Align numbers vertically: Align the numbers vertically by their decimal points to prepare for addition.0.422+7.41
Add numbers with carrying: Add the numbers starting from the rightmost digit, carrying over if necessary.Since there is no digit in the hundredths place for 7.41, we can treat it as 7.410.Now, we add the numbers column by column.\begin{align*}&\phantom{+}0.422(\newline\)&+7.410(\newline\)\hline&\phantom{+}7.832\end{align*}