problem solving adding decimals

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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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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

Example: add 3.25, 0.075 and 5.

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 ?

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

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)

Printable & Online Decimal Worksheets

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 decimals

Here you will learn about adding decimals including how to add decimals with models and with the standard algorithm.

Students will first learn about adding decimals as part of numbers and operations in base 10 in 5th grade. They will build on this knowledge and use the standard algorithm to add as a part of the number system in 6th grade.

What is adding decimals?

Adding decimals is when you add numbers involving decimals.

Let’s look at the strategies for adding decimals.

Common Core State Standards

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

• Grade 5 – Numbers and Operations in Base 10 (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 method and explain the reasoning used.
• Grade 6 – The Number System (6.NS.B.3) Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

How to add decimals

In order to add decimals with models:

Show each number using decimal models.

Combine each place value.

Write your final answer with the decimal point.

In order to add decimals with the algorithm:

Stack the numbers and line up the decimal points (and place value).

Add each column from right to left and regroup the numbers when necessary.

Write your final answer with the decimal point and check to make sure your answer is reasonable.

[FREE] Adding Decimals Worksheets (Grade 5 to 6)

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

Adding decimals examples

Example 1: adding decimals with models.

Solve 3.5 + 4.9 = \; ?

2 Combine each place value.

3 ones + \; 4 ones = 7 ones

5 tenths + \; 9 tenths = \; 14 tenths

3 Write your final answer with the decimal point.

Example 2: adding decimals with models

Solve 1.12 + 2.3 = \; ?

1 one + \; 2 ones = \; 3 ones

1 tenth + \; 3 tenths = \; 4 tenths

2 hundredths

Example 3: adding numbers with one decimal place

Solve 5.8 + 3.7 = \; ?

The answer is 9.5.

Is this answer reasonable? Use rounding to estimate a reasonable answer.

For smaller numbers, you can round to the nearest ones:

5.8 rounds to 6

3.7 rounds to 4

The sum should be close to 10. Since 9.5 is close, it is a reasonable answer.

Example 4: adding numbers with two decimal places

Solve 9.18 + 7.35 = \; ?

The answer is 16.53.

9.18 rounds to 9

7.35 rounds to 7

The sum should be close to 16. Since 16.53 is close, it is a reasonable answer.

Example 5: adding more than two decimal numbers

Solve 3.79 + 2.18 + 14.6 = \; ?

A zero can be added to 14.6 as a placeholder. It does not change the value because 14.6 = 14.60.

The answer is 20.57.

3.79 rounds to 4

2.18 rounds to 2

14.6 rounds to 15

4 + 2 + 15 = 21

The sum should be close to 21. Since 20.57 is close, it is a reasonable answer.

Example 6: adding more than two decimal numbers

Solve 34.3 + 22.91 + 56.07 = \; ?

A zero can be added to 34.3 as a placeholder. It does not change the value because 34.3 = 34.30.

The answer is 113.28.

For larger numbers, you can round to the nearest tens:

34.3 rounds to 30

22.91 rounds to 20

56.07 rounds to 60

30 + 20 + 60 = 110

The sum should be close to 110. Since 113.28 is close, it is a reasonable answer.

Teaching tips for adding decimals

• Decimal work in 4th grade centers around understanding through models, particularly area models, number lines and connections to fractions with the denominators 10 and 100. To build on this in 5th grade and 6th grade, always have physical or digital models available for students to use when necessary.
• To introduce this topic, 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.
• In the beginning, you may want to stick to smaller decimals or problems that do not involve regrouping. However, at some point it is important to transition to showing students all kinds of decimal addition problems mixed together. This gives them an opportunity to identify which solving strategy to use.
• Math worksheets may have their place when students are still developing understanding around decimal addition, but once students have a successful strategy and can flexibly operate, incorporate math games or real-life projects that involve addition of decimals.

Our favorite mistakes

Related lessons on decimals

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

Practice adding decimals questions

1. Solve 3.7 + 5.6 = \; ?

Then, combine each place value.

3 ones + \; 5 ones = \; 8 ones

7 tenths + \; 6 tenths = \; 13 tenths

Write your final answer with a decimal point.

You can also solve with the algorithm by lining up the decimal points and adding each column.

2. Solve 2.84 + 6.19 = \; ?

2 ones + \; 6 ones = \; 8 ones

84 hundredths + \; 19 hundredths = \; 103 hundredths

3. Solve 0.069 + 5.987 = \; ?

You can solve with the algorithm by lining up the decimal points and adding each column. Regroup the numbers when necessary.

Is this answer reasonable? Use rounding to estimate a reasonable answer. For smaller numbers, you can round to the nearest tenths:

0.069 rounds to 0.1

5.987 rounds to 6

The sum should be close to 6.1. Since 6.056 is close, it is a reasonable answer.

4. Solve 2.1 + 3.87 = \; ?

You can solve with the algorithm by lining up the decimal points and adding each column.

A zero can be added to 2.1 as a placeholder. It does not change the value because 2.1 = 2.10.

Is this answer reasonable? Use rounding to estimate a reasonable answer. For smaller numbers, you can round to the nearest ones:

2.1 rounds to 2

3.87 rounds to 4

The sum should be close to 6. Since 5.97 is close, it is a reasonable answer.

5. Solve 9.04 + 17.381 = \; ?

A zero can be added to 9.04 as a placeholder. It does not change the value because 9.04 = 9.040.

9.04 rounds to 9

17.381 rounds to 17

The sum should be close to 26. Since 26.421 is close, it is a reasonable answer.

6. Solve 20.3 + 13.67 + 0.998 = \; ?

Zeros can be added to 20.3 and 13.67 as placeholders. It does not change the value because 20.3 = 20.300 and 13.67 = 13.670.

20.3 rounds to 20

13.67 rounds to 14

0.998 rounds to 1

The sum should be close to 35. Since 34.968 is close, it is a reasonable answer.

Adding decimals FAQs

Yes, you follow the same steps to subtract decimals. The only difference is that you subtract each place value position instead of adding.

No, these strategies will also work when adding whole numbers and numbers with decimals.

Following the Common Core recommendations, in 5th grade, students should work with tenths place, hundredths place and thousandths place. In 6th grade this is expanded to smaller numbers. Check your state’s specific standards for further clarification.

The next lessons are

• Algebraic expression
• Math equations
• Converting fractions, decimals, and percentages

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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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Decimals Addition & Subtraction for Grade 5

Add and subtract decimals up to 3 digits.

Our grade 5 addition and subtraction of decimals worksheets provide practice exercises in adding and subtracting numbers with up to 3 decimal digits .

Sample Grade 5 Decimal Subtraction Worksheet

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Find all of our decimals worksheets , from converting fractions to decimals to long division of multi-digit decimal numbers.

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Fun teaching resources & tips to help you teach math with confidence

{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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