Question
Answer
$$7\cdot\dfrac{i}{7}+9i=10i$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}7 \cdot \frac{i}{7}+9i& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}i+9i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}10i\end{aligned} $$ | |
| ① | Multiply $7$ by $ \dfrac{i}{7} $ to get $ i$. Step 1: Write $ 7 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Cancel $ \color{blue}{ 7 } $ in first and second fraction. Step 3: Multiply numerators and denominators. Step 4: Simplify numerator and denominator. $$ \begin{aligned} 7 \cdot \frac{i}{7} & \xlongequal{\text{Step 1}} \frac{7}{\color{red}{1}} \cdot \frac{i}{7} \xlongequal{\text{Step 2}} \frac{\color{blue}{1}}{1} \cdot \frac{i}{\color{blue}{1}} = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 1 \cdot i }{ 1 \cdot 1 } \xlongequal{\text{Step 4}} \frac{ i }{ 1 } =i \end{aligned} $$ |
| ② | Combine like terms: $$ \color{blue}{i} + \color{blue}{9i} = \color{blue}{10i} $$ |
This page was created using
Complex Expression calculator