Call Now to Set Up Tutoring:

(888) 888-0446

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

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

Create An Account

All Common Core: 6th Grade Math Resources

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

Example Questions

Example Question #451 : The Number System

Solve:

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

Possible Answers:

11.35

38.79

45.13

68.66

Correct answer:

68.66

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:

{4+2=6}

Your work should look something like this:

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

Add the numbers in the tenths place:

{5+1=6}

Your work should look something like this:

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

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

Add the numbers in the ones place:

{8+0=8}

Your work should look something like this:

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

Your final answer should be: 68.66

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

Report an Error

Example Question #72 : Adding Multi Digit Decimals

Solve:

$\begin{array}{r}\overset{\ ~}{3} \overset{\ ~}{5.}\overset{\ ~}{5}5\\ + \overset{\ ~ }{2}\overset{\ ~ }{5.}\overset{ }{8} \overset{~\ }{7} \\ \hline \end{array}$

Possible Answers:

61.42

29.17

40.88

48.21

Correct answer:

61.42

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:

{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:

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

Add the numbers in the tenths place:

{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.

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

Add the numbers in the ones place:

{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:

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

Your final answer should be: 61.42

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

Report an Error

Example Question #72 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

59.8

42.68

58.94

46.29

Correct answer:

46.29

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+2=9}

Your work should look something like this:

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

Add the numbers in the tenths place:

{1+1=2}

Your work should look something like this:

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

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

Add the numbers in the ones place:

{5+1=6}

Your work should look something like this:

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

Your final answer should be: 46.29

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

Report an Error

Example Question #73 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

25.21

41.92

40.56

28.33

Correct answer:

41.92

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+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:

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

Add the numbers in the tenths place:

{1+7+1=9}

Your work should look something like this:

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

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

Add the numbers in the ones place:

{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:

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

Your final answer should be: 41.92

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

Report an Error

Example Question #75 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

57.55

30.05

31.1

11.86

Correct answer:

31.1

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:

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

Add the numbers in the tenths place:

{0+1=1}

Your work should look something like this:

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

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

Add the numbers in the ones place:

{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:

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

Your final answer should be: 31.10

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

Report an Error

Example Question #76 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

63.04

15.57

47.79

55.81

Correct answer:

63.04

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:

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

Add the numbers in the tenths place:

{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.

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

Add the numbers in the ones place:

{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:

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

Your final answer should be: 63.04

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

Report an Error

Example Question #77 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

24.71

45.57

10.22

56.56

Correct answer:

45.57

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:

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

Add the numbers in the tenths place:

{1+4=5}

Your work should look something like this:

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

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

Add the numbers in the ones place:

{0+5=5}

Your work should look something like this:

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

Your final answer should be: 45.57

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

Report an Error

View Tutors

Ingy
Certified Tutor

University of Minnesota-Twin Cities, Bachelors, Mathematics with Actuarial Science Specialization.

View Tutors

Sarah
Certified Tutor

New York University, Bachelor of Fine Arts, Drama.

View Tutors

Justin
Certified Tutor

University of Toledo, Bachelors, Environmental Science. University of Michigan, Masters, Natural Resource Management.

All Common Core: 6th Grade Math Resources

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

Popular Subjects

SSAT Tutors in Chicago, Chemistry Tutors in Los Angeles, Reading Tutors in Chicago, Algebra Tutors in Phoenix, SSAT Tutors in Boston, ISEE Tutors in Miami, LSAT Tutors in Dallas Fort Worth, Reading Tutors in San Diego, Physics Tutors in Washington DC, Algebra Tutors in Houston

Popular Courses & Classes

GMAT Courses & Classes in Phoenix, SAT Courses & Classes in Atlanta, SAT Courses & Classes in Seattle, SAT Courses & Classes in Philadelphia, ISEE Courses & Classes in San Francisco-Bay Area, LSAT Courses & Classes in Houston, GMAT Courses & Classes in Houston, GMAT Courses & Classes in Miami, SAT Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Denver

Popular Test Prep

GMAT Test Prep in Los Angeles, SSAT Test Prep in Chicago, GMAT Test Prep in Seattle, LSAT Test Prep in Dallas Fort Worth, GMAT Test Prep in Miami, SAT Test Prep in Denver, GRE Test Prep in San Diego, GMAT Test Prep in Phoenix, SSAT Test Prep in Los Angeles, LSAT Test Prep in Phoenix

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

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 #451 : The Number System

Example Question #72 : Adding Multi Digit Decimals

Example Question #72 : Adding Multi Digit Decimals

Example Question #73 : Adding Multi Digit Decimals

Example Question #75 : Adding Multi Digit Decimals

Example Question #76 : Adding Multi Digit Decimals

Example Question #77 : Adding Multi Digit Decimals

All Common Core: 6th Grade Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: