Question
Answer
$$-(7.8-8.8i)+8.8-0.9i=8i+1$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-(7.8-8.8i)+8.8-0.9i& \xlongequal{ }-(7.8-8i)+8.8-0i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-7+8i+8.8-0i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}8i+1\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left(7-8i \right) = -7+8i $$ |
| ② | Combine like terms: $$ \color{blue}{-7} + \color{red}{8i} + \color{blue}{8} \color{red}{0i} = \color{red}{8i} + \color{blue}{1} $$ |
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