Evaluate, Simplify, and Translate Expressions: example 2.25

ⓐ There are two operation words: times tells us to multiply and sum tells us to add. Because we are multiplying $5$ times the sum, we need parentheses around the sum of $m$ and $n.$

five times the sum of $m$ and $n$
$\begin{array}{}\\ \\ 5\left(m+n\right)\hfill \end{array}$

ⓑ To take a sum, we look for the words of and and to see what is being added. Here we are taking the sum of five times $m$ and $n.$

the sum of five times $m$ and $n$
$\begin{array}{}\\ \\ 5m+n\hfill \end{array}$

Notice how the use of parentheses changes the result. In part ⓐ, we add first and in part ⓑ, we multiply first.