Question
Answer
$$0\cdot\dfrac{1}{x}=0$$
Explanation
| $$ \begin{aligned}0\cdot\frac{1}{x}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{0}{x} \xlongequal{ } \\[1 em] & \xlongequal{ }0\end{aligned} $$ | |
| ① | Multiply $0$ by $ \dfrac{1}{x} $ to get $ \dfrac{ 0 }{ x } $. Step 1: Write $ 0 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 0 \cdot \frac{1}{x} & \xlongequal{\text{Step 1}} \frac{0}{\color{red}{1}} \cdot \frac{1}{x} \xlongequal{\text{Step 2}} \frac{ 0 \cdot 1 }{ 1 \cdot x } \xlongequal{\text{Step 3}} \frac{ 0 }{ x } \end{aligned} $$ |
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