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Common Core: 6th Grade Math : Grade 6

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

Example Question #3 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

33.68

40.83

76.28

42.81

Correct answer:

76.28

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 + 3 = 8

Your work should look something like this:

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

Add the numbers in the tenths 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:

Your work should look something like this:

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

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

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

7 + 8 + 1 = 16

Because this sum is greater than 9, we write the 6 from the ones place and carry the 1 from the tens place over to the left. Your work should look something like this:

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

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

3 + 3 + 1 = 7

Your final answer should be: 76.28

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

Report an Error

Example Question #4 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

49.27

49.46

59.37

46.14

Correct answer:

49.46

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 + 4 = 6

Your work should look something like this:

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

Add the numbers in the tenths 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:

Your work should look something like this:

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

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

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

2 + 6 + 1 = 9

Your work should look something like this:

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

Add the numbers in the tens place:

1 + 3 = 4

Your final answer should be: 49.46

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

Report an Error

Example Question #1541 : Grade 6

Solve:

$\begin{array}{r}\overset{\ ~}{ 2 } \overset{\ ~}{ 5 .}\overset{\ ~}{ 1 } 6 \\ + \overset{\ ~ }{ 4 }\overset{\ ~ }{ 7 .}\overset{ }{ 8 } \overset{~\ }{ 0 } \\ \hline \end{array}$

Possible Answers:

18.59

21.59

72.96

56.03

Correct answer:

72.96

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 + 0 = 6

Your work should look something like this:

$\begin{array}{r}\overset{\ ~}{ 2 } \overset{\ ~}{ 5 .}\overset{\ ~ }{ 1 } 6 \\ + \overset{\ ~ }{ 4 }\overset{\ ~ }{ 7 .}\overset{ }{ 8 } \overset{~\ }{ 0 } \\ \hline \space{} \, \space{\, } \space{\, } 6 \end{array}$

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.

$\begin{array}{r}\overset{\ ~}{ 2 } \overset{\ ~ }{ 5 .}\overset{\ ~ }{ 1 } 6 \\ + \overset{\ ~ }{ 4 }\overset{\ ~ }{ 7 .}\overset{ }{ 8 } \overset{~\ }{ 0 } \\ \hline \space{} \, \space{\,. } 9 \space{\, } 6 \end{array}$

Add the numbers in the ones 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:

$\begin{array}{r}\overset{\ 1 }{ 2 } \overset{\ ~ }{ 5 .}\overset{\ ~ }{ 1 } 6 \\ + \overset{\ ~ }{ 4 }\overset{\ ~ }{ 7 .}\overset{ }{ 8 } \overset{~\ }{ 0 } \\ \hline \space{} \, 2 \space{\,. } 9 \space{\, } 6 \end{array}$

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

2 + 4 + 1 = 7

Your final answer should be: 72.96

$\begin{array}{r}\overset{\ 1 }{ 2 } \overset{\ ~ }{ 5 .}\overset{\ ~ }{ 1 } 6 \\ + \overset{\ ~ }{ 4 }\overset{\ ~ }{ 7 .}\overset{ }{ 8 } \overset{~\ }{ 0 } \\ \hline 7 \space{} \, 2 \space{\,. } 9 \space{\, } 6 \end{array}$

Report an Error

Example Question #12 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

21.05

58.60

51.85

47.27

Correct answer:

51.85

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 + 0 = 5

Your work should look something like this:

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

Add the numbers in the tenths place:

3 + 5 = 8

Your work should look something like this:

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

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

Add the numbers in the ones place:

6 + 5 = 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:

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

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

2 + 2 + 1 = 5

Your final answer should be: 51.85

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

Report an Error

Example Question #13 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

29.69

27.45

33.97

29.20

Correct answer:

29.20

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:

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

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

7 + 4 + 1 = 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:

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

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

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

6 + 2 + 1 = 9

Your work should look something like this:

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

Add the numbers in the tens place:

1 + 1 = 2

Your final answer should be: 29.20

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

Report an Error

Example Question #12 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

52.29

69.77

49.38

54.48

Correct answer:

69.77

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 + 1 = 7

Your work should look something like this:

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

Add the numbers in the tenths place:

4 + 3 = 7

Your work should look something like this:

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

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

Add the numbers in the ones place:

3 + 6 = 9

Your work should look something like this:

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

Add the numbers in the tens place:

4 + 2 = 6

Your final answer should be: 69.77

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

Report an Error

Example Question #71 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

Solve:

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

Possible Answers:

20.84

44.85

23.64

82.47

Correct answer:

82.47

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:

6 + 1 = 7

Your work should look something like this:

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

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.

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

Add the numbers in the ones place:

0 + 2 = 2

Your work should look something like this:

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

Add the numbers in the tens place:

4 + 4 = 8

Your final answer should be: 82.47

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

Report an Error

Example Question #72 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

Solve:

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

Possible Answers:

33.57

51.66

43.16

42.08

Correct answer:

51.66

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:

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

Add the numbers in the tenths place:

6 + 0 = 6

Your work should look something like this:

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

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

Add the numbers in the ones place:

8 + 3 = 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:

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

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

1 + 3 + 1 = 5

Your final answer should be: 51.66

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

Report an Error

Example Question #73 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

Solve:

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

Possible Answers:

11.49

48.52

45.66

23.18

Correct answer:

23.18

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 + 8 = 8

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:

7 + 4 = 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:

*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:

1 + 1 + 1 = 3

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:

1 + 1 = 2

Your final answer should be: 23.18

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

Report an Error

Example Question #404 : The Number System

Solve:

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

Possible Answers:

62.18

59.3

34.21

39.69

Correct answer:

62.18

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:

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

Add the numbers in the tenths place:

{5+6=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:

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

Add the numbers in the ones place:

{7+4+1=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:

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

Your final answer should be: 62.18

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

Report an Error

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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

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Common Core: 6th Grade Math : Grade 6

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

All Common Core: 6th Grade Math Resources

Example Questions

Example Question #3 : Adding Multi Digit Decimals

Example Question #4 : Adding Multi Digit Decimals

Example Question #1541 : Grade 6

Example Question #12 : Adding Multi Digit Decimals

Example Question #13 : Adding Multi Digit Decimals

Example Question #12 : Adding Multi Digit Decimals

Example Question #71 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

Example Question #72 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

Example Question #73 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

Example Question #404 : The Number System

All Common Core: 6th Grade Math Resources

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