problem solving adding decimals

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Decimals >

Decimal Word Problem Worksheets

Extensive decimal word problems are presented in these sets of worksheets, which require the learner to perform addition, subtraction, multiplication, and division operations. This batch of printable decimal word problem worksheets is curated for students of grade 3 through grade 7. Free worksheets are included.

Adding Decimals Word Problems

Decimal word problems presented here help the children learn decimal addition based on money, measurement and other real-life units.

Download the set

Subtracting Decimals Word Problems

These decimal word problem worksheets reinforce the real-life subtraction skills such as tender the exact change, compare the height, the difference between the quantities and more.

Decimals: Addition and Subtraction

It's review time for grade 4 and grade 5 students. Take these printable worksheets that help you reinforce the knowledge in adding and subtracting decimals. There are five word problems in each pdf worksheet.

Multiplying Decimals Whole Numbers

Reduce the chaos and improve clarity in your decimal multiplication skill using this collection of no-prep, printable worksheets. A must-have resource for young learners looking to ace their class!

Decimal Division Whole Numbers

Revive your decimal division skills with a host of interesting lifelike word problems involving whole numbers. Keep up with consistent practice and you’ll fly high in the topic in no time!

Multiplying Decimals Word Problems

Each decimal word problem involves multiplication of a whole number with a decimal number. 5th grade students are expected to find the product and check their answer using the answer key provided in the second page.

Dividing Decimals Word Problems

These division word problems require children to divide the decimals with the whole numbers. Ask the 6th graders to perform the division to find the quotient by applying long division method. Avoid calculator.

Decimals: Multiplication and Division

These decimal worksheets emphasize decimal multiplication and division. The perfect blend of word problems makes the grade 6 and grade 7 children stronger in performing the multiplication and division operation.

Related Worksheets

» Fraction Word Problems

» Ratio Word Problems

» Division Word Problems

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Worksheet on Word Problems on Addition and Subtraction of Decimals

Practice the questions given in the worksheet on word problems on addition and subtraction of decimals. Read the questions carefully to add or subtract the decimals as required.

1. Tania bought a book for $152.75, a pen for $45.25 and a chocolate for $28.75. What amount did she spend?

2. Nancy bought biscuits for $51.25. She gave a $100 note to the shopkeeper. How much dis she get back from the shopkeeper?

3. Mary had $305.80 in her bank account. She deposited $250.25 more and then withdrew $317.50 from her account. What is the balance now in her account?

4. Mike wants to buy a Physics book costing $600. He has $475.25 only in his purse. How much more money does he need to purchase the book?

5. Ron purchased a bag for $134.60, a book for $328.23 and a tie for $80.55. How much is left with him if he had $600 in all?

6. The difference of two decimals are 68.09. The smaller one is 353.48. Find the other one.

7. The sum of three decimals are 938.629. Two of them are 456.54 and 392.69. Find the third one.

8. Rachel had $739.68. She gave $235.09 to Jessica, $345.45 to Rebecca and the remaining money to Sara. How much did she give to Sara?

9. Jaclyn weighs 27.14 kg, Mary weighs 31.37 kg and Jenny weighs 28.38 kg. What is their total weight?

10. Kate travelled 320.25 km and Maya travelled 236.38 km. Who travelled more and by what distance?

11. Jack has lost $145.50 in a market. He is now left with $95.75. How much did he have?

12. Noor had $350.50. She bought jeans for $264.50 and a shirt for $65.75. How much did she have after pay?

13. Sam bought a pair of shirts for $205.75, a pant for $225.25 and a coat for $1225.20. What was the total cost of all the three items?

14. The sum of two decimals are 138.28. One of them is $68.42. Find the other one.

15. Jenifer had $178.50 with her. She has spent $138.85. How much money does she have now?

16. Matthew travelled 25 km 28 m by car, 8 km 814 m by bus and the rest 3 km 25 m by bike. How much distance did she travel in all?

17. Andrew had a one hundred dollar note. He bought his lunch box for $ 85.25. How much amount did he get back?

18. Jessica bought 15 kg foodgrains. Out of this, 6 kg 200 g is rice, 5 kg 25 kg is wheat and rest is pulses. What is the weight of pulses?

Answers for the worksheet on word problems on addition and subtraction of decimals are given below.

1. $ 226.75

3. $ 238.55

4. $ 124.75

8. $ 159.14

9. 86.89 kg

10. Kate 83.87 km

11. $ 241.25

12. $ 20.50

13. $ 1656.50

16. 37 kg 344 m

17. $ 14.75

18. 3 kg 55 g pulses

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$Decimal numbers can be expressed in expanded form using the place-value chart. In expanded form of decimal fractions we will learn how to read and write the decimal numbers. Note: When a decimal is missing either in the integral part or decimal part, substitute with 0.$

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$While comparing natural numbers we first compare total number of digits in both the numbers and if they are equal then we compare the digit at the extreme left. If they also equal then we compare the next digit and so on. We follow the same pattern while comparing the$

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$Addition of decimal numbers are similar to addition of whole numbers. We convert them to like decimals and place the numbers vertically one below the other in such a way that the decimal point lies exactly on the vertical line. Add as usual as we learnt in the case of whole$

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$The rules of subtracting decimal numbers are: (i) Write the digits of the given numbers one below the other such that the decimal points are in the same vertical line. (ii) Subtract as we subtract whole numbers. Let us consider some of the examples on subtraction$

Subtraction of Decimal Fractions |Rules of Subtracting Decimal Numbers

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$Word problems on decimals are solved here step by step. The product of two numbers is 42.63. If one number is 2.1, find the other. Solution: Product of two numbers = 42.63 One number = 2.1$

Word Problems on Decimals | Decimal Word Problems | Decimal Home Work

Word problems on decimals are solved here step by step. The product of two numbers is 42.63. If one number is 2.1, find the other. Solution: Product of two numbers = 42.63 One number = 2.1

$Definition of decimal numbers: We have learnt that the decimals are an extension of our number system. We also know that decimals can be considered as fractions whose denominators are 10, 100, 1000$

Definition of Decimal Numbers | Decimal Part | Decimal Point |Examples

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Decimal Place Value Chart |Tenths Place |Hundredths Place |Thousandths

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$Concept of like and unlike decimals: Decimals having the same number of decimal places are called like decimals i.e. decimals having the same number of digits on the right of the decimal$

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Concept of like and unlike decimals: Decimals having the same number of decimal places are called like decimals i.e. decimals having the same number of digits on the right of the decimal

$In conversion of unlike decimals to like decimals follow the steps of the method. Step I: Find the decimal number having the maximum number of decimal places, say (n). Step II: Now, convert each$

Conversion of Unlike Decimals to Like Decimals |Examples of Conversion

In conversion of unlike decimals to like decimals follow the steps of the method. Step I: Find the decimal number having the maximum number of decimal places, say (n). Step II: Now, convert each

$In converting decimals to fractions, we know that a decimal can always be converted into a fraction by using the following steps: Step I: Obtain the decimal. Step II: Remove the decimal points from the given decimal and take as numerator.$

Converting Decimals to Fractions | Solved Examples | Free Worksheet

In converting decimals to fractions, we know that a decimal can always be converted into a fraction by using the following steps: Step I: Obtain the decimal. Step II: Remove the decimal points from the given decimal and take as numerator.

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Worksheet on Decimal Numbers | Decimals Number Concepts | Answers

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$In ordering decimals we will learn how to compare two or more decimals. (i) Convert each of them as like decimals. (ii) Compare these decimals just as we compare two whole numbers ignoring$

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Worksheet on Use of Decimal | Free Printable Decimals Worksheets

Practice the questions given in the worksheet on use of decimals in calculating money, in measuring the length, in measuring the distance, in measuring the mass and in measuring the capacity.

4th Grade Math Activities

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Adding and Subtracting Decimals

Adding decimals is easy when you keep your work neat

To add decimals, follow these steps:

Write down the numbers, one under the other, with the decimal points lined up
Put in zeros so the numbers have the same length ( see below for why that is OK)
Then add , using column addition , remembering to put the decimal point in the answer

Example: Add 1.452 to 1.3

Line up the decimal points:		1.452
	+	1.3

"Pad" with zeros:		1.452
	+	1.300

Add:		1.452
	+	1.300
		2.752

Example: Add 3.25, 0.075 and 5

Line up the decimal points:		3.25
		0.075
	+	5.

"Pad" with zeros:		3.250
		0.075
	+	5.000

Add:		3.250
		0.075
	+	5.000
		8.325

That's all there is to it: line up the decimal points, pad with zeros, then add normally.

Subtracting

To subtract, follow the same method: line up the decimal points, then subtract .

Example: What is 7.368 − 1.15 ?

Line up the decimal points:		7.368
	−	1.15

"Pad" with zeros:		7.368
	−	1.150

Subtract:		7.368
	−	1.150
		6.218

To check we can add the answer to the number subtracted:

Example: Check that 7.368 minus 1.15 equals 6.218

Let us try adding 6.218 to 1.15

Line up the decimal points:		6.218
	+	1.15

"Pad" with zeros:		6.218
	+	1.150

Add:		6.218
	+	1.150
		7.368

It matches the number we started with, so it checks out.

Putting In Zeros

Why can we put in extra zeros?

A zero is really saying "there is no value at this decimal place".

In a number like 10, the zero is saying "no ones"
In a number like 2.50 the zero is saying "no hundredths"

So it is safe to take a number like 2.5 and make it 2.50 or 2.500 etc

But DON'T take 2.5 and make it 20.5, that is plain wrong.

Decimal Word Problems (Mixed Operations) Worksheet and Solutions

Decimal Word Problems Worksheets: 1-Step Word Problems, Add, Subtract 2-Step Word Problems, Add, Subtract Decimal Word Problems (Mixed Op) Decimal Word Problems (Mixed Op)

Objective: I can solve word problems involving addition, subtraction, multiplication and division of decimals.

Printable “Decimal Word Problems” Worksheets

Decimal Word Problems Worksheet #1 Decimal Word Problems Worksheet #2 Decimal Word Problems Worksheet #3 Decimal Word Problems Worksheet #4

Online “Decimal Word Problems” Worksheets

Solve the following word problems. Julia cut a string 8.46 m long into 6 equal pieces. What is the length of each piece of string? m The mass of a jar of sweets is 1.4 kg. What is the total mass of 7 such jars of sweets? kg The watermelon bought by Peter is 3 times as heavy as the papaya bought by Paul. If the watermelon bought by Peter has a mass of 4.2 kg, what is the mass of the papaya? kg There is 0.625 kg of powdered milk in each tin. If a carton contains 12 tins, find the total mass of powdered milk in the carton. kg Marcus bought 8.6 kg of sugar. He poured the sugar equally into 5 bottles. There was 0.35 kg of sugar left over. What was the mass of sugar in 1 bottle? kg

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Adding/Subtracting Decimals Practice Questions

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Decimals Worksheets

Thanks for visiting the Decimals Worksheets page at Math-Drills.Com where we make a POINT of helping students learn. On this page, you will find Decimals worksheets on a variety of topics including comparing and sorting decimals, adding, subtracting, multiplying and dividing decimals, and converting decimals to other number formats. To start, you will find the general use printables to be helpful in teaching the concepts of decimals and place value. More information on them is included just under the sub-title.

Further down the page, rounding, comparing and ordering decimals worksheets allow students to gain more comfort with decimals before they move on to performing operations with decimals. There are many operations with decimals worksheets throughout the page. It would be a really good idea for students to have a strong knowledge of addition, subtraction, multiplication and division before attempting these questions.

Most Popular Decimals Worksheets this Week

$Rounding Various Decimals to Various Decimal Places$

Grids and Charts Useful for Learning Decimals

$problem solving adding decimals$

General use decimal printables are used in a variety of contexts and assist students in completing math questions related to decimals.

The thousandths grid is a useful tool in representing decimals. Each small rectangle represents a thousandth. Each square represents a hundredth. Each row or column represents a tenth. The entire grid represents one whole. The hundredths grid can be used to model percents or decimals. The decimal place value chart is a tool used with students who are first learning place value related to decimals or for those students who have difficulty with place value when working with decimals.

Thousandths and Hundredths Grids Thousandths Grid Hundredths Grids ( 4 on a page) Hundredths Grids ( 9 on a page) Hundredths Grids ( 20 on a page)
Decimal Place Value Charts Decimal Place Value Chart ( Ones to Hundredths ) Decimal Place Value Chart ( Ones to Thousandths ) Decimal Place Value Chart ( Hundreds to Hundredths ) Decimal Place Value Chart ( Thousands to Thousandths ) Decimal Place Value Chart ( Hundred Thousands to Thousandths ) Decimal Place Value Chart ( Hundred Millions to Millionths )

Decimals in Expanded Form

$problem solving adding decimals$

For students who have difficulty with expanded form, try familiarizing them with the decimal place value chart, and allow them to use it when converting standard form numbers to expanded form. There are actually five ways (two more than with integers) to write expanded form for decimals, and which one you use depends on your application or preference. Here is a quick summary of the various ways using the decimal number 1.23. 1. Expanded Form using decimals: 1 + 0.2 + 0.03 2. Expanded Form using fractions: 1 + 2 ⁄ 10 + 3 ⁄ 100 3. Expanded Factors Form using decimals: (1 × 1) + (2 × 0.1) + (3 × 0.01) 4. Expanded Factors Form using fractions: (1 × 1) + (2 × 1 ⁄ 10 ) + (3 × 1 ⁄ 100 ) 5. Expanded Exponential Form: (1 × 10 0 ) + (2 × 10 -1 ) + (3 × 10 -2 )

Converting Decimals from Standard Form to Expanded Form Using Decimals Converting Decimals from Standard to Expanded Form Using Decimals ( 3 Decimal Places) Converting Decimals from Standard to Expanded Form Using Decimals ( 4 Decimal Places) Converting Decimals from Standard to Expanded Form Using Decimals ( 5 Decimal Places) Converting Decimals from Standard to Expanded Form Using Decimals ( 6 Decimal Places) Converting Decimals from Standard to Expanded Form Using Decimals ( 7 Decimal Places) Converting Decimals from Standard to Expanded Form Using Decimals ( 8 Decimal Places) Converting Decimals from Standard to Expanded Form Using Decimals ( 9 Decimal Places)
Converting Decimals from Standard Form to Expanded Form Using Fractions Converting Decimals from Standard to Expanded Form Using Fractions ( 3 Decimal Places) Converting Decimals from Standard to Expanded Form Using Fractions ( 4 Decimal Places) Converting Decimals from Standard to Expanded Form Using Fractions ( 5 Decimal Places) Converting Decimals from Standard to Expanded Form Using Fractions ( 6 Decimal Places) Converting Decimals from Standard to Expanded Form Using Fractions ( 7 Decimal Places) Converting Decimals from Standard to Expanded Form Using Fractions ( 8 Decimal Places) Converting Decimals from Standard to Expanded Form Using Fractions ( 9 Decimal Places)
Converting Decimals from Standard Form to Expanded Factors Form Using Decimals Converting Decimals from Standard to Expanded Factors Form Using Decimals ( 3 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Decimals ( 4 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Decimals ( 5 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Decimals ( 6 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Decimals ( 7 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Decimals ( 8 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Decimals ( 9 Decimal Places)
Converting Decimals from Standard Form to Expanded Factors Form Using Fractions Converting Decimals from Standard to Expanded Factors Form Using Fractions ( 3 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Fractions ( 4 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Fractions ( 5 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Fractions ( 6 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Fractions ( 7 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Fractions ( 8 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Fractions ( 9 Decimal Places)
Converting Decimals from Standard Form to Expanded Exponential Form Converting Decimals from Standard to Expanded Exponential Form ( 3 Decimal Places) Converting Decimals from Standard to Expanded Exponential Form ( 4 Decimal Places) Converting Decimals from Standard to Expanded Exponential Form ( 5 Decimal Places) Converting Decimals from Standard to Expanded Exponential Form ( 6 Decimal Places) Converting Decimals from Standard to Expanded Exponential Form ( 7 Decimal Places) Converting Decimals from Standard to Expanded Exponential Form ( 8 Decimal Places) Converting Decimals from Standard to Expanded Exponential Form ( 9 Decimal Places)
Retro Converting Decimals from Standard Form to Expanded Form Retro Standard to Expanded Form (3 digits before decimal; 2 after) Retro Standard to Expanded Form (4 digits before decimal; 3 after) Retro Standard to Expanded Form (6 digits before decimal; 4 after) Retro Standard to Expanded Form (12 digits before decimal; 3 after)
Retro European Format Converting Decimals from Standard Form to Expanded Form Standard to Expanded Form (3 digits before decimal; 2 after) Standard to Expanded Form (4 digits before decimal; 3 after) Standard to Expanded Form (6 digits before decimal; 4 after)

Of course, being able to convert numbers already in expanded form to standard form is also important. All five versions of decimal expanded form are included in these worksheets.

Converting Decimals to Standard Form from Expanded Form Using Decimals Converting Decimals from Expanded Form Using Decimals to Standard Form ( 3 Decimal Places) Converting Decimals from Expanded Form Using Decimals to Standard Form ( 4 Decimal Places) Converting Decimals from Expanded Form Using Decimals to Standard Form ( 5 Decimal Places) Converting Decimals from Expanded Form Using Decimals to Standard Form ( 6 Decimal Places) Converting Decimals from Expanded Form Using Decimals to Standard Form ( 7 Decimal Places) Converting Decimals from Expanded Form Using Decimals to Standard Form ( 8 Decimal Places) Converting Decimals from Expanded Form Using Decimals to Standard Form ( 9 Decimal Places)
Converting Decimals to Standard Form from Expanded Form Using Fractions Converting Decimals from Expanded Form Using Fractions to Standard Form ( 3 Decimal Places) Converting Decimals from Expanded Form Using Fractions to Standard Form ( 4 Decimal Places) Converting Decimals from Expanded Form Using Fractions to Standard Form ( 5 Decimal Places) Converting Decimals from Expanded Form Using Fractions to Standard Form ( 6 Decimal Places) Converting Decimals from Expanded Form Using Fractions to Standard Form ( 7 Decimal Places) Converting Decimals from Expanded Form Using Fractions to Standard Form ( 8 Decimal Places) Converting Decimals from Expanded Form Using Fractions to Standard Form ( 9 Decimal Places)
Converting Decimals to Standard Form from Expanded Factors Form Using Decimals Converting Decimals from Expanded Factors Form Using Decimals to Standard Form ( 3 Decimal Places) Converting Decimals from Expanded Factors Form Using Decimals to Standard Form ( 4 Decimal Places) Converting Decimals from Expanded Factors Form Using Decimals to Standard Form ( 5 Decimal Places) Converting Decimals from Expanded Factors Form Using Decimals to Standard Form ( 6 Decimal Places) Converting Decimals from Expanded Factors Form Using Decimals to Standard Form ( 7 Decimal Places) Converting Decimals from Expanded Factors Form Using Decimals to Standard Form ( 8 Decimal Places) Converting Decimals from Expanded Factors Form Using Decimals to Standard Form ( 9 Decimal Places)
Converting Decimals to Standard Form from Expanded Factors Form Using Fractions Converting Decimals from Expanded Factors Form Using Fractions to Standard Form ( 3 Decimal Places) Converting Decimals from Expanded Factors Form Using Fractions to Standard Form ( 4 Decimal Places) Converting Decimals from Expanded Factors Form Using Fractions to Standard Form ( 5 Decimal Places) Converting Decimals from Expanded Factors Form Using Fractions to Standard Form ( 6 Decimal Places) Converting Decimals from Expanded Factors Form Using Fractions to Standard Form ( 7 Decimal Places) Converting Decimals from Expanded Factors Form Using Fractions to Standard Form ( 8 Decimal Places) Converting Decimals from Expanded Factors Form Using Fractions to Standard Form ( 9 Decimal Places)
Converting Decimals to Standard Form from Expanded Exponential Form Converting Decimals from Expanded Exponential Form to Standard Form ( 3 Decimal Places) Converting Decimals from Expanded Exponential Form to Standard Form ( 4 Decimal Places) Converting Decimals from Expanded Exponential Form to Standard Form ( 5 Decimal Places) Converting Decimals from Expanded Exponential Form to Standard Form ( 6 Decimal Places) Converting Decimals from Expanded Exponential Form to Standard Form ( 7 Decimal Places) Converting Decimals from Expanded Exponential Form to Standard Form ( 8 Decimal Places) Converting Decimals from Expanded Exponential Form to Standard Form ( 9 Decimal Places)
Retro Converting Decimals to Standard Form from Expanded Form Retro Expanded to Standard Form (3 digits before decimal; 2 after) Retro Expanded to Standard Form (4 digits before decimal; 3 after) Retro Expanded to Standard Form (6 digits before decimal; 4 after) Retro Expanded to Standard Form (12 digits before decimal; 3 after)
Retro European Format Converting Decimals to Standard Form from Expanded Form Retro European Format Expanded to Standard Form (3 digits before decimal; 2 after) Retro European Format Expanded to Standard Form (4 digits before decimal; 3 after) Retro European Format Expanded to Standard Form (6 digits before decimal; 4 after)

Rounding Decimals Worksheets

$problem solving adding decimals$

Rounding decimals is similar to rounding whole numbers; you have to know your place value! When learning about rounding, it is also useful to learn about truncating since it may help students to round properly. A simple strategy for rounding involves truncating, using the digits after the truncation to determine whether the new terminating digit remains the same or gets incremented, then taking action by incrementing if necessary and throwing away the rest. Here is a simple example: Round 4.567 to the nearest tenth. First, truncate the number after the tenths place 4.5|67. Next, look at the truncated part (67). Is it more than half way to 99 (i.e. 50 or more)? It is, so the decision will be to increment. Lastly, increment the tenths value by 1 to get 4.6. Of course, the situation gets a little more complicated if the terminating digit is a 9. In that case, some regrouping might be necessary. For example: Round 6.959 to the nearest tenth. Truncate: 6.9|59. Decide to increment since 59 is more than half way to 99. Incrementing results in the necessity to regroup the tenths into an extra one whole, so the result is 7.0. Watch that students do not write 6.10. You will want to correct them right away in that case. One last note: if there are three truncated digits then the question becomes is the number more than half way to 999. Likewise, for one digit; is the number more than half way to 9. And so on...

We should also mention that in some scientific and mathematical "circles," rounding is slightly different "on a 5". For example, most people would round up on a 5 such as: 6.5 --> 7; 3.555 --> 3.56; 0.60500 --> 0.61; etc. A different way to round on a 5, however, is to round to the nearest even number, so 5.5 would be rounded up to 6, but 8.5 would be rounded down to 8. The main reason for this is not to skew the results of a large number of rounding events. If you always round up on a 5, on average, you will have slightly higher results than you should. Because most pre-college students round up on a 5, that is what we have done in the worksheets that follow.

Rounding Decimals to Whole Numbers Round Tenths to a Whole Number Round Hundredths to a Whole Number Round Thousandths to a Whole Number Round Ten Thousandths to a Whole Number Round Various Decimals to a Whole Number
Rounding Decimals to Tenths Round Hundredths to Tenths Round Thousandths to Tenths Round Ten Thousandths to Tenths Round Various Decimals to Tenths
Rounding Decimals to Hundredths Round Thousandths to Hundredths Round Ten Thousandths to Hundredths Round Various Decimals to Hundredths
Rounding Decimals to Thousandths Round Ten Thousandths to Thousandths
Rounding Decimals to Various Decimal Places Round Hundredths to Various Decimal Places Round Thousandths to Various Decimal Places Round Ten Thousandths to Various Decimal Places Round Various Decimals to Various Decimal Places
European Format Rounding Decimals to Whole Numbers European Format Round Tenths to a Whole Number European Format Round Hundredths to a Whole Number European Format Round Thousandths to a Whole Number European Format Round Ten Thousandths to Whole Number
European Format Rounding Decimals to Tenths European Format Round Hundredths to Tenths European Format Round Thousandths to Tenths European Format Round Ten Thousandths to Tenths
European Format Rounding Decimals to Hundredths European Format Round Thousandths to Hundredths European Format Round Ten Thousandths to Hundredths
European Format Rounding Decimals to Thousandths European Format Round Ten Thousandths to Thousandths

Comparing and Ordering/Sorting Decimals Worksheets.

$problem solving adding decimals$

The comparing decimals worksheets have students compare pairs of numbers and the ordering decimals worksheets have students compare a list of numbers by sorting them.

Students who have mastered comparing whole numbers should find comparing decimals to be fairly easy. The easiest strategy is to compare the numbers before the decimal (the whole number part) first and only compare the decimal parts if the whole number parts are equal. These sorts of questions allow teachers/parents to get a good idea of whether students have grasped the concept of decimals or not. For example, if a student thinks that 4.93 is greater than 8.7, then they might need a little more instruction in place value. Close numbers means that some care was taken to make the numbers look similar. For example, they could be close in value, e.g. 3.3. and 3.4 or one of the digits might be changed as in 5.86 and 6.86.

Comparing Decimals up to Tenths Comparing Decimals up to Tenths ( Both Numbers Random ) Comparing Decimals up to Tenths ( One Digit Differs ) Comparing Decimals up to Tenths ( Both Numbers Close in Value ) Comparing Decimals up to Tenths ( Various Tricks )
Comparing Decimals up to Hundredths Comparing Decimals up to Hundredths ( Both Numbers Random ) Comparing Decimals up to Hundredths ( One Digit Differs ) Comparing Decimals up to Hundredths ( Two Digits Swapped ) Comparing Decimals up to Hundredths ( Both Numbers Close in Value ) Comparing Decimals up to Hundredths ( One Number has an Extra Digit ) Comparing Decimals up to Hundredths ( Various Tricks )
Comparing Decimals up to Thousandths Comparing Decimals up to Thousandths Comparing Decimals up to Thousandths ( One Digit Differs ) Comparing Decimals up to Thousandths ( Two Digits Swapped ) Comparing Decimals up to Thousandths ( Both Numbers Close in Value ) Comparing Decimals up to Thousandths ( One Number has an Extra Digit ) Comparing Decimals up to Thousandths ( Various Tricks )
Comparing Decimals up to Ten Thousandths Comparing Decimals up to Ten Thousandths Comparing Decimals up to Ten Thousandths ( One Digit Differs ) Comparing Decimals up to Ten Thousandths ( Two Digits Swapped ) Comparing Decimals up to Ten Thousandths ( Both Numbers Close in Value ) Comparing Decimals up to Ten Thousandths ( One Number has an Extra Digit ) Comparing Decimals up to Ten Thousandths ( Various Tricks )
Comparing Decimals up to Hundred Thousandths Comparing Decimals up to Hundred Thousandths Comparing Decimals up to Hundred Thousandths ( One Digit Differs ) Comparing Decimals up to Hundred Thousandths ( Two Digits Swapped ) Comparing Decimals up to Hundred Thousandths ( Both Numbers Close in Value ) Comparing Decimals up to Hundred Thousandths ( One Number has an Extra Digit ) Comparing Decimals up to Hundred Thousandths ( Various Tricks )
European Format Comparing Decimals European Format Comparing Decimals up to Tenths European Format Comparing Decimals up to Tenths (tight) European Format Comparing Decimals up to Hundredths European Format Comparing Decimals up to Hundredths (tight) European Format Comparing Decimals up to Thousandths European Format Comparing Decimals up to Thousandths (tight)

Ordering decimals is very much like comparing decimals except there are more than two numbers. Generally, students determine the least (or greatest) decimal to start, cross it off the list then repeat the process to find the next lowest/greatest until they get to the last number. Checking the list at the end is always a good idea.

Ordering/Sorting Decimals Ordering/Sorting Decimal Hundredths Ordering/Sorting Decimal Thousandths
European Format Ordering/Sorting Decimals European Format Ordering/Sorting Decimal Tenths (8 per set) European Format Ordering/Sorting Decimal Hundredths (8 per set) European Format Ordering/Sorting Decimal Thousandths (8 per set) European Format Ordering/Sorting Decimal Ten Thousandths (8 per set) European Format Ordering/Sorting Decimals with Various Decimal Places(8 per set)

Converting Decimals to Fractions and Other Number Formats

$problem solving adding decimals$

There are many good reasons for converting decimals to other number formats. Dealing with a fraction in arithmetic is often easier than the equivalent decimal. Consider 0.333... which is equivalent to 1/3. Multiplying 300 by 0.333... is difficult, but multiplying 300 by 1/3 is super easy! Students should be familiar with some of the more common fraction/decimal conversions, so they can switch back and forth as needed.

Converting Between Decimals and Fractions Converting Fractions to Terminating Decimals Converting Fractions to Terminating and Repeating Decimals Converting Terminating Decimals to Fractions Converting Terminating and Repeating Decimals to Fractions Converting Fractions to Hundredths
Converting Between Decimals, Fraction, Percents and Ratios Converting Fractions to Decimals, Percents and Part-to-Part Ratios Converting Fractions to Decimals, Percents and Part-to-Whole Ratios Converting Decimals to Fractions, Percents and Part-to-Part Ratios Converting Decimals to Fractions, Percents and Part-to-Whole Ratios Converting Percents to Fractions, Decimals and Part-to-Part Ratios Converting Percents to Fractions, Decimals and Part-to-Whole Ratios Converting Part-to-Part Ratios to Fractions, Decimals and Percents Converting Part-to-Whole Ratios to Fractions, Decimals and Percents Converting Various Fractions, Decimals, Percents and Part-to-Part Ratios Converting Various Fractions, Decimals, Percents and Part-to-Whole Ratios Converting Various Fractions, Decimals, Percents and Part-to-Part Ratios with 7ths and 11ths Converting Various Fractions, Decimals, Percents and Part-to-Whole Ratios with 7ths and 11ths

Adding and Subtracting Decimals

$problem solving adding decimals$

Try the following mental addition strategy for decimals. Begin by ignoring the decimals in the addition question. Add the numbers as if they were whole numbers. For example, 3.25 + 4.98 could be viewed as 325 + 498 = 823. Use an estimate to decide where to place the decimal. In the example, 3.25 + 4.98 is approximately 3 + 5 = 8, so the decimal in the sum must go between the 8 and the 2 (i.e. 8.23)

Adding Tenths Adding Decimal Tenths with 0 Before the Decimal (range 0.1 to 0.9) Adding Decimal Tenths with 1 Digit Before the Decimal (range 1.1 to 9.9) Adding Decimal Tenths with 2 Digits Before the Decimal (range 10.1 to 99.9)
Adding Hundredths Adding Decimal Hundredths with 0 Before the Decimal (range 0.01 to 0.99) Adding Decimal Hundredths with 1 Digit Before the Decimal (range 1.01 to 9.99) Adding Decimal Hundredths with 2 Digits Before the Decimal (range 10.01 to 99.99)
Adding Thousandths Adding Decimal Thousandths with 0 Before the Decimal (range 0.001 to 0.999) Adding Decimal Thousandths with 1 Digit Before the Decimal (range 1.001 to 9.999) Adding Decimal Thousandths with 2 Digits Before the Decimal (range 10.001 to 99.999)
Adding Ten Thousandths Adding Decimal Ten Thousandths with 0 Before the Decimal (range 0.0001 to 0.9999) Adding Decimal Ten Thousandths with 1 Digit Before the Decimal (range 1.0001 to 9.9999) Adding Decimal Ten Thousandths with 2 Digits Before the Decimal (range 10.0001 to 99.9999)
Adding Various Decimal Places Adding Various Decimal Places with 0 Before the Decimal Adding Various Decimal Places with 1 Digit Before the Decimal Adding Various Decimal Places with 2 Digits Before the Decimal Adding Various Decimal Places with Various Numbers of Digits Before the Decimal
European Format Adding Decimals European Format Adding decimal tenths with 0 before the decimal (range 0,1 to 0,9) European Format Adding decimal tenths with 1 digit before the decimal (range 1,1 to 9,9) European Format Adding decimal hundredths with 0 before the decimal (range 0,01 to 0,99) European Format Adding decimal hundredths with 1 digit before the decimal (range 1,01 to 9,99) European Format Adding decimal thousandths with 0 before the decimal (range 0,001 to 0,999) European Format Adding decimal thousandths with 1 digit before the decimal (range 1,001 to 9,999) European Format Adding decimal ten thousandths with 0 before the decimal (range 0,0001 to 0,9999) European Format Adding decimal ten thousandths with 1 digit before the decimal (range 1,0001 to 9,9999) European Format Adding mixed decimals with Various Decimal Places European Format Adding mixed decimals with Various Decimal Places (1 to 9 before decimal)

Base ten blocks can be used for decimal subtraction. Just redefine the blocks, so the big block is a one, the flat is a tenth, the rod is a hundredth and the little cube is a thousandth. Model and subtract decimals using base ten blocks, so students can "see" how decimals really work.

Subtracting Tenths Subtracting Decimal Tenths with No Integer Part Subtracting Decimal Tenths with an Integer Part in the Minuend Subtracting Decimal Tenths with an Integer Part in the Minuend and Subtrahend
Subtracting Hundredths Subtracting Decimal Hundredths with No Integer Part Subtracting Decimal Hundredths with an Integer Part in the Minuend and Subtrahend Subtracting Decimal Hundredths with a Larger Integer Part in the Minuend
Subtracting Thousandths Subtracting Decimal Thousandths with No Integer Part Subtracting Decimal Thousandths with an Integer Part in the Minuend and Subtrahend
Subtracting Ten Thousandths Subtracting Decimal Ten Thousandths with No Integer Part Subtracting Decimal Ten Thousandths with an Integer Part in the Minuend and Subtrahend
Subtracting Various Decimal Places Subtracting Various Decimals to Hundredths Subtracting Various Decimals to Thousandths Subtracting Various Decimals to Ten Thousandths
European Format Subtracting Decimals European Format Decimal subtraction (range 0,1 to 0,9) European Format Decimal subtraction (range 1,1 to 9,9) European Format Decimal subtraction (range 0,01 to 0,99) European Format Decimal subtraction (range 1,01 to 9,99) European Format Decimal subtraction (range 0,001 to 0,999) European Format Decimal subtraction (range 1,001 to 9,999) European Format Decimal subtraction (range 0,0001 to 0,9999) European Format Decimal subtraction (range 1,0001 to 9,9999) European Format Decimal subtraction with Various Decimal Places European Format Decimal subtraction with Various Decimal Places (1 to 9 before decimal)

Adding and subtracting decimals is fairly straightforward when all the decimals are lined up. With the questions arranged horizontally, students are challenged to understand place value as it relates to decimals. A wonderful strategy for placing the decimal is to use estimation. For example if the question is 49.2 + 20.1, the answer without the decimal is 693. Estimate by rounding 49.2 to 50 and 20.1 to 20. 50 + 20 = 70. The decimal in 693 must be placed between the 9 and the 3 as in 69.3 to make the number close to the estimate of 70.

The above strategy will go a long way in students understanding operations with decimals, but it is also important that they have a strong foundation in place value and a proficiency with efficient strategies to be completely successful with these questions. As with any math skill, it is not wise to present this to students until they have the necessary prerequisite skills and knowledge.

Horizontally Arranged Adding Decimals Adding Decimals to Tenths Horizontally Adding Decimals to Hundredths Horizontally Adding Decimals to Thousandths Horizontally Adding Decimals to Ten Thousandths Horizontally Adding Decimals Horizontally With Up to Two Places Before and After the Decimal Adding Decimals Horizontally With Up to Three Places Before and After the Decimal Adding Decimals Horizontally With Up to Four Places Before and After the Decimal
Horizontally Arranged Subtracting Decimals Subtracting Decimals to Tenths Horizontally Subtracting Decimals to Hundredths Horizontally Subtracting Decimals to Thousandths Horizontally Subtracting Decimals to Ten Thousandths Horizontally Subtracting Decimals Horizontally With Up to Two Places Before and After the Decimal Subtracting Decimals Horizontally With Up to Three Places Before and After the Decimal Subtracting Decimals Horizontally With Up to Four Places Before and After the Decimal
Horizontally Arranged Mixed Adding and Subtracting Decimals Adding and Subtracting Decimals to Tenths Horizontally Adding and Subtracting Decimals to Hundredths Horizontally Adding and Subtracting Decimals to Thousandths Horizontally Adding and Subtracting Decimals to Ten Thousandths Horizontally Adding and Subtracting Decimals Horizontally With Up to Two Places Before and After the Decimal Adding and Subtracting Decimals Horizontally With Up to Three Places Before and After the Decimal Adding and Subtracting Decimals Horizontally With Up to Four Places Before and After the Decimal

Multiplying and Dividing Decimals

$problem solving adding decimals$

Multiplying decimals by whole numbers is very much like multiplying whole numbers except there is a decimal to deal with. Although students might initially have trouble with it, through the power of rounding and estimating, they can generally get it quite quickly. Many teachers will tell students to ignore the decimal and multiply the numbers just like they would whole numbers. This is a good strategy to use. Figuring out where the decimal goes at the end can be accomplished by counting how many decimal places were in the original question and giving the answer that many decimal places. To better understand this method, students can round the two factors and multiply in their head to get an estimate then place the decimal based on their estimate. For example, multiplying 9.84 × 91, students could first round the numbers to 10 and 91 (keep 91 since multiplying by 10 is easy) then get an estimate of 910. Actually multiplying (ignoring the decimal) gets you 89544. To get that number close to 910, the decimal needs to go between the 5 and the 4, thus 895.44. Note that there are two decimal places in the factors and two decimal places in the answer, but estimating made it more understandable rather than just a method.

Multiplying Decimals by 1-Digit Whole Numbers Multiply 2-digit tenths by 1-digit whole numbers Multiply 2-digit hundredths by 1-digit whole numbers Multiply 2-digit thousandths by 1-digit whole numbers Multiply 3-digit tenths by 1-digit whole numbers Multiply 3-digit hundredths by 1-digit whole numbers Multiply 3-digit thousandths by 1-digit whole numbers Multiply various decimals by 1-digit whole numbers
Multiplying Decimals by 2-Digit Whole Numbers Multiplying 2-digit tenths by 2-digit whole numbers Multiplying 2-digit hundredths by 2-digit whole numbers Multiplying 3-digit tenths by 2-digit whole numbers Multiplying 3-digit hundredths by 2-digit whole numbers Multiplying 3-digit thousandths by 2-digit whole numbers Multiplying various decimals by 2-digit whole numbers
Multiplying Decimals by Tenths Multiplying 2-digit whole by 2-digit tenths Multiplying 2-digit tenths by 2-digit tenths Multiplying 2-digit hundredths by 2-digit tenths Multiplying 3-digit whole by 2-digit tenths Multiplying 3-digit tenths by 2-digit tenths Multiplying 3-digit hundredths by 2-digit tenths Multiplying 3-digit thousandths by 2-digit tenths Multiplying various decimals by 2-digit tenths
Multiplying Decimals by Hundredths Multiplying 2-digit whole by 2-digit hundredths Multiplying 2-digit tenths by 2-digit hundredths Multiplying 2-digit hundredths by 2-digit hundredths Multiplying 3-digit whole by 2-digit hundredths Multiplying 3-digit tenths by 2-digit hundredths Multiplying 3-digit hundredths by 2-digit hundredths Multiplying 3-digit thousandths by 2-digit hundredths Multiplying various decimals by 2-digit hundredths
Multiplying Decimals by Various Decimal Places Multiplying 2-digit by 2-digit numbers with various decimal places Multiplying 3-digit by 2-digit numbers with various decimal places
Decimal Long Multiplication in Various Ranges Decimal Multiplication (range 0.1 to 0.9) Decimal Multiplication (range 1.1 to 9.9) Decimal Multiplication (range 10.1 to 99.9) Decimal Multiplication (range 0.01 to 0.99) Decimal Multiplication (range 1.01 to 9.99) Decimal Multiplication (range 10.01 to 99.99) Random # Digits Random # Places
European Format Multiplying Decimals by 2-Digit Whole Numbers European Format 2-digit whole × 2-digit hundredths European Format 2-digit tenths × 2-digit whole European Format 2-digit hundredths × 2-digit whole European Format 3-digit tenths × 2-digit whole European Format 3-digit hundredths × 2-digit whole European Format 3-digit thousandths × 2-digit whole
European Format Multiplying Decimals by 2-Digit Tenths European Format 2-digit whole × 2-digit tenths European Format 2-digit tenths × 2-digit tenths European Format 2-digit hundredths × 2-digit tenths European Format 3-digit whole × 2-digit tenths European Format 3-digit tenths × 2-digit tenths European Format 3-digit hundredths × 2-digit tenths European Format 3-digit thousandths × 2-digit tenths
European Format Multiplying Decimals by 2-Digit Hundredths European Format 2-digit tenths × 2-digit hundredths European Format 2-digit hundredths × 2-digit hundredths European Format 3-digit whole × 2-digit hundredths European Format 3-digit tenths × 2-digit hundredths European Format 3-digit hundredths × 2-digit hundredths European Format 3-digit thousandths × 2-digit hundredths
European Format Multiplying Decimals by Various Decimal Places European Format 2-digit × 2-digit with various decimal places European Format 3-digit × 2-digit with various decimal places
Dividing Decimals by Whole Numbers Divide Tenths by a Whole Number Divide Hundredths by a Whole Number Divide Thousandths by a Whole Number Divide Ten Thousandths by a Whole Number Divide Various Decimals by a Whole Number

In case you aren't familiar with dividing with a decimal divisor, the general method for completing questions is by getting rid of the decimal in the divisor. This is done by multiplying the divisor and the dividend by the same amount, usually a power of ten such as 10, 100 or 1000. For example, if the division question is 5.32/5.6, you would multiply the divisor and dividend by 10 to get the equivalent division problem, 53.2/56. Completing this division will result in the exact same quotient as the original (try it on your calculator if you don't believe us). The main reason for completing decimal division in this way is to get the decimal in the correct location when using the U.S. long division algorithm.

A much simpler strategy, in our opinion, is to initially ignore the decimals all together and use estimation to place the decimal in the quotient. In the same example as above, you would complete 532/56 = 95. If you "flexibly" round the original, you will get about 5/5 which is about 1, so the decimal in 95 must be placed to make 95 close to 1. In this case, you would place it just before the 9 to get 0.95. Combining this strategy with the one above can also help a great deal with more difficult questions. For example, 4.584184 ÷ 0.461 can first be converted the to equivalent: 4584.184 ÷ 461 (you can estimate the quotient to be around 10). Complete the division question without decimals: 4584184 ÷ 461 = 9944 then place the decimal, so that 9944 is about 10. This results in 9.944.

Dividing decimal numbers doesn't have to be too difficult, especially with the worksheets below where the decimals work out nicely. To make these worksheets, we randomly generated a divisor and a quotient first, then multiplied them together to get the dividend. Of course, you will see the quotients only on the answer page, but generating questions in this way makes every decimal division problem work out nicely.

Decimal Long Division with Quotients That Work Out Nicely Dividing Decimals by Various Decimals with Various Sizes of Quotients Dividing Decimals by 1-Digit Tenths (e.g. 0.72 ÷ 0.8 = 0.9) Dividing Decimals by 1-Digit Tenths with Larger Quotients (e.g. 3.2 ÷ 0.5 = 6.4) Dividing Decimals by 2-Digit Tenths (e.g. 10.75 ÷ 2.5 = 4.3) Dividing Decimals by 2-Digit Tenths with Larger Quotients (e.g. 387.75 ÷ 4.7 = 82.5) Dividing Decimals by 3-Digit Tenths (e.g. 1349.46 ÷ 23.8 = 56.7) Dividing Decimals by 2-Digit Hundredths (e.g. 0.4368 ÷ 0.56 = 0.78) Dividing Decimals by 2-Digit Hundredths with Larger Quotients (e.g. 1.7277 ÷ 0.39 = 4.43) Dividing Decimals by 3-Digit Hundredths (e.g. 31.4863 ÷ 4.61 = 6.83) Dividing Decimals by 4-Digit Hundredths (e.g. 7628.1285 ÷ 99.91 = 76.35) Dividing Decimals by 3-Digit Thousandths (e.g. 0.076504 ÷ 0.292 = 0.262) Dividing Decimals by 3-Digit Thousandths with Larger Quotients (e.g. 2.875669 ÷ 0.551 = 5.219)

These worksheets would probably be used for estimating and calculator work.

Horizontally Arranged Decimal Division Random # Digits Random # Places
European Format Dividing Decimals with Quotients That Work Out Nicely European Format Divide Tenths by a Whole Number European Format Divide Hundredths by a Whole Number European Format Divide Thousandths by a Whole Number European Format Divide Ten Thousandths by a Whole Number European Format Divide Various Decimals by a Whole Number

In the next set of questions, the quotient does not always work out well and may have repeating decimals. The answer key shows a rounded quotient in these cases.

European Format Dividing Decimals by Whole Numbers European Format Divide Tenths by a Whole Number European Format Divide Hundredths by a Whole Number European Format Divide Thousandths by a Whole Number European Format Divide Ten Thousandths by a Whole Number European Format Divide Various Decimals by a Whole Number
European Format Dividing Decimals by Decimals European Format Decimal Tenth (0,1 to 9,9) Divided by Decimal Tenth (1,1 to 9,9) European Format Decimal Hundredth (0,01 to 9,99) Divided by Decimal Tenth (1,1 to 9,9) European Format Decimal Thousandth (0,001 to 9,999) Divided by Decimal Tenth (1,1 to 9,9) European Format Decimal Ten Thousandth (0,0001 to 9,9999) Divided by Decimal Tenth (1,1 to 9,9) European Format Various Decimal Places (0,1 to 9,9999) Divided by Decimal Tenth (1,1 to 9,9) European Format Various Decimal Places (0,1 to 9,9999) Divided by Various Decimal Places (1,1 to 9,9999)

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Decimals - Adding and Subtracting Decimals

Decimals -, adding and subtracting decimals, decimals adding and subtracting decimals.

Decimals: Adding and Subtracting Decimals

Lesson 2: adding and subtracting decimals.

/en/decimals/introduction-to-decimals/content/

Adding and subtracting with decimals

Adding and subtracting decimals happens a lot in real life. You may find that you need to add up the cost of your groceries to see if you have enough money to pay for them. Or perhaps you need to subtract the cost of a bill from your bank account.

When you're adding or subtracting decimal numbers, it's important to set up the expression correctly . The numbers need to be in a certain place, and so do the decimals .

Click through the slideshow below to learn how to set up these expressions.

First, let's set up an addition expression: 21.4 plus 6.82 .

Just like with any addition example, we're going to stack one number on top of the other.

But instead of lining our numbers up on the right...

But instead of lining our numbers up on the right...we're going to line up the decimal points .

No matter how many numbers are on either side of the decimal point, we'll always line up the decimal points before adding.

Once we have the decimal points lined up, our decimals are ready to be added.

When we subtract decimals, we'll set up the decimals in the same way. Let's set up this example.

Instead of lining up our two numbers on the right, we'll line up the two decimal points.

And now our decimals are ready to be subtracted.

Adding decimal numbers

Now that we know how to set up problems with decimals, let's practice by solving a few. First, we'll work on adding . If you feel comfortable adding larger numbers , you're ready to add decimal numbers.

Click through the slideshow to learn how to add decimals.

Let's try solving this problem: 1.9 + 2.15 .

First, we'll make sure the decimals are lined up.

We'll start by adding the digits farthest to the right . In this case, we have nothing on top and 5 on the bottom.

Nothing plus 5 equals 5 . We'll write 5 beneath the line.

Now we'll add the next set of digits to the left : 9 and 1 .

9 + 1 equals 10 , but there's no room to write both digits in 10 underneath the 9 and 1 . We'll have to carry .

We learned how to carry numbers in the lesson on Adding Two- and Three-Digit Numbers .

We'll write the right digit, 0 , under the line...

We'll write the right digit, 0 , under the line...then we'll carry the left digit, 1 , up to the next set of digits in the problem.

Now we'll write the decimal point. We'll place it directly beneath the other two decimal points.

Next, we'll move left to add the next set of digits: 1 and 2 . Since we carried the 1 , we'll add it too.

1 + 1 + 2 equals 4 . We'll write 4 below the line.

We're done. 1.9 + 2.15 = 4.05 . We can read this answer as four and five-hundredths .

Let's try it with a money problem: $51.99 + $25.32 .

We'll make sure our decimal points are lined up properly.

As always, we'll start by adding the digits on the right. Here, that's 9 and 2 .

9 + 2 equals 11 , so it looks like we'll have to carry .

The 1 on the right stays underneath the 9 and the 2 .

We'll carry the 1 on the left and place it above the next set of digits to the left.

Now we'll move left to add the next set of digits. Since we carried the 1 , we'll add it too.

1 + 9 + 3 = 13 .

We'll put the 3 under the digits we added.

We'll carry the 1 and place it above the next column to the left.

Now it's time to write the decimal point. Remember to place it directly beneath the other two decimal points.

Next, we'll move left and add the next set of digits. We'll make sure to add the 1 we carried.

1 + 1 + 5 = 7 . We'll write 7 beneath the line.

To finish, we'll add the next column to the left: 5 and 2 .

5 + 2 equals 7 . We'll write 7 underneath the 2 .

We'll finish by writing the dollar sign ( $ ).

We're done. $51.99 + $25.32 = $77.31 . We can read this answer as seventy-seven dollars and thirty-one cents .

Try solving these problems to practice adding decimal numbers.

Subtracting Decimal Numbers

On the previous page, you saw that adding numbers with decimals is a lot like adding other numbers. The same is true for subtracting numbers with decimals. If you can subtract large numbers , you can subtract numbers with decimals too!

Click through the slideshow to learn how to subtract decimals.

Let's try to solve this problem: 41.2 - 3.09 .

First, we'll make sure the expression is set up correctly. Here, 41.2 is the larger number, so we'll put it on top.

The decimal points are lined up.

As always, we’ll begin with the digits farthest to the right . Here, we have nothing on top and 9 on the bottom.

We can’t take 9 away from nothing . We'll need to place a digit after 41.2 so we can subtract from it.

The value of our number won't change if we use the digit that means nothing: 0 . We'll place a 0 after 41.2 .

Now we can subtract the digits on the right. 0 is smaller than 9 , so we’ll need to borrow to make 0 larger.

We learned how to borrow in the lesson on Subtracting Two- and Three-Digit Numbers .

We'll borrow from the digit to the left of 0 . Here, it's 2 . We'll take 1 from it.

2 - 1 = 1 . To help us remember we subtracted 1, we'll cross out the 2 and write 1 above it.

Then we'll place the 1 we took next to the 0 .

0 becomes 10 .

10 is larger than 9 , which means we can subtract. We'll solve for 10 - 9 .

10 - 9 = 1 . We'll write 1 beneath the line.

Now we'll move left to subtract the next set of digits: 1 - 0 .

1 - 0 = 1 . We'll write 1 beneath the line.

Now it's time to write the decimal point . We'll place it directly beneath the other two decimal points.

Now we'll find the difference of the next set of digits to the left: 1 - 3 .

Because 1 is smaller than 3, it looks like we'll need to borrow again. We need to make the 1 larger.

We'll borrow from the digit to the left of 1 . Here, we'll borrow 1 from the 4 .

4 - 1 = 3 . We'll write 3 above the 4 .

Then we'll place the 1 we took next to the 1 .

1 becomes 11 .

11 is larger than 3 , which means we can subtract. We'll solve for 11 - 3 .

11 - 3 = 8 . We'll write 8 beneath the line.

Finally, we'll move to the left to subtract the last set of digits. The top digit is 3 , but there's nothing beneath it.

3 minus nothing equals 3 , so we'll write 3 beneath the line.

41.2 - 3.09 = 38.11 . We can read this as thirty-eight and eleven-hundredths .

Let's try subtracting money. Let's see if we can solve $14.76 - $3.86 .

First, let's make sure the expression is set up correctly. The larger number is on top , and the decimal points are lined up .

As always, let's start by finding the difference of the digits on the right. Here, that's 6 - 6 .

6 - 6 = 0 . We'll write 0 beneath the line.

We'll move left to the next set of digits: 7 and 8 . 7 is smaller than 8 , so we'll borrow to make 7 larger.

Let's look at the digit to the left of 7 . Here, it's 4 . We'll take 1 from it.

4 - 1 = 3 . We'll cross out the 4 and write 3 above it.

Then we'll place the 1 we took next to the 7 .

7 becomes 17 .

Now it's time to subtract. We'll solve for 17 - 8 .

17 - 8 = 9 . We'll write 9 beneath the line.

We'll put a decimal point directly beneath the other two decimal points.

Next, we'll move left to find the difference of the next set of digits. Here, that's 3 - 3 .

3 - 3 = 0 . We'll write 0 below the line.

Finally, we'll move left to subtract the last set of digits. The top digit is 1 , but there's nothing beneath it.

1 minus nothing equals 1 . We'll write 1 beneath the line.

Next, we'll write a dollar sign ( $ ) to the left of the 1 .

$14.76 - $3.86 = $10.90 . We can read this as ten dollars and ninety cents .

Try solving these problems to practice subtracting decimal numbers.

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Add and subtract with the algorithm

Adding and subtracting decimals

Here we will learn about adding and subtracting decimals, including calculations with two or more decimals, or with a mixture of decimals and whole numbers.

Students will first learn about adding and subtracting decimals as part of number and operations in base ten in 5th grade.

What is adding and subtracting decimals?

Adding and subtracting decimals involves the addition and subtraction of decimal numbers by understanding place value.

When adding or subtracting with decimals special care must be taken to ensure that the decimal points line up with each other. This means that each place value should also line up.

For example, let’s look at 12.5 + 6.23.

Decimal numbers are used in real life particularly when using measurements such as money, length, mass, and capacity. Therefore you may find the skill of adding and subtracting decimals useful when you are problem solving or answering word problems in a real-world context.

On this page, we will be focusing on using the standard algorithm to add or subtract decimals to the thousandths place. No calculations will involve negative numbers or recurring decimals. For information on calculating with negative numbers and different types of decimal numbers, you can follow these links.

See also: Adding and subtracting negative numbers

Common Core State Standards

How does this relate to 5th grade math and 6th grade math?

5th grade – Numbers and Operations in Base Ten (5.NBT.7) Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used
6th grade – The Number System (6.NS.3) Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

How to add and subtract decimals

In order to add or subtract decimals:

Make sure each number has a decimal point and write any \bf{0} placeholders that are required.

Stack the numbers, ensuring that the decimal points line up.

Use the standard algorithm for addition/subtraction, ensuring the decimal point is also written in the answer.

[FREE] Adding And Subtracting Decimals Worksheets (Grade 5 and 6)

Use this worksheet to check your grade 5 and 6 students’ understanding of adding and subtracting decimals . 15 questions with answers to identify areas of strength and support!

Adding and subtracting decimals examples

Example 1: adding two decimals using the standard algorithm with no regrouping.

Calculate 12.3 + 4.5.

Make sure each number has a decimal point and write any 0 placeholders that are required.

Each number has a decimal point and one decimal place, so no zero placeholders are required.

2 Stack the numbers, ensuring that the decimal points line up.

Adding And Subtracting Decimals example 1 image 1

3 Use the standard algorithm for addition/subtraction, ensuring the decimal point is also written in the answer.

Adding the digits in each place value from right to left, we have

Adding And Subtracting Decimals example 1 image 2

Note that the decimal point is placed in the same column in the solution.

So 12.3 + 4.5 = 16.8.

Example 2: adding a whole number and a decimal using the standard algorithm with no regrouping

Calculate 52 + 31.07.

The decimal number contains two decimal places, so we need to write 52 with a decimal point and two 0 placeholders. So, we write 52.00.

Adding And Subtracting Decimals example 2 image 1

So 52 + 31.07 = 83.07.

Example 3: adding two decimals using the standard algorithm with regrouping

Calculate 6.7 + 9.31.

The first number contains one decimal place whereas the second number contains two decimal places, so we need to write a 0 placeholder on the first number. We will therefore write 6.70.

Adding And Subtracting Decimals example 3 image 1

As 7 + 3 = 10, the 1 digit from the number 10 is placed above the ones place, not above the decimal point.

Adding And Subtracting Decimals example 3 image 4

As 6 + 9 + 1 (which we carried over) = 16, we need to carry over the new 1 digit to the tens place and write this below the solution line.

So 6.7 + 9.31 = 16.01.

Example 4: subtracting two decimals using the standard algorithm with no regrouping

Calculate 26.87-14.2.

The two numbers in the question have a different number of decimal places and so we need to write a 0 placeholder on the second number. We will therefore write 14.20.

Adding And Subtracting Decimals example 4 image 1

We subtract the digits in each place value going from right to left, ensuring the digit underneath is subtracted from the digit above.

Adding And Subtracting Decimals example 4 image 2

So 26.87-14.2 = 12.67.

Example 5: subtracting a decimal from a whole number using the standard algorithm with regrouping

Calculate 16-9.4.

The first number is a whole number and the second number contains one decimal place, so we need to write a decimal point and a 0 placeholder on the first number. We will therefore write 16.0.

Adding And Subtracting Decimals example 5 image 1

As the digit below is larger than the digit above in the tenths place, we first need to borrow “1” from the ones place (leaving us with “5” in this place value) for “10” in the tenths place (giving us “10” in this place value).

Adding And Subtracting Decimals example 5 image 2

This means that we need to calculate 10-4, which is equal to 6.

Adding And Subtracting Decimals example 5 image 3

As the digit below is larger than the digit above in the ones place, we need to regroup again. This time we borrow “1” from the tens place (leaving us with “0” in this place) for “10” in the ones place (giving us “15” in this place).

Adding And Subtracting Decimals example 5 image 4

So 16-9.4 = 6.6.

Example 6: subtracting two decimals using the standard algorithm with regrouping

Calculate 2.04-0.952.

The first number has two decimal places and the second number has three decimal places and so we need to write a 0 placeholder on the first number. We will therefore write 2.040.

Adding And Subtracting Decimals example 6 image 1

As the digit below is larger than the digit above in the thousandths place, we first need to borrow “1” from the hundredths place (leaving us with “3” in this place) for “10” in the thousandths place (giving us “10” in this place).

Adding And Subtracting Decimals example 6 image 2

This means that we need to calculate 10-2, which is equal to 8.

Adding And Subtracting Decimals example 6 image 3

As the digit below is larger than the digit above in the hundredths place, we need to use the process of regrouping again. However, we have an issue because the tenths place contains a 0. This means that we need to borrow twice.

First we borrow “1” from the ones place (leaving us with “1” in this place) for “10” in the tenths place (giving us “10” in this place).

Then we borrow “1” from the tenths place (leaving us with “9” in this place) for “10” in the hundredths place (giving us “13” in this place).

Adding And Subtracting Decimals example 6 image 4

We can now calculate 13-5.

Adding And Subtracting Decimals example 6 image 6

So 2.04-0.952 = 1.088.

Teaching tips for adding and subtracting decimals

Review place values before beginning to add or subtract decimals, especially decimal place values. Not only will students need to line up the decimal point, but they also need to ensure that each place value is lined up, so their understanding of place values is vital.
Students may struggle to line up the digits when stacking the numbers, so it may help to provide them with graph paper so they may write the numbers into boxes and keep them aligned. This will also help students see what place values are “missing” a number, and they can add in a zero placeholder into that box.
Provide students with opportunities to solve real-world word problems involving adding or subtracting decimals, such as money or measurement. This will help them better understand the problems and what the numbers represent in a real-life context.

Easy mistakes to make

Lining up decimal numbers in each place value incorrectly When using the standard algorithm for addition of decimals or subtraction of decimals, students can sometimes line up the numbers incorrectly. This is because younger students are sometimes told to line up the numbers from the right side, but this method only works for whole numbers. When stacking the decimal numbers, you must line up the decimal points. This will ensure that the digits are in the correct column according to their place value. Using zero placeholders can also help you to avoid making this mistake.

Related lessons on decimals

Dividing decimals
Multiplying decimals
Multiplying and dividing decimals
Adding decimals
Decimal places
Decimal number line
Decimal place value
Subtracting decimals
Comparing decimals

Practice adding and subtracting decimals questions

1. Solve 58.1 + 0.46.

2. Solve 41.3 + 38.

Adding And Subtracting Decimals practice question 2

3. Solve 10.62 + 7.73.

Adding And Subtracting Decimals practice question 3

4. Solve 16.9-3.3.

Adding And Subtracting Decimals practice question 4

5. Solve 27-1.24.

Adding And Subtracting Decimals practice question 5

6. Solve 7.11-6.84.

Adding And Subtracting Decimals practice question 6

Adding and subtracting decimals word problems

1. This table shows the 4 most recent world records for the men’s 100 meter race.

Adding And Subtracting Decimals word problem 1

Usain Bolt holds the current world record for the men’s 100 meter race at 9.58 seconds.

How many seconds did he shave off the previous world record holder’s time?

9.74-9.58 = 0.16 seconds

2. Abi, Bobby and Cyrus each have some money.

They want to buy a ball from a local shop costing \$3.60 to play catch with.

They decide to put their money together in order to buy the ball.

Abi has \$2.30.

Bobby has \$1.25.

Cyrus has 9 cents.

If they buy the ball, how much change will they get?

Change is \$0.04 or 4 cents.

3. Ali is harvesting potatoes. He weighs and measures the length of a sample of 10 potatoes. Below is a table showing his results.

Adding And Subtracting Decimals word problem 3

(a) Find the difference between the longest potato and the shortest potato in the sample.

(b) What is the total weight of the 3 longest potatoes?

(a) Longest – shortest = 6.1-2.98 = 3.12 \, cm

(b) Potatoes 1, 2, and 4\text{: } 36.1 + 60.8 + 27.7 = 124.6 \, g

Adding and subtracting decimals FAQs

The first step is to stack the numbers, lining up the numbers according to place value and lining up the decimal points.

To add or subtract decimals that do not have the same number of digits in the decimal places, you can use zeros as placeholders and then begin to solve.

In the answer, the decimal point should line up with the decimal points in the numbers you are adding or subtracting. It may be helpful to place the decimal point in the answer space first before beginning to solve.

The next lessons are

Converting fractions, decimals, and percentages
Algebraic expression
Math equations

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{FREE} Adding Decimals Worksheets: Multiple Strategies

Typically, a math worksheet is filled with tedious computation problems. They cover the page with little to no room for writing out work and thinking, and can be so… boring . Well, today I want to share a set of adding decimals worksheets that are not your typical worksheet. Rather than a page filled with problems, each page has a single decimal addition problem, to be solved three different ways. Solving one problem using multiple methods and visuals is more beneficial for students than a page filled with problems. So I hope you’re excited to learn more about the strategies here and grab this FREE set for yourself!

*Please Note: This post contains affiliate links which support the work of this site. Read our full disclosure here .*

Adding Decimals with Multiple Methods:

As I shared in my article, How to Add Decimals , it’s important to let kids learn through visuals, hands on manipulatives and place value in our base ten system.

After a solid foundation is laid, kids can then use the standard, traditional algorithm, which requires lining up the numbers and adding with regrouping, just as they do with integers.

Although I recommend adding decimals with play money and base ten blocks , these worksheets focus on pictorial methods , so kids can show their thinking. You can certainly allow them to also use a hands on model of their choice as well, though!

Adding Decimals Worksheets:

This download (scroll to the end of this post) includes 10 different practice pages plus an answer key . These are part of my complete Add & Subtract Decimals Resource Collection .

On each page, there is one decimal addition problem , plus space to solve the problem by:

Coloring hundreds grids
Using place value
Following the steps of the traditional algorithm

Adding Decimals Using Hundreds Grids:

Each hundreds grid represents one whole , and students can use these to color in and represent each problem to find the new total.

I have included 3 blank grids on each page, but do not specify how students should use these or color them in. Allow them to represent the problem in the way that makes the most sense to them. This might mean they color each addend on different grids, or they might combine them onto one right away.

They might also use two different colored pencils to represent each part as they add them together for the total.

Adding Decimals Using Place Value:

Again, how your students break the decimal values apart and add them together may look different. Don’t require a specific ‘step-by-step’ for this…that defeats the purpose of allowing kids the space to make their own meaning and understanding.

Plus, giving them a ‘step-by-step’ is the same as using the traditional algorithm. Then, rather than building understanding and seeing how to decompose decimals, kids simply have another list of rules to follow .

If your kids are stuck here, encourage them to use number bonds or bar models to break each decimal apart and then see how they can easily add the parts together.

Adding Decimals Using the Traditional Method:

Lastly, kids solve the problem with the standard algorithm, by lining up the numbers and regrouping (when necessary).

If this is still new, or kids feel shaky with regrouping, encourage them to build it out with base ten blocks. The blocks provide a concrete model of how the different places get combined and regrouped.

The goal of these adding decimals worksheets is to help kids see and understand different methods , help them to strengthen their mental math skills and show them the connection between place value and the traditional algorithm .

So I hope this provides meaningful practice for your students, rather than the tedious, boring practice you would typically see on a math worksheet.

These pages are a sample of my complete add & subtract decimals collection !

If you’re interested in the whole set of lessons and games, learn more about it here .

How to Use or Assign These Decimal Practice Pages:

You might be thinking, this is great, but now I have to print an entire packet for each student! That’s so much paper!

Well, I’m here to encourage you to not print all the pages for every single student. That’s not the point.

Instead, I’d encourage you to assign one or two problems at a time, whether this is used in class or as a homework assignment.

If you give students just one problem , they can use the back of their paper to extend their learning even further. For example, you might have them:

Write a word problem to represent the given decimal addition problem
Solve the same problem again, using yet another method (such as a number line)
Create a different addition problem that has the same solution

Another idea is to assign two problems , and print them front and back . That is then just one piece of paper per student, but they’re working through two problems multiple ways .

Another idea is to put students in partners or small groups , and assign each group a different problem to work through.

When everyone is finished, they can then share their solutions with the class , and you can have a discussion about which method students prefer and why .

I hope this gives you lots of great ideas and provides some great math discussion in your classroom!

Want to grab this set of adding decimals practice pages? Just click the link below to grab it in my shop!

{Click HERE to go to my shop and grab the FREE Adding Decimals Worksheets!}

Find more decimal resources at the links below:.

Adding and subtracting decimals on a number line
Adding & subtracting decimals partner challenge (using grids and number lines)
Decimal operations mazes (low-prep practice)
Converting fractions to decimals game
Make a Buck: An simple & fun card game

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Word Problems on Adding Decimals Worksheet

Help your child revise math skills by solving word problems on adding decimals..

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Boost your child's understanding of decimal with this worksheet. Young learners will make connections between math and the real world as they solve a set of decimal word problems involving add to scenarios. In these problems, they comprehend the scenarios and find the unknown quantity. This worksheet will help your students learn addition of decimals in an efficient manner.

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Adding Decimals

Adding decimals means finding the sum of two or more decimal numbers. Although adding decimals is similar to the regular addition of whole numbers, there are certain rules that need to be followed while adding them. Let us learn more about adding decimals, their rules, along with examples.

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5.

How to Add Decimals?

Adding decimals is similar to the usual addition of whole numbers. We know that a decimal number is a number with a whole number part and a fractional part which is separated by a decimal point. However, this does not change the rules for the addition of decimal numbers. For this, we need to align the decimal numbers according to their place values one below the other, keeping the decimal point intact, and then add the numbers. We should remember that the decimal place value chart has some extra place values, like, the place value just after the decimal point is called tenths, followed by hundredths, thousandths and so on.

Rules for Adding Decimals

While adding decimals, we need to remember some rules that would be helpful and make the addition easier.

Align the decimal numbers in such a way that they are placed in the correct place according to their place values .
Always convert the decimal numbers to like decimals , wherever needed.
Add zeros in the places wherever the length of the decimal numbers is not the same.
Now, add the numbers and place the decimal point aligned with the given decimal points.

Adding Decimals with Different Decimal Places

Sometimes, the given numbers are different in their length, that is, they do not have an equal number of decimal digits after the decimal point. In such cases, we convert the given decimal numbers to like decimals by adding the required number of zeros to the right of the decimal. This is done to make the process of addition easier. Like decimals have an equal number of digits after the decimal, for example, 0.14 and 2.35 are like decimals, whereas, unlike decimals have different number of digits after the decimal, for example, 6.32 and 6.324 are unlike decimals. So, after the given decimals are changed to like decimals, they are added and the sum is obtained.

Adding Like Decimals

Example: Add: 2.53 + 1.14

If we observe the given decimals, we see that they are like decimals , so, we will place them in order and do the regular addition.

2.53 +1.14 3.67

Therefore, after adding the decimals, we get the sum as 3.67

Adding Unlike Decimals

Example: Add: 6.3 + 2.54

Solution: We can see that the given decimals are unlike, so we will convert them to like decimals by adding the required number of zeros. We will count the number of digits after the decimal point in both the numbers and identify the higher one in them. In this case, 6.3 has one digit after the decimal, and 2.54 has two digits after the decimal. So, will make it 6.30 so that it becomes of the same length as 2.54. Now, we will add the decimals numbers.

Therefore, the sum of the given decimals is 8.84

Adding Decimals with Whole Numbers

Adding decimals with whole numbers is simple to understand. We place a decimal point after the whole number and add the required number of zeros so as to make both the addends of the same length. This is done in such a way that it aligns with the number of digits in the other number. In other words, we convert them to like decimals and then add them.

Example: Add 4 to 6.54

Step 1: We can see that 4 is a whole number and 6.54 is a decimal number. So, let us make both the numbers of equal length.

Step 2: Since there are two digits after the decimal in 6.54, we will place a decimal after 4 and add two zeros after it so that it becomes a decimal number too.

Step 3: Now, we will add the numbers and the sum of the given numbers will be 10.54

Adding Decimals by Regrouping

Adding decimals by regrouping is similar to the regrouping that is done in the addition of whole numbers. Regrouping is also termed as carrying over. In addition, if the sum of the addends is greater than 9 in any of the columns, we regroup it by carrying over the extra digit to the preceding column. Let us understand how to add decimals by regrouping with the following example.

Example: Add 14.62 + 12.63

Let us see how to add the given decimals by regrouping.

Step 1: Align the given numbers according to their corresponding place value columns and change them to like decimals, if needed. Ensure that the decimal points are aligned with each other.
Step 2: Start adding digits in each column individually, starting from the right and move to the left in the same way as we do for whole numbers. Add the numbers given in the hundredths column (h). 2 + 3 = 5 and write 5 below the column.
Step 3: Move to the tenths column (t) and add 6 + 6 = 12. Now, we cannot place '12' in this column since we can write only one digit below each column, so we regroup the number 12. For this, we write 2 in this column and carry 1 to the preceding column, that is, the ones column (O). This 1 (carry-over) is added along with the numbers in the ones column. Remember to place the decimal point below the decimal point.
Step 4: Now, let us add the numbers under the ones column. Here, after the carry-over is placed in this column, it is added along with the other addends. This will be, 4 + 2 + 1 (carry-over) = 7.
Step 5: Finally, add the numbers given in the tens column (T), that is, 1 + 1 = 2.

Thus, the sum of the numbers 14.62 + 12.63 is 27.25

Tips and Tricks for Adding Decimals

We always start adding decimals from the right-hand side, like in the case of the addition of two whole numbers.
The decimal points are always aligned below the decimal point.
The addition of two decimal numbers can be treated as the addition of two whole numbers initially and the decimal places can be placed in the end to avoid confusion.

☛Related Articles

Decimals and Fractions
Addition and Subtraction of Decimals
Multiplying Decimals
Comparing Decimals

Adding Decimals Examples

Example 1: Add the decimal numbers: 20.62 and 13.01

Solution: For adding decimals, we first need to align them according to their place values and ensure that the decimal point is aligned too.

20.62 +13.01 33.63

Therefore, the sum of the given decimal numbers is 33.63

Example 2: Add the decimal numbers: 4.68 and 3.01

Solution: While adding decimals, we place the numbers in order as per their place values keeping the decimal point intact.

4.68 + 3.01 7.69

Therefore, the sum of the given decimal numbers is 7.69

Example 3: State true or false:

a.) When the given numbers are different in their length, we convert them to unlike decimals.

b.) Like decimals have an equal number of digits after the decimal, for example, 0.34 and 2.63 are like decimals.

a.) False, when the given numbers are different in their length, we convert them to like decimals.

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Practice Questions on Adding Decimals

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FAQs on Adding Decimals

What is addition of decimals.

Addition of decimals means adding decimal numbers following a few rules. Adding decimals is similar to the usual addition of whole numbers. When we add decimal numbers, we align them according to their place values keeping in mind the decimal point that should be placed correctly.

What is the Rule for Adding Decimals?

For adding decimals, we need to remember the following rules that would make the process of addition easier.

Align the decimal numbers in such a manner that they are placed in the correct column according to their place values.
Remember to convert the decimal numbers to like decimals , wherever needed.
Add zeros in the places wherever the length of the decimal numbers is not equal.
Finally, add the numbers and place the decimal point aligned with the given decimal points.

How to Add Decimals By Regrouping?

While adding decimals, the regrouping of numbers is done in the same way as in the addition of whole numbers. The important thing to be kept in mind is that the decimal point and all the numbers should be aligned correctly according to the place values. Regrouping in decimals is done if the sum of the addends is greater than 9 in any of the columns. Then, the extra digit is carried over to the preceding column. For example, if we need to add 3.6 and 2.9, we will start adding the tenths column, which is 6 + 9 = 15. But we cannot place 15 here since only one digit is placed under one column. So, we will write 5 in this column and carry over 1 to the ones column. This is how we regrouped 15. Then, moving on to the ones column, we will add the given numbers along with this carry-over. This will be, 3 + 2 + 1 (carry-over) = 6.5. Therefore, the sum will be 6.5

How to Add Decimals with Whole Numbers?

We add decimals with whole numbers in a very simple way. We place a decimal point after the whole number and write the required number of zeros after the decimal so as to make both the numbers of the same length. In other words, we change them to like decimals and then add them. For example, if we need to add 5 + 3.23, we will change 5 to 5.00 and then add it to 3.23. So, 5.00 + 3.23 = 8.23

How to Add Decimals and Fractions?

In order to add decimals and fractions, we can use the following steps. Let us understand this by adding 14.32 + 1/4. Here 14.32 is a decimal and 1/4 is a fraction .

Step 1: Convert the fraction into its decimal form. So, the fraction 1/4 is written as 0.25 in the decimal form.
Step 2: Write the numbers such that the decimals are aligned according to their place values.Here, 14.32 + 0.25
Step 3: Place zero in the places if the length of decimal numbers is not the same and add the numbers as we add whole numbers, starting from the right and move to the left. Here they are of the same length, therefore, we can move on.
Step 4: So, the sum of the given numbers is 14.32 + 0.25 = 14.57

How to Add Decimals with Different Decimal Places?

If the given set of decimal numbers have different number of digits after the decimal point, they are called unlike decimal fractions . In this case, we count the number of digits after the decimal point in both the numbers and identify the higher one in them. After this step, we add the required number of zeros to the smaller decimal number so that it becomes of the same length as the other number. After this, we add the decimals numbers. For example, if we need to add 23.3 and 12.456, we will make it 23.300 + 12.456 and then add them. So, the sum will be 23.300 + 12.456 = 35.756

What are the Steps for Adding Decimals?

There are some basic steps that are used for adding decimals.

Step 1: First of all, align the decimal numbers according to their place values.
Step 2: Then, convert the decimal numbers to like decimals , if needed.
Step 3: Finally, add the numbers and place the decimal point aligned with the given decimal points.

How is Adding Decimals Similar to Subtracting Decimals?

Adding decimals is similar to subtracting decimals because some common rules are followed in both the operations.

In the addition and subtraction of decimals, we need to place the decimal numbers one below the other in such a way that they are aligned according to their place values along with the decimal point.
We also need to change the given decimal fractions to like decimals so that the process of addition or subtraction becomes easier.
After converting the given decimals to like decimals , by adding the required number of zeros, we add or subtract the given numbers in the regular way in which we add or subtract whole numbers.

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Word Problems on Addition and Subtraction of Decimals | Adding and Subtracting Decimals Word Problems

See your kids excel in mathematics taking the help of the free and extensive problems available on decimal addition and subtraction. Use the interactive exercise Word Problems on Addition and Subtraction and develop personalized learning among your kids. This Worksheet on Adding and Subtracting Decimals has an extensive collection of frequently asked problems in your exams. Assess your strengths and weaknesses using the problems over here regarding decimal addition and subtraction and get a good grip on the concept.

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Subtracting Decimals

Word Problems Involving Addition and Subtraction of Decimals

Example 1. There are 8.50 liters of milk in the pan. Raju added 5 g of sugar and 1.25 liters of water to the pan. Find how many liters of milk and water are there in the pan? Solution: No. of liters of milk in the pan = 8.50 No.of liters of water in the pan = 1.25 No. of liters of milk and water in the pan is 8.50 + 1.25 = 9.75 Hence, There are 9.75 liters of milk and water are there in the pan.

Example 2. Raju has 14.50 acres of agricultural land. He decided to give his first son Sai 6.50 acres of land and the second son Sudheer 5.50 acres of land. Find how much land does Raju has after distributing his sons? Solution: Raju has the agricultural land = 14.50 Raju gave the land for the first son = 6.50 Raju gave the land for the second son = 5.50 No. of acres of land Raju distributed for his sons = 6.50 + 5.50 =12.00 No. of acres of land Raju has after distributing his sons =14.50-12.00 = 2.50 Therefore, Raju has 2.50 acres of agricultural land after distribution.

Example 3. The price of the sugar last month is Rs 42.50. This month the price of sugar is increased by Rs 2.50. Find out what is the price of the sugar this month? Solution: The price of the sugar last month = 42.50 The price of the sugar this month is increased by = 2.50 The price of the sugar this month = 42.50 + 2.50 = 45.00 Hence, the price of the sugar this month is Rs 45.

Example 4. Karthik wants to go to the temple which is 150.50 km. Karthik stops driving the car after driving 65.80 km, because of the traffic jam. How much distance he has to travel for going to the temple? Solution: Karthik wants to go to the temple at a distance = 150.50 Karthik traveled by car up to the distance = 65.80 The distance Karthik has to travel for going to the temple = 150.50-65.80 = 84.70 Therefore, Karthik has to travel 84.70 km for going to the temple.

Example 5. Praveen wants to buy a house in Banglore. He went to choose the houses. In the first house, the rooms were 28.50 square feet longer. The second house was 2.7 square feet shorter. The third house was 5.6 square feet longer than the first house. What is the difference in feet between the second and third house rooms? Solution: The size of the rooms in the first house was = 28.50 The size of the rooms in the second house was shorter by = 2.7 The size of the rooms in the second house was = 28.50 – 2.7 = 25.8 The size of the rooms in the third house was longer than the first house by = 5.6 The size of the rooms in the third house was = 28.50 +5.6 = 34.1 The difference in feet for the second and third house was = 34.1-25.8 = 8.3 Hence, The difference in feet for the second and third houses was 8.3 square feet.

Example 6. Varsha had money Rs 750.80. She bought a dress for Rs 530.20. How much money left with Varsha? Solution: Varsha had money = 750.80 She bought a dress = 530.20 Money left with Varsha = 750.80-530.20 = 220.60 Hence, Money left with Varsha = 220.60

Example 7. Pavan went to a store. He bought 2.25 kg of cashews and almonds. If pavan bought 1.25 kg of almonds, how many kg of cashews? Solution: Total no. of kg of cashews and almonds = 2.25 kg Pavan bought almonds = 1.25 kg No. of kg of cashews = 2.25-1.25 = 1 kg Hence, the total no. of kg of cashews is 1 kg.

Example 8. Sindhu purchased a book for Rs 50.50, a pen for Rs 25.50. How much amount did Sindhu spend? Solution: Sindhu purchased a book = 50.50 Sindhu purchased a pen = 25.50 The amount Sindhu spend = 50.50 +25.50 = 76 Hence, the amount Sindhu spends is Rs 76.

Example 9. Harish has some money. He bought a gift for his friend in the amount of Rs 500.50. Harish is left with the amount of Rs 300. Find the amount of money Harish has before spending the money? Solution: Harish bought a gift for his friend = 500.50 Harish has left with the money = 300 The amount of money Harish has before spending the money = 500.50+300 = 800.50 Therefore, Harish has 800.50 before spending the money.

Example 10. In a juice shop, there are 10.25 liters of orange juice and 12.50 liters of grape juice. How many liters of juices are needed to fill an order of 30 liters of juice? Solution: No. of liters of Orange juice = 10.25 No.of liters of grape juice = 12.50 Total no. of liters of juices in the shop = 10.25+12.50 = 22.75 No. of liters of juices required to fill an order of 30 liters of juice = 30-22.75 = 7.25 Hence, no. of liters of juice required to fill an order is 7.25 liters.

Mixed decimals word problems

Add, subtract and multiply decimals.

These grade 5 math word problems involve the addition, subtraction and multiplication of decimal numbers with one or two decimal digits . Some problems may have more than 2 terms, include superfluous data or require the conversion of fractions with denominators of 10 or 100.

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Adding and Subtracting Decimals – Word Problem Task Cards

Updated: 19 Oct 2023

Have students solve decimal word problems with this set of 16 task cards, perfect for math centers.

Editable: Google Slides

Non-Editable: PDF

Pages: 1 Page

Curriculum Curriculum: CCSS, TEKS

Grades: 5 - 6

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CCSS.MATH.CONTENT.5.NBT.B.7

Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written me...

CCSS.MATH.CONTENT.6.NS.B.3

Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

Math 5.3(K)

Add and subtract positive rational numbers fluently; and

Adding and Subtracting Decimals – Word Problem Task Cards teaching resource

Explore Decimal Word Problems

Are your students practicing how to apply decimal addition and subtraction to a variety of word problems? If your students are fine-tuning their problem-solving skills, the resource will make a great addition to your decimal unit.

This set of 20 adding and subtracting decimals word problems has been created by our expert teacher team to give your students practice solving word problems that involve adding or subtracting decimals to the hundredths place. Students will practice solving problems such as:

John is making a bread recipe with his grandma. The recipe calls for 15.94 grams of flour. He weighed out 18.26 grams. How many grams of flour does John need to put back?

The download for this resource contains:

Instruction page
16 x adding and subtracting decimals word problems
Recording sheet

Through this activity, students will show they can fluently add and subtract multi-digit decimals using the standard algorithm for each operation.

Multiple Uses for These Decimal Word Problem Cards

These decimal word problem task cards can be used in multiple ways in your classroom. You might like to use them in the following ways:

Scoot Activity – Place the cards around the room in numerical order and give each student a recording sheet. Assign students or pairs to a starting point card. Give students time to review the card and record their answers in the corresponding space on their paper. Students will rotate to the next card when you say, “SCOOT!” Continue in this manner until students return to their starting point.
Scavenger Hunt – An adaptation of the above. If you have easy access to an outside area, place the cards around for students to find and then complete. This not only gets students moving but also gets them outside the classroom for a change of scenery!
Exit Tickets – Use these cards as a formative assessment or exit ticket after your lesson on adding and subtracting decimals. Pick a random assortment of cards and project them on the board for the whole class to see. Students can record their answers on a sheet of paper, sticky note or their notebook.

Print and Prepare These Adding and Subtracting Decimals Task Cards

Use the dropdown icon on the Download button to choose between the full-color PDF, low-color PDF, black-and-white PDF or editable Google Slides version of this resource.

Print on cardstock for added durability and longevity. Place all pieces in a folder or large envelope for safekeeping.

This resource was created by Cassandra Friesen, a teacher in Colorado and Teach Starter collaborator.

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Teach Starter has a wide range of teacher-created, curriculum-aligned resources to support you in teaching your upper elementary students about decimal operations. Click below for more great suggestions from our team!

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Have students practice adding and subtracting decimals with this mystery image worksheet.

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IMAGES

Adding Decimals Word Problems Worksheet by Teach Simple
Word Problem Involving Addition Of Decimals
$problem solving adding decimals$
Add, Subtract and Multiply Decimals To Solve Word Problem
Decimal Word Problem worksheet
Adding and Subtracting Decimals Worksheets
Decimal Addition Worksheets

VIDEO

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Singapore Maths, Grade 5 / Primary 5: Decimals, Word Problem Q10
Decimal numbers
Addition and subtraction of Decimal Numbers|step by step #math
Lesson
Adding Decimal Numbers

COMMENTS

Decimal Word Problems Worksheets
Decimal Word Problem Worksheets. Extensive decimal word problems are presented in these sets of worksheets, which require the learner to perform addition, subtraction, multiplication, and division operations. This batch of printable decimal word problem worksheets is curated for students of grade 3 through grade 7. Free worksheets are included.
Decimals word problem worksheets
Adding and subtracting decimals. These grade 4 math worksheets have word problems involving the addition and subtraction of one-digit decimals. Some questions may i) have 3 terms, ii) involve comparisons or iii) require conversions of fractions with a denominator of 10 or 100. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4.
Word Problems on Addition and Subtraction of Decimals
Read the questions given in the word problems on addition and subtraction of decimals to do the needful as required. We know we need to add or subtract the decimals as we add or subtract ordinary numbers. Let us consider some of the following examples. 1. Kate had $ 368.29. Her mother gave her $ 253.46 and her sister gave her $ 57.39.
Worksheet on Word Problems on Addition and Subtraction of Decimals
Practice the questions given in the worksheet on word problems on addition and subtraction of decimals. Read the questions carefully to add or subtract the decimals as required. 1. Tania bought a book for $152.75, a pen for $45.25 and a chocolate for $28.75. What amount did she spend? 2. Nancy bought biscuits for $51.25.
Adding and Subtracting Decimals
Adding decimals is easy when you keep your work neat. To add decimals, follow these steps: Write down the numbers, one under the other, with the decimal points lined up; Put in zeros so the numbers have the same length (see below for why that is OK); Then add, using column addition, remembering to put the decimal point in the answer
Adding Decimals
Free adding decimals math school topic guide, including step-by-step examples, free practice questions, teaching tips, and more! Math Tutoring for Schools. How it Works; Impact; ... give students a decimal addition problem and give them time to solve in a way that makes sense to them. Then go over the different solving strategies as a whole group.
Decimal Word Problems (Mixed Operations) Worksheet and Solutions
Decimal Word Problems Worksheets: 1-Step Word Problems, Add, Subtract. 2-Step Word Problems, Add, Subtract. Decimal Word Problems (Mixed Op) Decimal Word Problems (Mixed Op) Objective: I can solve word problems involving addition, subtraction, multiplication and division of decimals. Share this page to Google Classroom.
Khan Academy
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Adding/Subtracting Decimals Practice Questions
Click here for Answers. addition, subtraction, subtracting. Practice Questions. Previous: Data Handling Cycle Practice Questions. Next: Multiplying/Dividing by Decimals Practice Questions. The Corbettmaths Practice Questions on Adding or Subtracting Decimals.
Add and subtract decimals: word problems
Follow us. Improve your math knowledge with free questions in "Add and subtract decimals: word problems" and thousands of other math skills.
Decimals Worksheets
Thanks for visiting the Decimals Worksheets page at Math-Drills.Com where we make a POINT of helping students learn. On this page, you will find Decimals worksheets on a variety of topics including comparing and sorting decimals, adding, subtracting, multiplying and dividing decimals, and converting decimals to other number formats. To start, you will find the general use printables to be ...
Decimals: Adding and Subtracting Decimals
On the previous page, you saw that adding numbers with decimals is a lot like adding other numbers. The same is true for subtracting numbers with decimals. If you can subtract large numbers, you can subtract numbers with decimals too! Click through the slideshow to learn how to subtract decimals. Let's try to solve this problem: 41.2 - 3.09.
Adding And Subtracting Decimals
How to add and subtract decimals. In order to add or subtract decimals: Make sure each number has a decimal point and write any 0. 0 \bf {0} 0 placeholders that are required. Stack the numbers, ensuring that the decimal points line up. Use the standard algorithm for addition/subtraction, ensuring the decimal point is also written in the answer.
Decimals Worksheets
These decimals worksheets may be configured for 1, 2, and 3 Digits on the right of the decimal and up to 4 digits on the left of the decimal. You may select up to 25 addition and subtraction problems per worksheet. These decimal worksheets allows for the number of digits in the divisors to be varied from 1 to 3.
{FREE} Adding Decimals Worksheets: Multiple Strategies
Adding Decimals Worksheets: This download (scroll to the end of this post) includes 10 different practice pages plus an answer key. These are part of my complete Add & Subtract Decimals Resource Collection. On each page, there is one decimal addition problem, plus space to solve the problem by: Coloring hundreds grids. Using place value.
Addition and Subtraction of Decimals with Steps and Examples
The addition of decimals involves the following steps: Step 1: The numbers are first padded with zero depending upon the maximum digits present after the decimal for any of the numbers. Step 2: The numbers are lined up vertically along with each other. Step 3: Finally, add the decimal numbers similar to integers and place the decimal point ...
Adding & Subtracting Decimals
A decimal word problem is a math story problem that uses decimals. Some decimal word problems are solved by adding or subtracting decimals. Create an account
Word Problems on Adding Decimals
4567+. Boost your child's understanding of decimal with this worksheet. Young learners will make connections between math and the real world as they solve a set of decimal word problems involving add to scenarios. In these problems, they comprehend the scenarios and find the unknown quantity.
Adding Decimals
There are some basic steps that are used for adding decimals. Step 1: First of all, align the decimal numbers according to their place values. Step 2: Then, convert the decimal numbers to like decimals, if needed. Step 3: Finally, add the numbers and place the decimal point aligned with the given decimal points.
Word Problems on Addition and Subtraction of Decimals
Worksheet on Concept of Decimal; Simplify Decimals Involving Addition and Subtraction Decimals; Adding Decimals; Subtracting Decimals; Word Problems Involving Addition and Subtraction of Decimals. Example 1. There are 8.50 liters of milk in the pan. Raju added 5 g of sugar and 1.25 liters of water to the pan.
Mixed decimals word problems for grade 5
These grade 5 math word problems involve the addition, subtraction and multiplication of decimal numbers with one or two decimal digits. Some problems may have more than 2 terms, include superfluous data or require the conversion of fractions with denominators of 10 or 100. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4.
Adding and Subtracting Decimals
If your students are fine-tuning their problem-solving skills, the resource will make a great addition to your decimal unit. This set of 20 adding and subtracting decimals word problems has been created by our expert teacher team to give your students practice solving word problems that involve adding or subtracting decimals to the hundredths ...
3.2.1: Adding and Subtracting Decimals
When adding or subtracting decimals, you must always align the decimal points, which will allow the place-value positions to fall in place. Then add or subtract as you do with whole numbers, regrouping as necessary. You can use these operations to solve real-world problems involving decimals, especially those with money.
Basic Math
Problem 6) The beaker of a sample of petroleum in a laboratory was weighed before and after the contents were evaporated. Before the process, the beaker weighed 1.138 kg. After the process, the beaker weighed 0.55 kg.