real part is simply the number without the $i$ , and the imaginary part is the coefficient of $i$ . $\newline$ There are no additional terms or operations to consider, so there is no room for a math error in this step.

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