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Common Core: 6th Grade Math : Adding Multi-Digit Decimals

Study concepts, example questions & explanations for Common Core: 6th Grade Math

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All Common Core: 6th Grade Math Resources

6 Diagnostic Tests 186 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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Example Question #61 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

27.74

28.89

61.9

11.96

Correct answer:

61.9

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:

{0+0=0}

Your work should look something like this:

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

Add the numbers in the tenths place:

{1+8=9}

Your work should look something like this:

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

$\begin{array}{r}\overset{\ ~}{4} \overset{\ ~}{6.}\overset{\ ~}{1}0\\ + \overset{\ ~ }{1}\overset{\ ~ }{5.}\overset{ }{8} \overset{~\ }{0} \\ \hline \space{} \, \space{\,. }9\space{\, }0\end{array}$

Add the numbers in the ones place:

{6+5+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:

$\begin{array}{r}\overset{\ 1}{4} \overset{\ ~}{6.}\overset{\ ~}{1}0\\ + \overset{\ ~ }{1}\overset{\ ~ }{5.}\overset{ }{8} \overset{~\ }{0} \\ \hline \space{} \, 1\space{\,. }9\space{\, }0\end{array}$

Your final answer should be: 61.90

$\begin{array}{r}\overset{\ 1}{4} \overset{\ ~}{6.}\overset{\ ~}{1}0\\ + \overset{\ ~ }{1}\overset{\ ~ }{5.}\overset{ }{8} \overset{~\ }{0} \\ \hline 6\space{} \, 1\space{\,. }9\space{\, }0\end{array}$

Report an Error

Example Question #62 : Adding Multi Digit Decimals

Solve:

$\begin{array}{r}\overset{\ ~}{4} \overset{\ ~}{2.}\overset{\ ~}{7}7\\ + \overset{\ ~ }{2}\overset{\ ~ }{2.}\overset{ }{7} \overset{~\ }{0} \\ \hline \end{array}$

Possible Answers:

65.47

36.44

59.48

44.47

Correct answer:

65.47

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:

{7+0=7}

Your work should look something like this:

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

Add the numbers in the tenths place:

{7+7=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:

Your work should look something like this:

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

Add the numbers in the ones place:

{2+2+1=5}

Your work should look something like this:

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

Your final answer should be: 65.47

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

Report an Error

Example Question #63 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

14.73

39.78

53.62

28.21

Correct answer:

39.78

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:

{7+1=8}

Your work should look something like this:

$\begin{array}{r}\overset{\ ~}{2} \overset{\ ~}{6.}\overset{\ ~}{6}7\\ + \overset{\ ~ }{1}\overset{\ ~ }{3.}\overset{ }{1} \overset{~\ }{1} \\ \hline \space{} \, \space{\, } \space{\, }8\end{array}$

Add the numbers in the tenths place:

{6+1=7}

Your work should look something like this:

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

$\begin{array}{r}\overset{\ ~}{2} \overset{\ ~}{6.}\overset{\ ~}{6}7\\ + \overset{\ ~ }{1}\overset{\ ~ }{3.}\overset{ }{1} \overset{~\ }{1} \\ \hline \space{} \, \space{\,. }7\space{\, }8\end{array}$

Add the numbers in the ones place:

{6+3=9}

Your work should look something like this:

$\begin{array}{r}\overset{\ ~}{2} \overset{\ ~}{6.}\overset{\ ~}{6}7\\ + \overset{\ ~ }{1}\overset{\ ~ }{3.}\overset{ }{1} \overset{~\ }{1} \\ \hline \space{} \, 9\space{\,. }7\space{\, }8\end{array}$

Your final answer should be: 39.78

$\begin{array}{r}\overset{\ ~}{2} \overset{\ ~}{6.}\overset{\ ~}{6}7\\ + \overset{\ ~ }{1}\overset{\ ~ }{3.}\overset{ }{1} \overset{~\ }{1} \\ \hline 3\space{} \, 9\space{\,. }7\space{\, }8\end{array}$

Report an Error

Example Question #64 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

43.63

10.4

78.98

59.34

Correct answer:

78.98

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:

{6+2=8}

Your work should look something like this:

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

Add the numbers in the tenths place:

{3+6=9}

Your work should look something like this:

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

$\begin{array}{r}\overset{\ ~}{4} \overset{\ ~}{1.}\overset{\ ~}{3}6\\ + \overset{\ ~ }{3}\overset{\ ~ }{7.}\overset{ }{6} \overset{~\ }{2} \\ \hline \space{} \, \space{\,. }9\space{\, }8\end{array}$

Add the numbers in the ones place:

{1+7=8}

Your work should look something like this:

$\begin{array}{r}\overset{\ ~}{4} \overset{\ ~}{1.}\overset{\ ~}{3}6\\ + \overset{\ ~ }{3}\overset{\ ~ }{7.}\overset{ }{6} \overset{~\ }{2} \\ \hline \space{} \, 8\space{\,. }9\space{\, }8\end{array}$

Your final answer should be: 78.98

$\begin{array}{r}\overset{\ ~}{4} \overset{\ ~}{1.}\overset{\ ~}{3}6\\ + \overset{\ ~ }{3}\overset{\ ~ }{7.}\overset{ }{6} \overset{~\ }{2} \\ \hline 7\space{} \, 8\space{\,. }9\space{\, }8\end{array}$

Report an Error

Example Question #65 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

79.52

19.9

52.26

27.24

Correct answer:

79.52

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:

{4+8=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:

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

Add the numbers in the tenths place:

{4+0+1=5}

Your work should look something like this:

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

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

Add the numbers in the ones place:

{5+4=9}

Your work should look something like this:

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

Your final answer should be: 79.52

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

Report an Error

Example Question #66 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

22.1

27.27

55.9

37.36

Correct answer:

37.36

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:

{5+1=6}

Your work should look something like this:

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

Add the numbers in the tenths place:

{3+0=3}

Your work should look something like this:

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

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

Add the numbers in the ones place:

{3+4=7}

Your work should look something like this:

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

Your final answer should be: 37.36

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

Report an Error

Example Question #67 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

63.95

46.91

49.47

12.68

Correct answer:

63.95

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:

{0+5=5}

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:

{4+5=9}

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:

{3+0=3}

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

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

Report an Error

Example Question #68 : Adding Multi Digit Decimals

Solve:

$\begin{array}{r}\overset{\ ~}{2} \overset{\ ~}{2.}\overset{\ ~}{3}5\\ + \overset{\ ~ }{4}\overset{\ ~ }{0.}\overset{ }{7} \overset{~\ }{2} \\ \hline \end{array}$

Possible Answers:

42.76

29.31

63.07

43.67

Correct answer:

63.07

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:

{5+2=7}

Your work should look something like this:

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

Add the numbers in the tenths place:

{3+7=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:

Your work should look something like this:

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

Add the numbers in the ones place:

{2+0+1=3}

Your work should look something like this:

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

Your final answer should be: 63.07

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

Report an Error

Example Question #69 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

11.97

27.89

56.45

42.81

Correct answer:

56.45

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:

{4+1=5}

Your work should look something like this:

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

Add the numbers in the tenths place:

{1+3=4}

Your work should look something like this:

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

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

Add the numbers in the ones place:

{3+3=6}

Your work should look something like this:

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

Your final answer should be: 56.45

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

Report an Error

Example Question #451 : The Number System

Solve:

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

Possible Answers:

29.54

49.91

53.8

34.3

Correct answer:

53.8

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:

{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:

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

Add the numbers in the tenths place:

{3+4+1=8}

Your work should look something like this:

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

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

Add the numbers in the ones place:

{3+0=3}

Your work should look something like this:

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

Your final answer should be: 53.80

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

Report an Error

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Common Core: 6th Grade Math : Adding Multi-Digit Decimals

Study concepts, example questions & explanations for Common Core: 6th Grade Math

All Common Core: 6th Grade Math Resources

Example Questions

Example Question #61 : Adding Multi Digit Decimals

Example Question #62 : Adding Multi Digit Decimals

Example Question #63 : Adding Multi Digit Decimals

Example Question #64 : Adding Multi Digit Decimals

Example Question #65 : Adding Multi Digit Decimals

Example Question #66 : Adding Multi Digit Decimals

Example Question #67 : Adding Multi Digit Decimals

Example Question #68 : Adding Multi Digit Decimals

Example Question #69 : Adding Multi Digit Decimals

Example Question #451 : The Number System

All Common Core: 6th Grade Math Resources

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