7.01 Add decimals

Use a vertical algorithm.

Write it in a vertical algorithm.

\begin{array}{c} &&1&8&3&2 \\ +& &6&3&6&1 \\ \hline \\ \hline \end{array}

Add the values down each column.\begin{array}{c} &&{}^11&8&3&2 \\ +& &6&3&6&1 \\ \hline &&8&1&9&3\\ \hline \end{array}

Use a vertical algorithm.

Write it in a vertical algorithm.

\begin{array}{c} &&0&.&1&7 \\ + &&0 &.&5&2\\ \hline \\ \hline \end{array}

Add the values down each column and copy the decimal point in the same position.\begin{array}{c} &&0&.&1&7 \\ + &&0 &.&5&2\\ \hline & &0&.&6&9 \\ \hline \end{array}

Use a vertical algorithm.

Write it in a vertical algorithm.

\begin{array}{c} &&1&3&.&7&4 \\ + &&3&7&.&2&6 \\ \hline \\ \hline \end{array}

First we add the hundredths to get 4+6 =10. So we write 0 in the hundredths column and carry the 1 to the tenths column.

\begin{array}{c} &&1&3&.&{}^17&4 \\ + &&3&7&.&2&6 \\ \hline &&&&&&0 \\ \hline \end{array}

Next we add the tenths to get 1+7+2 =10. So we write 0 in the tenths column and carry the 1 to the units column. We should also copy the decimal point down.

\begin{array}{c} &&1&{}^13&.&{}^17&4 \\ + &&3&7&.&2&6 \\ \hline &&&&.&0&0 \\ \hline \end{array}

Next we add the units to get 1+3+7 =11. So we write 1 in the units column and carry the 1 to the tens column.

\begin{array}{c} &&{}^11&{}^13&.&{}^17&4 \\ + &&3&7&.&2&6 \\ \hline &&&1&.&0&0 \\ \hline \end{array}

Lastly we add the tens to get 1+1+3 =5. So we write 5 in the tens column.

\begin{array}{c} &&{}^11&{}^13&.&{}^17&4 \\ + &&3&7&.&2&6 \\ \hline &&5&1&.&0&0 \\ \hline \end{array}