Adding Multi-Digit Decimals

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6th Grade Math › Adding Multi-Digit Decimals

Questions 1 - 10

Solve:

$\begin{array}{r}\overset{\ ~}{ 1 } \overset{\ ~}{ 1 .}\overset{\ ~}{ 7 } 0 \ + \overset{\ ~ }{ 1 }\overset{\ ~ }{ 1 .}\overset{ }{ 4 } \overset{~\ }{ 8 } \ \hline \end{array}$

Explanation

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:

Your work should look something like this:

$\begin{array}{r}\overset{\ ~}{ 1 } \overset{\ ~}{ 1 .}\overset{\ ~ }{ 7 } 0 \ + \overset{\ ~ }{ 1 }\overset{\ ~ }{ 1 .}\overset{ }{ 4 } \overset{~\ }{ 8 } \ \hline \space{} , \space{, } \space{, } 8 \end{array}$

Add the numbers in the tenths place:

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:

Your work should look something like this:

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

$\begin{array}{r}\overset{\ ~}{ 1 } \overset{\ 1 }{ 1 .}\overset{\ ~ }{ 7 } 0 \ + \overset{\ ~ }{ 1 }\overset{\ ~ }{ 1 .}\overset{ }{ 4 } \overset{~\ }{ 8 } \ \hline \space{} , \space{,. } 1 \space{, } 8 \end{array}$

Add the numbers in the ones place including the one carried over:

Your work should look something like this:

$\begin{array}{r}\overset{\ ~ }{ 1 } \overset{\ 1 }{ 1 .}\overset{\ ~ }{ 7 } 0 \ + \overset{\ ~ }{ 1 }\overset{\ ~ }{ 1 .}\overset{ }{ 4 } \overset{~\ }{ 8 } \ \hline \space{} , 3 \space{,. } 1 \space{, } 8 \end{array}$

Add the numbers in the tens place:

Your final answer should be:

$\begin{array}{r}\overset{\ ~ }{ 1 } \overset{\ 1 }{ 1 .}\overset{\ ~ }{ 7 } 0 \ + \overset{\ ~ }{ 1 }\overset{\ ~ }{ 1 .}\overset{ }{ 4 } \overset{~\ }{ 8 } \ \hline 2 \space{} , 3 \space{,. } 1 \space{, } 8 \end{array}$

Solve:

$\begin{array}{r}\overset{\ ~}{1} \overset{\ ~}{7.}\overset{\ ~}{5}6\ + \overset{\ ~ }{4}\overset{\ ~ }{4.}\overset{ }{6} \overset{~\ }{2} \ \hline \end{array}$

Explanation

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:

Your work should look something like this:

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

Add the numbers in the tenths place:

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:

Your work should look something like this:

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

Add the numbers in the ones place:

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:

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

Your final answer should be: 62.18

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

Solve:

$\begin{array}{r}\overset{\ ~}{2} \overset{\ ~}{4.}\overset{\ ~}{1}3\ + \overset{\ ~ }{4}\overset{\ ~ }{1.}\overset{ }{3} \overset{~\ }{3} \ \hline \end{array}$

Explanation

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:

Your work should look something like this:

$\begin{array}{r}\overset{\ ~}{2} \overset{\ ~}{4.}\overset{\ ~}{1}3\ + \overset{\ ~ }{4}\overset{\ ~ }{1.}\overset{ }{3} \overset{~\ }{3} \ \hline \space{} , \space{, } \space{, }6\end{array}$

Add the numbers in the tenths place:

Your work should look something like this:

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

$\begin{array}{r}\overset{\ ~}{2} \overset{\ ~}{4.}\overset{\ ~}{1}3\ + \overset{\ ~ }{4}\overset{\ ~ }{1.}\overset{ }{3} \overset{~\ }{3} \ \hline \space{} , \space{,. }4\space{, }6\end{array}$

Add the numbers in the ones place:

Your work should look something like this:

$\begin{array}{r}\overset{\ ~}{2} \overset{\ ~}{4.}\overset{\ ~}{1}3\ + \overset{\ ~ }{4}\overset{\ ~ }{1.}\overset{ }{3} \overset{~\ }{3} \ \hline \space{} , 5\space{,. }4\space{, }6\end{array}$

Your final answer should be: 65.46

$\begin{array}{r}\overset{\ ~}{2} \overset{\ ~}{4.}\overset{\ ~}{1}3\ + \overset{\ ~ }{4}\overset{\ ~ }{1.}\overset{ }{3} \overset{~\ }{3} \ \hline 6\space{} , 5\space{,. }4\space{, }6\end{array}$

Solve:

$\begin{array}{r}\overset{\ ~}{3} \overset{\ ~}{3.}\overset{\ ~}{4}0\ + \overset{\ ~ }{3}\overset{\ ~ }{0.}\overset{ }{5} \overset{~\ }{5} \ \hline \end{array}$

Explanation

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:

Your work should look something like this:

$\begin{array}{r}\overset{\ ~}{3} \overset{\ ~}{3.}\overset{\ ~}{4}0\ + \overset{\ ~ }{3}\overset{\ ~ }{0.}\overset{ }{5} \overset{~\ }{5} \ \hline \space{} , \space{, } \space{, }5\end{array}$

Add the numbers in the tenths place:

Your work should look something like this:

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

$\begin{array}{r}\overset{\ ~}{3} \overset{\ ~}{3.}\overset{\ ~}{4}0\ + \overset{\ ~ }{3}\overset{\ ~ }{0.}\overset{ }{5} \overset{~\ }{5} \ \hline \space{} , \space{,. }9\space{, }5\end{array}$

Add the numbers in the ones place:

Your work should look something like this:

$\begin{array}{r}\overset{\ ~}{3} \overset{\ ~}{3.}\overset{\ ~}{4}0\ + \overset{\ ~ }{3}\overset{\ ~ }{0.}\overset{ }{5} \overset{~\ }{5} \ \hline \space{} , 3\space{,. }9\space{, }5\end{array}$

Your final answer should be: 63.95

$\begin{array}{r}\overset{\ ~}{3} \overset{\ ~}{3.}\overset{\ ~}{4}0\ + \overset{\ ~ }{3}\overset{\ ~ }{0.}\overset{ }{5} \overset{~\ }{5} \ \hline 6\space{} , 3\space{,. }9\space{, }5\end{array}$

Solve:

$\begin{array}{r}\overset{\ ~}{1} \overset{\ ~}{3.}\overset{\ ~}{7}4\ + \overset{\ ~ }{2}\overset{\ ~ }{6.}\overset{ }{6} \overset{~\ }{5} \ \hline \end{array}$

Explanation

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:

Your work should look something like this:

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

Add the numbers in the tenths place:

Because this sum is greater than 9, we write the 3 from the ones place and carry the 1 from the tens place over to the left. Your work should look something like this:

Your work should look something like this:

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

Add the numbers in the ones place:

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:

$\begin{array}{r}\overset{\ 1}{1} \overset{\ 1}{3.}\overset{\ ~}{7}4\ + \overset{\ ~ }{2}\overset{\ ~ }{6.}\overset{ }{6} \overset{~\ }{5} \ \hline \space{} , 0\space{,. }3\space{, }9\end{array}$

Your final answer should be: 40.39

$\begin{array}{r}\overset{\ 1}{1} \overset{\ 1}{3.}\overset{\ ~}{7}4\ + \overset{\ ~ }{2}\overset{\ ~ }{6.}\overset{ }{6} \overset{~\ }{5} \ \hline 4\space{} , 0\space{,. }3\space{, }9\end{array}$

Solve:

$\begin{array}{r}\overset{\ ~}{3} \overset{\ ~}{0.}\overset{\ ~}{6}2\ + \overset{\ ~ }{3}\overset{\ ~ }{3.}\overset{ }{5} \overset{~\ }{2} \ \hline \end{array}$

Explanation

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:

Your work should look something like this:

$\begin{array}{r}\overset{\ ~}{3} \overset{\ ~}{0.}\overset{\ ~}{6}2\ + \overset{\ ~ }{3}\overset{\ ~ }{3.}\overset{ }{5} \overset{~\ }{2} \ \hline \space{} , \space{, } \space{, }4\end{array}$

Add the numbers in the tenths place:

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:

Your work should look something like this:

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

Add the numbers in the ones place:

Your work should look something like this:

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

Your final answer should be: 64.14

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

Solve:

$\begin{array}{r}\overset{\ ~}{2} \overset{\ ~}{5.}\overset{\ ~}{0}8\ + \overset{\ ~ }{4}\overset{\ ~ }{5.}\overset{ }{3} \overset{~\ }{1} \ \hline \end{array}$

Explanation

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:

Your work should look something like this:

$\begin{array}{r}\overset{\ ~}{2} \overset{\ ~}{5.}\overset{\ ~}{0}8\ + \overset{\ ~ }{4}\overset{\ ~ }{5.}\overset{ }{3} \overset{~\ }{1} \ \hline \space{} , \space{, } \space{, }9\end{array}$

Add the numbers in the tenths place:

Your work should look something like this:

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

$\begin{array}{r}\overset{\ ~}{2} \overset{\ ~}{5.}\overset{\ ~}{0}8\ + \overset{\ ~ }{4}\overset{\ ~ }{5.}\overset{ }{3} \overset{~\ }{1} \ \hline \space{} , \space{,. }3\space{, }9\end{array}$

Add the numbers in the ones place:

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:

$\begin{array}{r}\overset{\ 1}{2} \overset{\ ~}{5.}\overset{\ ~}{0}8\ + \overset{\ ~ }{4}\overset{\ ~ }{5.}\overset{ }{3} \overset{~\ }{1} \ \hline \space{} , 0\space{,. }3\space{, }9\end{array}$

Your final answer should be: 70.39

$\begin{array}{r}\overset{\ 1}{2} \overset{\ ~}{5.}\overset{\ ~}{0}8\ + \overset{\ ~ }{4}\overset{\ ~ }{5.}\overset{ }{3} \overset{~\ }{1} \ \hline 7\space{} , 0\space{,. }3\space{, }9\end{array}$

Solve:

$\begin{array}{r}\overset{\ ~}{3} \overset{\ ~}{5.}\overset{\ ~}{0}4\ + \overset{\ ~ }{4}\overset{\ ~ }{6.}\overset{ }{3} \overset{~\ }{4} \ \hline \end{array}$

Explanation

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:

Your work should look something like this:

$\begin{array}{r}\overset{\ ~}{3} \overset{\ ~}{5.}\overset{\ ~}{0}4\ + \overset{\ ~ }{4}\overset{\ ~ }{6.}\overset{ }{3} \overset{~\ }{4} \ \hline \space{} , \space{, } \space{, }8\end{array}$

Add the numbers in the tenths place:

Your work should look something like this:

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

$\begin{array}{r}\overset{\ ~}{3} \overset{\ ~}{5.}\overset{\ ~}{0}4\ + \overset{\ ~ }{4}\overset{\ ~ }{6.}\overset{ }{3} \overset{~\ }{4} \ \hline \space{} , \space{,. }3\space{, }8\end{array}$

Add the numbers in the ones place:

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:

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

Your final answer should be: 81.38

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

Solve:

$\begin{array}{r}\overset{\ ~}{1} \overset{\ ~}{0.}\overset{\ ~}{7}4\ + \overset{\ ~ }{4}\overset{\ ~ }{0.}\overset{ }{7} \overset{~\ }{6} \ \hline \end{array}$

Explanation

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:

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:

$\begin{array}{r}\overset{\ ~}{1} \overset{\ ~}{0.}\overset{\ 1}{7}4\ + \overset{\ ~ }{4}\overset{\ ~ }{0.}\overset{ }{7} \overset{~\ }{6} \ \hline \space{} , \space{, } \space{, }0\end{array}$

Add the numbers in the tenths place:

Because this sum is greater than 9, we write the 5 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.

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

Add the numbers in the ones place:

Your work should look something like this:

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

Your final answer should be: 51.50

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

Solve:

$\begin{array}{r}\overset{\ ~}{2} \overset{\ ~}{7.}\overset{\ ~}{1}5\ + \overset{\ ~ }{1}\overset{\ ~ }{4.}\overset{ }{7} \overset{~\ }{7} \ \hline \end{array}$

Explanation

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:

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:

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

Add the numbers in the tenths place:

Your work should look something like this:

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

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

Add the numbers in the ones place:

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:

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

Your final answer should be: 41.92

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

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