新符号学 (第14/28页)

>    假设有两个以科学记号表示的数字：

    {\dispystyle{\begin{aligned}x_{1}&=a_{1}\times10^{b_{1}}\\x_{2}&=a_{2}\times10^{b_{2}}\end{aligned}}}

    1

    \begin{align}

    x_1&=a_1\times10^{b_1}\\

    x_2&=a_2\times10^{b_2}

    \end{align}

    则有：

    {\dispystyle{\begin{aligned}x_{1}\cdotx_{2}&=a_{1}a_{2}\times10^{b_{1} b_{2}}\\{\frac{x_{1}}{x_{2}}}&={\frac{a_{1}}{a_{2}}}\times10^{b_{1}-b_{2}}\end{aligned}}}

    \begin{align}

    x_1\cdotx_2&=a_1a_2\times10^{b_1 b_2}\\

    \frac{x_1}{x_2}&=\frac{a_1}{a_2}\times10^{b_1-b_2}

    \end{align}

    1

    例如:

    {\di