# Question #c181d

Apr 6, 2017

$75.448$

#### Explanation:

Given:$\text{ } \textcolor{g r e e n}{75.447} \textcolor{red}{8}$

This is the same as:

$\textcolor{g r e e n}{\frac{75}{1} + \frac{4}{10} + \frac{4}{100} + \frac{7}{1000}} \textcolor{red}{+ \frac{8}{10000}}$

We are looking at the $\frac{7}{1000}$

The trigger is: if the next numerator (decimal value) is less than 5 we do not change the 7 in $\frac{7}{1000}$ and any digits to its right are considered as zero so we would have: $75.447$

However; the trigger value to the right of $\textcolor{g r e e n}{\frac{7}{1000}}$ is $\textcolor{red}{8}$. As this satisfies the condition of 'equal to or more than 5' we round the 7 up by 1 digit. So we end up with:

$75.448$