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Common Core: 6th Grade Math : Fluently Add, Subtract, Multiply, and Divide Multi-Digit Decimals: CCSS.Math.Content.6.NS.B.3

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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 #401 : The Number System

Solve:

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

Possible Answers:

18.93

10.42

58.81

40.39

Correct answer:

40.39

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+5=9}

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:

{7+6=13}

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:

{3+6+1=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:

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

Your final answer should be: 40.39

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

Report an Error

Example Question #402 : The Number System

Solve:

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

Possible Answers:

55.75

40.61

15.46

40.08

Correct answer:

55.75

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+8=15}

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:

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

Add the numbers in the tenths place:

{2+4+1=7}

Your work should look something like this:

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

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

Add the numbers in the ones place:

{5+0=5}

Your work should look something like this:

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

Your final answer should be: 55.75

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

Report an Error

Example Question #21 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

70.39

49.11

56.69

26.05

Correct answer:

70.39

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:

{8+1=9}

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:

{0+3=3}

Your work should look something like this:

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

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

Add the numbers in the ones place:

{5+5+1=11}

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

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

Report an Error

Example Question #22 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

39.25

15.26

28.48

68.4

Correct answer:

68.4

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:

{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:

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

Add the numbers in the tenths place:

{0+3+1=4}

Your work should look something like this:

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

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

Add the numbers in the ones place:

{1+7=8}

Your work should look something like this:

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

Your final answer should be: 68.40

$\begin{array}{r}\overset{\ ~}{4} \overset{\ ~}{1.}\overset{\ 1}{0}3\\ + \overset{\ ~ }{2}\overset{\ ~ }{7.}\overset{ }{3} \overset{~\ }{7} \\ \hline 6\space{} \, 8\space{\,. }4\space{\, }0\end{array}$

Report an Error

Example Question #23 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

50.64

25.46

59.27

39.41

Correct answer:

59.27

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:

{3+4=7}

Your work should look something like this:

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

Add the numbers in the tenths place:

{6+6=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:

Your work should look something like this:

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

Add the numbers in the ones place:

{3+5+1=9}

Your work should look something like this:

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

Your final answer should be: 59.27

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

Report an Error

Example Question #24 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

16.77

37.74

13.77

51.74

Correct answer:

51.74

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+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:

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

Add the numbers in the tenths place:

{4+2+1=7}

Your work should look something like this:

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

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

Add the numbers in the ones place:

{3+8+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:

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

Your final answer should be: 51.74

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

Report an Error

Example Question #25 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

56.84

34.07

40.06

13.33

Correct answer:

40.06

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:

{1+5=6}

Your work should look something like this:

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

Add the numbers in the tenths place:

{6+4=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:

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

Add the numbers in the ones place:

{6+3+1=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:

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

Your final answer should be: 40.06

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

Report an Error

Example Question #26 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

46.42

25.44

26.33

52.59

Correct answer:

46.42

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:

{2+0=2}

Your work should look something like this:

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

Add the numbers in the tenths place:

{0+4=4}

Your work should look something like this:

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

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

Add the numbers in the ones place:

{6+0=6}

Your work should look something like this:

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

Your final answer should be: 46.42

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

Report an Error

Example Question #21 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

35.32

61.17

48.82

15.67

Correct answer:

61.17

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:

{1+6=7}

Your work should look something like this:

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

Add the numbers in the tenths place:

{4+7=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:

Your work should look something like this:

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

Add the numbers in the ones place:

{2+8+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:

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

Your final answer should be: 61.17

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

Report an Error

Example Question #28 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

19.38

19.14

45.34

80.66

Correct answer:

80.66

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:

{1+5=6}

Your work should look something like this:

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

Add the numbers in the tenths place:

{0+6=6}

Your work should look something like this:

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

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

Add the numbers in the ones place:

{6+4+1=11}

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:

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

Your final answer should be: 80.66

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

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Common Core: 6th Grade Math : Fluently Add, Subtract, Multiply, and Divide Multi-Digit Decimals: CCSS.Math.Content.6.NS.B.3

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

All Common Core: 6th Grade Math Resources

Example Questions

Example Question #401 : The Number System

Example Question #402 : The Number System

Example Question #21 : Adding Multi Digit Decimals

Example Question #22 : Adding Multi Digit Decimals

Example Question #23 : Adding Multi Digit Decimals

Example Question #24 : Adding Multi Digit Decimals

Example Question #25 : Adding Multi Digit Decimals

Example Question #26 : Adding Multi Digit Decimals

Example Question #21 : Adding Multi Digit Decimals

Example Question #28 : Adding Multi Digit Decimals

All Common Core: 6th Grade Math Resources

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