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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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Example Questions

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Example Question #1 : Adding Multi Digit Decimals

Find the sum of 2.4, 55, and 6.21.

Possible Answers:

636.1

7.00

700

63.61

63.51

Correct answer:

63.61

Explanation:

To find the sum, you need to add. Line up all numbers vertically. Since one number has a decimal to the tenths place, one has a decimal to the hundredths place, and one has no decimal, be extra careful to line up the digits correctly! To help you, add a zero to the end of 2.4, and add two zeroes to the end of 55 so that all the digits line up correctly.

$\begin{matrix} &\ 2.40 \\ & 55.00\\ + & \ 6.21 \end{matrix}$

Now, add down each column, starting on the right side and moving to the left.

2.40 + 55.00+ 6.21 = 63.61

The sum is 63.61.

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Example Question #381 : The Number System

Samantha went to the toy store and bought three things:

2 bouncy balls: $0.49 each

1 coloring book: $4.75 each

How much money did Samantha spend at the toy store?

Possible Answers:

$\$5.24$

$\$5.73$

$\$5.74$

$\$3.77$

Correct answer:

$\$5.73$

Explanation:

To find the answer, you must add up all three items. Be careful to add $0.49 TWO times because Samantha bought 2 bouncy balls:

0.49+0.49+4.75=5.73

Samantha spent $5.73 at the toy store.

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Example Question #382 : The Number System

33.4 + 22.7 =

Possible Answers:

10.7

16.3

34.8

56.1

121.2

Correct answer:

56.1

Explanation:

Add the "whole" parts of the numbers: 33 + 22 = 55

Add the "decimal" parts of the numbers: 0.4 + 0.7 = 1.1

Add both parts together: 55 + 1.1 = 56.1

33.4 + 22.7 = 56.1

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Example Question #1 : Adding Multi Digit Decimals

If Susie bought a pair of shoes for $\$ 75.98$ , a shirt for $\$23.48$ , and a pair of pants for $\$ 48.34$ . How much did she spend in total?

Possible Answers:

$\$ 147.40$

$\$$147.60$

$\$ 146.80$

$\$$148.80$

$\$ 147.80$

Correct answer:

$\$ 147.80$

Explanation:

You add all three values and you get $\$147.80$ .

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Example Question #61 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

Menu 1

Above is the menu at the concession stand at a school carnival. Ken wants to purchase a hamburger, a medium order of fries, and medium soda for himself, and a hot dog, a small order of fries, and a small soda for his friend Donna. He hands the clerk a $10 bill and a $5 bill. He has some $1 bills in his pocket; how many of them will he need to hand to the clerk along with the other two bills?

(No tax is charged, since this is a school event)

Possible Answers:

One

Two

Three

None

Correct answer:

Three

Explanation:

The items Ken purchases are as follows:

Hamburger: $4.89

Medium fries: $2.79

Medium soda: $1.69

Hot dog: $4.39

Small fries: $2.29

Small soda: $1.09

The sum of the prices of these items:

$\$ 4.89$

2.79

1.69

4.39

2.29

$\underline{1.09}$

$\$ 17.14$

Subtract from $20:

$\$20.00 - \$ 17.14 = \$ 2.86$

Rounding this up - Ken needs to give the clerk three more $1 bills.

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Example Question #6 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

10.04

92.67

53.31

12.62

Correct answer:

92.67

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 + 3 = 7

Your work should look something like this:

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

Add the numbers in the tenths place:

3 + 3 = 6

Your work should look something like this:

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

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

Add the numbers in the ones 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:

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

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

4 + 4 + 1 = 9

Your final answer should be: 92.67

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

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Example Question #7 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

77.68

26.34

13.84

30.72

Correct answer:

77.68

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:

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

Add the numbers in the tenths place:

8 + 8 = 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:

Your work should look something like this:

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

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

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

3 + 3 + 1 = 7

Your work should look something like this:

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

Add the numbers in the tens place:

3 + 4 = 7

Your final answer should be: 77.68

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

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Example Question #8 : Adding Multi Digit Decimals

Solve:

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

Possible Answers:

22.81

49.52

11.33

46.52

Correct answer:

49.52

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:

7 + 5 = 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:

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

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

7 + 7 + 1 = 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:

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

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

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

3 + 5 + 1 = 9

Your work should look something like this:

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

Add the numbers in the tens place:

3 + 1 = 4

Your final answer should be: 49.52

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

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Example Question #9 : 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

76.28

40.83

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

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

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Example Question #10 : 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:

49.46

46.14

59.37

49.27

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

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

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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 #1 : Adding Multi Digit Decimals

Example Question #381 : The Number System

Example Question #382 : The Number System

Example Question #1 : Adding Multi Digit Decimals

Example Question #61 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3

Example Question #6 : Adding Multi Digit Decimals

Example Question #7 : Adding Multi Digit Decimals

Example Question #8 : Adding Multi Digit Decimals

Example Question #9 : Adding Multi Digit Decimals

Example Question #10 : Adding Multi Digit Decimals

All Common Core: 6th Grade Math Resources

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