Question
Answer
$$5+9\cdot\dfrac{i}{1}+i=10i+5$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5+9 \cdot \frac{i}{1}+i& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5+9i+i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}10i+5\end{aligned} $$ | |
| ① | Multiply $9$ by $ \dfrac{i}{1} $ to get $ 9i$. Step 1: Write $ 9 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 9 \cdot \frac{i}{1} & \xlongequal{\text{Step 1}} \frac{9}{\color{red}{1}} \cdot \frac{i}{1} \xlongequal{\text{Step 2}} \frac{ 9 \cdot i }{ 1 \cdot 1 } \xlongequal{\text{Step 3}} \frac{ 9i }{ 1 } = \\[1ex] &=9i \end{aligned} $$ |
| ② | Combine like terms: $$ 5+ \color{blue}{9i} + \color{blue}{i} = \color{blue}{10i} +5 $$ |
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