# Solve for: 21.75+2.28

## Expression: $21.75+2.28$

Add the digits of the bolded column $5+8=13$

$\begin{matrix}\:\:&2&1&.&7&\bold{5}\\+&0&2&.&2&\bold{8}\end{matrix}$

Carry $1$ to the column on the left and write $3$ in the bolded column

$\frac{\begin{matrix}\:\:&\:\:&\:\:&\:\:&1&\bold{\:\:}\\\:\:&2&1&.&7&\bold{5}\\+&0&2&.&2&\bold{8}\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\:\:&\bold{3}\end{matrix}}$

Add the digits of the bolded column $1+7+2=10$

$\frac{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\bold{1}&\:\:\\\:\:&2&1&.&\bold{7}&5\\+&0&2&.&\bold{2}&8\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\bold{\:\:}&3\end{matrix}}$

Carry $1$ to the column on the left and write $0$ in the bolded column

$\frac{\begin{matrix}\:\:&\:\:&1&\:\:&\bold{1}&\:\:\\\:\:&2&1&.&\bold{7}&5\\+&0&2&.&\bold{2}&8\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&\bold{0}&3\end{matrix}}$

Place the decimal point in the answer directly below the decimal points in the terms

$\frac{\begin{matrix}\:\:&\:\:&1&\bold{\:\:}&1&\:\:\\\:\:&2&1&\bold{.}&7&5\\+&0&2&\bold{.}&2&8\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\bold{.}&0&3\end{matrix}}$

Add the digits of the bolded column $1+1+2=4$

$\frac{\begin{matrix}\:\:&\:\:&\bold{1}&\:\:&1&\:\:\\\:\:&2&\bold{1}&.&7&5\\+&0&\bold{2}&.&2&8\end{matrix}}{\begin{matrix}\:\:&\:\:&\bold{4}&.&0&3\end{matrix}}$

Add the digits of the bolded column $2+0=2$

$\frac{\begin{matrix}\:\:&\bold{\:\:}&1&\:\:&1&\:\:\\\:\:&\bold{2}&1&.&7&5\\+&\bold{0}&2&.&2&8\end{matrix}}{\begin{matrix}\:\:&\bold{2}&4&.&0&3\end{matrix}}$

Write the numbers one under the other, line up the decimal points. Add trailing zeroes so the numbers have the same length.

$\begin{matrix}\:\:&2&1&.&7&5\\+&0&2&.&2&8\end{matrix}$ $=24.03$

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