Question

Write the following in the expanded notation

$99.999$

Answer 1

Expand the given number as follows:

$$\begin{gathered} 99.999 \\ =9\times 10+9\times 1+0.9+0.09+0.009 \\ =90+9+\frac{9}{10}+\frac{9}{100}+\frac{9}{1000} \end{gathered}$$

Hence, the expanded notation of $99.999$ is $90+9+\frac{9}{10}+\frac{9}{100}+\frac{9}{1000}$