Scientific notation

Scientific notation is a common number notation used to express large and small numbers in the form $$x \cdot 10^y$$, where $$1 \leq |a| < 10$$ and $$y \in Z$$. In general, the formulas for finding $$x$$ and $$y$$ are

$$ \begin{align}{ccl} x &=& \frac{n}{10^{\left\lfloor log_{10} |N|\right\rfloor}} y &=& \left\lfloor log_{10} |N|\right\rfloor \end{align} $$