When we add with multi-digit numbers with decimals, we start with the numbers furthest to the right and work our way towards the left.

Add the numbers in the hundredths place:

\(\displaystyle {4+1=5}\)

Your work should look something like this:

\(\displaystyle \begin{array}{r}\overset{\ ~}{4} \overset{\ ~}{3.}\overset{\ ~}{1}4\\ + \overset{\ ~ }{1}\overset{\ ~ }{3.}\overset{ }{3} \overset{~\ }{1} \\ \hline \space{} \, \space{\, } \space{\, }5\end{array}\)

Add the numbers in the tenths place:

\(\displaystyle {1+3=4}\)

Your work should look something like this:

*Notice that the decimal moves directly down when we are adding decimal numbers.

\(\displaystyle \begin{array}{r}\overset{\ ~}{4} \overset{\ ~}{3.}\overset{\ ~}{1}4\\ + \overset{\ ~ }{1}\overset{\ ~ }{3.}\overset{ }{3} \overset{~\ }{1} \\ \hline \space{} \, \space{\,. }4\space{\, }5\end{array}\)

Add the numbers in the ones place:

\(\displaystyle {3+3=6}\)

Your work should look something like this:

\(\displaystyle \begin{array}{r}\overset{\ ~}{4} \overset{\ ~}{3.}\overset{\ ~}{1}4\\ + \overset{\ ~ }{1}\overset{\ ~ }{3.}\overset{ }{3} \overset{~\ }{1} \\ \hline \space{} \, 6\space{\,. }4\space{\, }5\end{array}\)

Your final answer should be: 56.45

\(\displaystyle \begin{array}{r}\overset{\ ~}{4} \overset{\ ~}{3.}\overset{\ ~}{1}4\\ + \overset{\ ~ }{1}\overset{\ ~ }{3.}\overset{ }{3} \overset{~\ }{1} \\ \hline 5\space{} \, 6\space{\,. }4\space{\, }5\end{array}\)

When we add with multi-digit numbers with decimals, we start with the numbers furthest to the right and work our way towards the left.

Add the numbers in the hundredths place:

\(\displaystyle {4+6=10}\)

Because this sum is greater than 9, we write the 0 from the ones place and carry the 1 from the tens place over to the left. Your work should look something like this:

\(\displaystyle \begin{array}{r}\overset{\ ~}{3} \overset{\ ~}{3.}\overset{\ 1}{3}4\\ + \overset{\ ~ }{2}\overset{\ ~ }{0.}\overset{ }{4} \overset{~\ }{6} \\ \hline \space{} \, \space{\, } \space{\, }0\end{array}\)

Add the numbers in the tenths place:

\(\displaystyle {3+4+1=8}\)

Your work should look something like this:

*Notice that the decimal moves directly down when we are adding decimal numbers.

\(\displaystyle \begin{array}{r}\overset{\ ~}{3} \overset{\ ~}{3.}\overset{\ 1}{3}4\\ + \overset{\ ~ }{2}\overset{\ ~ }{0.}\overset{ }{4} \overset{~\ }{6} \\ \hline \space{} \, \space{\,. }8\space{\, }0\end{array}\)

Add the numbers in the ones place:

\(\displaystyle {3+0=3}\)

Your work should look something like this:

\(\displaystyle \begin{array}{r}\overset{\ ~}{3} \overset{\ ~}{3.}\overset{\ 1}{3}4\\ + \overset{\ ~ }{2}\overset{\ ~ }{0.}\overset{ }{4} \overset{~\ }{6} \\ \hline \space{} \, 3\space{\,. }8\space{\, }0\end{array}\)

Your final answer should be: 53.80

\(\displaystyle \begin{array}{r}\overset{\ ~}{3} \overset{\ ~}{3.}\overset{\ 1}{3}4\\ + \overset{\ ~ }{2}\overset{\ ~ }{0.}\overset{ }{4} \overset{~\ }{6} \\ \hline 5\space{} \, 3\space{\,. }8\space{\, }0\end{array}\)

When we add with multi-digit numbers with decimals, we start with the numbers furthest to the right and work our way towards the left.

Add the numbers in the hundredths place:

\(\displaystyle {4+2=6}\)

Your work should look something like this:

\(\displaystyle \begin{array}{r}\overset{\ ~}{2} \overset{\ ~}{8.}\overset{\ ~}{5}4\\ + \overset{\ ~ }{4}\overset{\ ~ }{0.}\overset{ }{1} \overset{~\ }{2} \\ \hline \space{} \, \space{\, } \space{\, }6\end{array}\)

Add the numbers in the tenths place:

\(\displaystyle {5+1=6}\)

Your work should look something like this:

*Notice that the decimal moves directly down when we are adding decimal numbers.

\(\displaystyle \begin{array}{r}\overset{\ ~}{2} \overset{\ ~}{8.}\overset{\ ~}{5}4\\ + \overset{\ ~ }{4}\overset{\ ~ }{0.}\overset{ }{1} \overset{~\ }{2} \\ \hline \space{} \, \space{\,. }6\space{\, }6\end{array}\)

Add the numbers in the ones place:

\(\displaystyle {8+0=8}\)

Your work should look something like this:

\(\displaystyle \begin{array}{r}\overset{\ ~}{2} \overset{\ ~}{8.}\overset{\ ~}{5}4\\ + \overset{\ ~ }{4}\overset{\ ~ }{0.}\overset{ }{1} \overset{~\ }{2} \\ \hline \space{} \, 8\space{\,. }6\space{\, }6\end{array}\)

Your final answer should be: 68.66

\(\displaystyle \begin{array}{r}\overset{\ ~}{2} \overset{\ ~}{8.}\overset{\ ~}{5}4\\ + \overset{\ ~ }{4}\overset{\ ~ }{0.}\overset{ }{1} \overset{~\ }{2} \\ \hline 6\space{} \, 8\space{\,. }6\space{\, }6\end{array}\)

When we add with multi-digit numbers with decimals, we start with the numbers furthest to the right and work our way towards the left.

Add the numbers in the hundredths place:

\(\displaystyle {5+7=12}\)

Because this sum is greater than 9, we write the 2 from the ones place and carry the 1 from the tens place over to the left. Your work should look something like this:

\(\displaystyle \begin{array}{r}\overset{\ ~}{3} \overset{\ ~}{5.}\overset{\ 1}{5}5\\ + \overset{\ ~ }{2}\overset{\ ~ }{5.}\overset{ }{8} \overset{~\ }{7} \\ \hline \space{} \, \space{\, } \space{\, }2\end{array}\)

Add the numbers in the tenths place:

\(\displaystyle {5+8+1=13}\)

Because this sum is greater than 9, we write the 4 from the ones place and carry the 1 from the tens place over to the left. Your work should look something like this:

*Notice that the decimal moves directly down when we are adding decimal numbers.

\(\displaystyle \begin{array}{r}\overset{\ ~}{3} \overset{\ 1}{5.}\overset{\ 1}{5}5\\ + \overset{\ ~ }{2}\overset{\ ~ }{5.}\overset{ }{8} \overset{~\ }{7} \\ \hline \space{} \, \space{\,. }4\space{\, }2\end{array}\)

Add the numbers in the ones place:

\(\displaystyle {5+5+1=11}\)

Because this sum is greater than 9, we write the 1 from the ones place and carry the 1 from the tens place over to the left. Your work should look something like this:

\(\displaystyle \begin{array}{r}\overset{\ 1}{3} \overset{\ 1}{5.}\overset{\ 1}{5}5\\ + \overset{\ ~ }{2}\overset{\ ~ }{5.}\overset{ }{8} \overset{~\ }{7} \\ \hline \space{} \, 1\space{\,. }4\space{\, }2\end{array}\)

Your final answer should be: 61.42

\(\displaystyle \begin{array}{r}\overset{\ 1}{3} \overset{\ 1}{5.}\overset{\ 1}{5}5\\ + \overset{\ ~ }{2}\overset{\ ~ }{5.}\overset{ }{8} \overset{~\ }{7} \\ \hline 6\space{} \, 1\space{\,. }4\space{\, }2\end{array}\)

When we add with multi-digit numbers with decimals, we start with the numbers furthest to the right and work our way towards the left.

Add the numbers in the hundredths place:

\(\displaystyle {7+2=9}\)

Your work should look something like this:

\(\displaystyle \begin{array}{r}\overset{\ ~}{1} \overset{\ ~}{5.}\overset{\ ~}{1}7\\ + \overset{\ ~ }{3}\overset{\ ~ }{1.}\overset{ }{1} \overset{~\ }{2} \\ \hline \space{} \, \space{\, } \space{\, }9\end{array}\)

Add the numbers in the tenths place:

\(\displaystyle {1+1=2}\)

Your work should look something like this:

*Notice that the decimal moves directly down when we are adding decimal numbers.

\(\displaystyle \begin{array}{r}\overset{\ ~}{1} \overset{\ ~}{5.}\overset{\ ~}{1}7\\ + \overset{\ ~ }{3}\overset{\ ~ }{1.}\overset{ }{1} \overset{~\ }{2} \\ \hline \space{} \, \space{\,. }2\space{\, }9\end{array}\)

Add the numbers in the ones place:

\(\displaystyle {5+1=6}\)

Your work should look something like this:

\(\displaystyle \begin{array}{r}\overset{\ ~}{1} \overset{\ ~}{5.}\overset{\ ~}{1}7\\ + \overset{\ ~ }{3}\overset{\ ~ }{1.}\overset{ }{1} \overset{~\ }{2} \\ \hline \space{} \, 6\space{\,. }2\space{\, }9\end{array}\)

Your final answer should be: 46.29

\(\displaystyle \begin{array}{r}\overset{\ ~}{1} \overset{\ ~}{5.}\overset{\ ~}{1}7\\ + \overset{\ ~ }{3}\overset{\ ~ }{1.}\overset{ }{1} \overset{~\ }{2} \\ \hline 4\space{} \, 6\space{\,. }2\space{\, }9\end{array}\)

When we add with multi-digit numbers with decimals, we start with the numbers furthest to the right and work our way towards the left.

Add the numbers in the hundredths place:

\(\displaystyle {5+7=12}\)

Because this sum is greater than 9, we write the 2 from the ones place and carry the 1 from the tens place over to the left. Your work should look something like this:

\(\displaystyle \begin{array}{r}\overset{\ ~}{2} \overset{\ ~}{7.}\overset{\ 1}{1}5\\ + \overset{\ ~ }{1}\overset{\ ~ }{4.}\overset{ }{7} \overset{~\ }{7} \\ \hline \space{} \, \space{\, } \space{\, }2\end{array}\)

Add the numbers in the tenths place:

\(\displaystyle {1+7+1=9}\)

Your work should look something like this:

*Notice that the decimal moves directly down when we are adding decimal numbers.

\(\displaystyle \begin{array}{r}\overset{\ ~}{2} \overset{\ ~}{7.}\overset{\ 1}{1}5\\ + \overset{\ ~ }{1}\overset{\ ~ }{4.}\overset{ }{7} \overset{~\ }{7} \\ \hline \space{} \, \space{\,. }9\space{\, }2\end{array}\)

Add the numbers in the ones place:

\(\displaystyle {7+4+1=12}\)

Because this sum is greater than 9, we write the 1 from the ones place and carry the 1 from the tens place over to the left. Your work should look something like this:

\(\displaystyle \begin{array}{r}\overset{\ 1}{2} \overset{\ ~}{7.}\overset{\ 1}{1}5\\ + \overset{\ ~ }{1}\overset{\ ~ }{4.}\overset{ }{7} \overset{~\ }{7} \\ \hline \space{} \, 1\space{\,. }9\space{\, }2\end{array}\)

Your final answer should be: 41.92

\(\displaystyle \begin{array}{r}\overset{\ 1}{2} \overset{\ ~}{7.}\overset{\ 1}{1}5\\ + \overset{\ ~ }{1}\overset{\ ~ }{4.}\overset{ }{7} \overset{~\ }{7} \\ \hline 4\space{} \, 1\space{\,. }9\space{\, }2\end{array}\)

When we add with multi-digit numbers with decimals, we start with the numbers furthest to the right and work our way towards the left.

Add the numbers in the hundredths place:

\(\displaystyle {0+0=0}\)

Your work should look something like this:

\(\displaystyle \begin{array}{r}\overset{\ ~}{1} \overset{\ ~}{4.}\overset{\ ~}{0}0\\ + \overset{\ ~ }{1}\overset{\ ~ }{7.}\overset{ }{1} \overset{~\ }{0} \\ \hline \space{} \, \space{\, } \space{\, }0\end{array}\)

Add the numbers in the tenths place:

\(\displaystyle {0+1=1}\)

Your work should look something like this:

*Notice that the decimal moves directly down when we are adding decimal numbers.

\(\displaystyle \begin{array}{r}\overset{\ ~}{1} \overset{\ ~}{4.}\overset{\ ~}{0}0\\ + \overset{\ ~ }{1}\overset{\ ~ }{7.}\overset{ }{1} \overset{~\ }{0} \\ \hline \space{} \, \space{\,. }1\space{\, }0\end{array}\)

Add the numbers in the ones place:

\(\displaystyle {4+7+1=12}\)

Because this sum is greater than 9, we write the 1 from the ones place and carry the 1 from the tens place over to the left. Your work should look something like this:

\(\displaystyle \begin{array}{r}\overset{\ 1}{1} \overset{\ ~}{4.}\overset{\ ~}{0}0\\ + \overset{\ ~ }{1}\overset{\ ~ }{7.}\overset{ }{1} \overset{~\ }{0} \\ \hline \space{} \, 1\space{\,. }1\space{\, }0\end{array}\)

Your final answer should be: 31.10

\(\displaystyle \begin{array}{r}\overset{\ 1}{1} \overset{\ ~}{4.}\overset{\ ~}{0}0\\ + \overset{\ ~ }{1}\overset{\ ~ }{7.}\overset{ }{1} \overset{~\ }{0} \\ \hline 3\space{} \, 1\space{\,. }1\space{\, }0\end{array}\)

When we add with multi-digit numbers with decimals, we start with the numbers furthest to the right and work our way towards the left.

Add the numbers in the hundredths place:

\(\displaystyle {6+8=14}\)

Because this sum is greater than 9, we write the 4 from the ones place and carry the 1 from the tens place over to the left. Your work should look something like this:

\(\displaystyle \begin{array}{r}\overset{\ ~}{2} \overset{\ ~}{6.}\overset{\ 1}{1}6\\ + \overset{\ ~ }{3}\overset{\ ~ }{6.}\overset{ }{8} \overset{~\ }{8} \\ \hline \space{} \, \space{\, } \space{\, }4\end{array}\)

Add the numbers in the tenths place:

\(\displaystyle {1+8+1=9}\)

Because this sum is greater than 9, we write the 0 from the ones place and carry the 1 from the tens place over to the left. Your work should look something like this:

*Notice that the decimal moves directly down when we are adding decimal numbers.

\(\displaystyle \begin{array}{r}\overset{\ ~}{2} \overset{\ 1}{6.}\overset{\ 1}{1}6\\ + \overset{\ ~ }{3}\overset{\ ~ }{6.}\overset{ }{8} \overset{~\ }{8} \\ \hline \space{} \, \space{\,. }0\space{\, }4\end{array}\)

Add the numbers in the ones place:

\(\displaystyle {6+6+1=13}\)

Because this sum is greater than 9, we write the 2 from the ones place and carry the 1 from the tens place over to the left. Your work should look something like this:

\(\displaystyle \begin{array}{r}\overset{\ 1}{2} \overset{\ 1}{6.}\overset{\ 1}{1}6\\ + \overset{\ ~ }{3}\overset{\ ~ }{6.}\overset{ }{8} \overset{~\ }{8} \\ \hline \space{} \, 3\space{\,. }0\space{\, }4\end{array}\)

Your final answer should be: 63.04

\(\displaystyle \begin{array}{r}\overset{\ 1}{2} \overset{\ 1}{6.}\overset{\ 1}{1}6\\ + \overset{\ ~ }{3}\overset{\ ~ }{6.}\overset{ }{8} \overset{~\ }{8} \\ \hline 6\space{} \, 3\space{\,. }0\space{\, }4\end{array}\)

When we add with multi-digit numbers with decimals, we start with the numbers furthest to the right and work our way towards the left.

Add the numbers in the hundredths place:

\(\displaystyle {1+6=7}\)

Your work should look something like this:

\(\displaystyle \begin{array}{r}\overset{\ ~}{2} \overset{\ ~}{0.}\overset{\ ~}{1}1\\ + \overset{\ ~ }{2}\overset{\ ~ }{5.}\overset{ }{4} \overset{~\ }{6} \\ \hline \space{} \, \space{\, } \space{\, }7\end{array}\)

Add the numbers in the tenths place:

\(\displaystyle {1+4=5}\)

Your work should look something like this:

*Notice that the decimal moves directly down when we are adding decimal numbers.

\(\displaystyle \begin{array}{r}\overset{\ ~}{2} \overset{\ ~}{0.}\overset{\ ~}{1}1\\ + \overset{\ ~ }{2}\overset{\ ~ }{5.}\overset{ }{4} \overset{~\ }{6} \\ \hline \space{} \, \space{\,. }5\space{\, }7\end{array}\)

Add the numbers in the ones place:

\(\displaystyle {0+5=5}\)

Your work should look something like this:

\(\displaystyle \begin{array}{r}\overset{\ ~}{2} \overset{\ ~}{0.}\overset{\ ~}{1}1\\ + \overset{\ ~ }{2}\overset{\ ~ }{5.}\overset{ }{4} \overset{~\ }{6} \\ \hline \space{} \, 5\space{\,. }5\space{\, }7\end{array}\)

Your final answer should be: 45.57

\(\displaystyle \begin{array}{r}\overset{\ ~}{2} \overset{\ ~}{0.}\overset{\ ~}{1}1\\ + \overset{\ ~ }{2}\overset{\ ~ }{5.}\overset{ }{4} \overset{~\ }{6} \\ \hline 4\space{} \, 5\space{\,. }5\space{\, }7\end{array}\)

Finding a difference means to subtract.  

In the hundredths column, we can easily subtract \(\displaystyle 6-3=3\). 

In the tenths column we must borrow from the 7 (making it 6) and also making the 2 a 12.  Now we can subtract \(\displaystyle 12-8=4\). 

Finally in the ones column we can subtract \(\displaystyle 6-5=1\). 

Thus the final answer is 1.43.