problem solving involving 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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How to Perform Operations of Decimals: Word Problems

Greetings, budding mathematicians! Today, we're going to jump into an adventure with decimals. Working with decimals is a fundamental math skill that you'll use in many aspects of life, from managing money to measuring distances.

Introduction to Decimal Operations

First things first, let’s talk about decimals. A decimal is a way of representing a number that’s less than one, or a number that’s a whole and a fraction together. When you work with decimals, the same rules apply as when you’re working with whole numbers, but the decimal point plays a crucial role.

There are four major operations that you can perform on decimals:

• Subtraction
• Multiplication

Now, let’s tackle some word problems involving decimal operations.

Step-By-Step Guide to Solving Word Problems with Decimal Operations

Step 1: understand the problem.

First and foremost, carefully read through the problem. Identify what you know and what you need to find out.

Step 2: Plan the Solution

Next, decide which operation (addition, subtraction, multiplication, or division) will help you solve the problem. This will depend on what the problem is asking.

Step 3: Carry Out the Operation

Perform the operation on the decimals. Remember to align the decimal points when you’re adding or subtracting, and apply the rules for multiplication and division of decimals correctly.

Step 4: Check the Answer

Finally, check if your answer makes sense in the context of the problem.

Consider this problem: Laura bought \(2.3\) kilograms of apples and \(1.5\) kilograms of grapes. How many kilograms of fruit did she buy in total?

Step 1: Understand that you know the weight of apples and grapes separately, and you need to find the total weight.

Step 2: Realize that to find the total, you need to add the weights together.

Step 3: Add the weights: \(2.3\ kg + 1.5\ kg = 3.8\ kg\).

Step 4: Check that the answer makes sense. Laura bought \(2.3\ kg\) of apples and \(1.5\ kg\) of grapes, so it makes sense that she bought \(3.8\ kg\) in total.

Keep practicing with different word problems, and you’ll get the hang of decimal operations in no time. Remember, the more you practice, the better you’ll get. Happy calculating!

by: Effortless Math Team about 1 year ago (category: Articles )

Effortless Math Team

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Mastering Grade 6 Math Word Problems The Ultimate Guide to Tackling 6th Grade Math Word Problems

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Easy ways of solving decimal word problems.

Get a daily decimal word problems practice and learn how to apply operations with decimals to solve real world problems.

This set of word problems involving decimals are perfect for your kid’s quick understanding when to add, subtract, multiply and divide decimals in real life. As such, we have provided a mixture of problems involving all order of operations.

One admirable thing here is our fun strategies with easy ways of solving decimal word problems . In addition to this, these decimal problems are formulated in simple language, with steps and tools that will help kids to read word problems effectively and boost their confidence.

• Fourth Grade
• Adding 3 or more decimals word problems grade 4
• Adding and subtracting decimals word problems

What are key steps to consider when solving decimal word problems?

Provided here are simple key steps to consider when solving decimal word problems .

First of all, reading to have a full mastery is a perfect step towards perfect solving word problems involving decimals .

Next, underline key words and write down important information presented in the problem.

At this level, you can now choose a method of solving, i.e. are you adding, subtracting, multiplying, dividing or comparing decimals

Finally, you can now solve the problem with your chosen method and of course at the end of the day, check to find out if your answer makes sense.

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Word Problems Involving Decimals

When you get a word problem that involves adding or subtracting decimals , it's usually a good idea to rewrite all the numbers with the same number of decimal places, so you don't get confused.

Joey, Keith, and Eli have a combined height of 7 meters. If Joey is 2.31 meters tall and Eli is 2.6 meters tall, how tall is Keith?

First, rewrite all the numbers with the same number of decimal places.

Joey, Keith, and Eli have a combined height of 7.00 meters. If Joey is 2.31 meters tall and Eli is 2.60 meters tall, how tall is Keith? 

Now write the equation.

2.31 + 2.60 + k = 7.00 where k is the height of Keith in meters.

Combine like terms.

4.91 + k = 7.00

Subtract 4.91 from each side.

Therefore, Keith is 2.09 meters tall.

This rewriting with the same number of digits may not be so important if the problem requires you to multiply decimals or divide them. But in any case, you should check your answer at the end to make sure it makes sense. A small mistake can cause your answer to be off by a factor of ten or one hundred... or worse!

James works at an Indian sweet shop. He needs to fill boxes with 0.3 kilograms of coconut barfi each. If he has 8 kilograms of coconut barfi, how many boxes can he fill?

This is a division problem: we need to find how many times 0.3 kilograms goes into 8 kilograms.

8 ÷ 0.3 = 26. 6 ¯

Since the question asks for the number of boxes he can fill , the decimal part of the answer can be ignored. James can fill 26 boxes, with a little bit of barfi left over.

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Decimals word problems

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Decimal Word Problem Worksheets

Decimal word problems are mathematical exercises or questions that involve the use of decimal numbers to solve real-world scenarios or situations. These problems require students to apply their understanding of decimals and mathematical operations to find solutions. They are a common component of math curricula and serve as an essential tool for reinforcing and enhancing math skills.

Decimal word problems come in various forms, covering a wide range of topics such as money, measurements, percentages, and more. For example, a typical decimal word problem might involve calculating the total cost of items when prices are expressed in decimal form or finding the percentage increase or decrease in a quantity over time. These problems provide a practical context for applying decimal arithmetic in everyday situations, making math more relatable and applicable to students’ lives.

One of the primary benefits of working on decimal word problems is their ability to improve math skills. First and foremost, they require students to have a solid understanding of decimal numbers, including place value and the four fundamental operations: addition, subtraction, multiplication, and division. By solving these problems, students reinforce their grasp of these essential mathematical concepts.

This worksheet is a set of mathematical word problems designed to practice operations with decimal numbers. The problems cover various everyday scenarios that involve adding, subtracting, multiplying, and dividing decimals, such as shopping, dividing slices of pizza, and calculating distances. Each problem requires the student to read the situation, understand the question being asked, and apply their knowledge of decimals to find the solution.

The worksheet aims to teach students practical applications of decimal arithmetic in real-world situations. It encourages the development of problem-solving skills by requiring students to interpret textual information and convert it into mathematical equations. Additionally, the worksheet helps students to improve their numerical fluency with decimals and understand the importance of precision in everyday calculations.

This worksheet is a collection of word problems centered around decimal calculations, presenting a second series of exercises that build upon foundational skills with decimals. The problems are structured in a multiple-choice format, offering various scenarios that involve financial transactions, measurements of liquids, and counts of objects to challenge the student’s understanding of decimals. Each question demands careful reading and the application of mathematical concepts to choose the correct answer from the provided options.

The worksheet is designed to reinforce students’ skills in working with decimals in more complex situations, often involving multi-step calculations. It aims to enhance critical thinking by requiring students to choose the most logical answer from a set of possibilities, thereby testing not only their computational skills but also their reasoning and elimination skills. Moreover, the variety of contexts in the problems helps students appreciate the broad applicability of decimals in everyday life, from managing money to measuring quantities.

This worksheet contains a series of word problems that focus on the application of decimals in various real-world contexts, such as shopping, traveling, cooking, and geometry. The problems increase in complexity and incorporate elements like percentage discounts, speed and time calculations, as well as area and perimeter computations. The format of the worksheet requires students to read, interpret the scenario, and perform the necessary decimal operations to arrive at the answer.

The objective of this worksheet is to deepen students’ understanding of decimal numbers by applying them to more advanced and diverse mathematical situations. It aims to build proficiency in converting word problems into mathematical expressions involving decimals and to solve these problems accurately. Additionally, it encourages the development of critical thinking skills as students must understand the context, extract relevant information, and determine the correct mathematical procedures to use in each unique problem.

How to Solve Decimal Word Problems

• Read the Problem Carefully: Begin by carefully reading the word problem to understand the context and what is being asked. Identify the key information, such as the values given and the unknowns.
• Define Variables: Assign variables to the unknown quantities. Typically, you will use letters like ‘x’ or ‘y’ to represent these unknowns.
• Translate Words into Math: Convert the information in the word problem into mathematical expressions or equations. Look for keywords that indicate mathematical operations (e.g., “add,” “subtract,” “multiply,” “divide,” “more than,” “less than”).
• Set Up Equations: Use the information you’ve gathered to set up one or more equations that represent the relationships in the problem. You may need to use addition, subtraction, multiplication, division, or a combination of these operations.
• Solve the Equations: Solve the equations to find the values of the unknowns. This may involve performing arithmetic operations on decimals.
• Check Your Solution: Ensure that your solution makes sense in the context of the problem. Does it answer the question asked in the word problem?
• Present Your Answer: Write down your final answer in a clear and concise manner, often including units if applicable.

Let’s illustrate these steps with two examples:

A store is having a sale, and a $50 item is now 20% off. What is the sale price?

Step 1: Read the problem carefully. We need to find the sale price of an item after a 20% discount.

Step 2: Define Variables. Let ‘x’ represent the sale price.

Step 3: Translate Words into Math. We know that a 20% discount means we pay 80% of the original price. So, we can write this as an equation: 80% of $50 is equal to ‘x.’

Step 4: Set Up Equations. Convert the percentage to a decimal (80% = 0.80) and set up the equation: 0.80 * $50 = x.

Step 5: Solve the Equations. Calculate: 0.80 * $50 = $40.

Step 6: Check Your Solution. The sale price is $40, which makes sense in the context of the problem.

Step 7: Present Your Answer. The sale price is $40.

A recipe calls for 2/3 cup of sugar. If you want to make 1.5 times the recipe, how much sugar do you need?

Step 1: Read the problem carefully. We need to find the amount of sugar needed for 1.5 times the recipe.

Step 2: Define Variables. Let ‘x’ represent the amount of sugar needed.

Step 3: Translate Words into Math. The problem asks for 1.5 times the original amount of sugar, so we need to multiply the original amount by 1.5.

Step 4: Set Up Equations. Write the equation: (2/3) * 1.5 = x.

Step 5: Solve the Equations. Calculate: (2/3) * 1.5 = 1.0. So, you need 1.0 cups of sugar.

Step 6: Check Your Solution. Using 1.0 cups of sugar for 1.5 times the recipe is reasonable.

Step 7: Present Your Answer. You need 1.0 cups of sugar.

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Decimals word problems

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. 

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Worksheet on Decimal Word Problems

Solve the questions given in the worksheet on decimal word problems at your own space. This worksheet provides a mixture of questions on decimals involving order of operations i.e., addition, subtraction, multiplication and division.

1.  Aaron scored 452.65 marks out of 600 in the final examination. How many marks did he lose?

2.  Amy had 0.87 litre of cold drink.  Flora  had 0.92 litres more cold drink. How much cold drink did Manu have?

3.  The weight of a baby elephant was 218.99 kg. After two years, his weight increased by 109.85 kg. Find the weight of elephant after two years.

4.   Kathi  had a rope of 63.45 m. She cut the rope into two pieces. If the length of one piece was 23.59 m, what was the length of the other piece?

5.  Each side of a regular polygon is 5.2 m and its perimeter is 36.4 m. Find the number of sides of the polygon.

6. Trisha took 3.25 minutes to complete the race and Rachel took 3.207 minutes to complete the race. Who won the race?

7. The annual rainfall received by Arunachal Pradesh is 278.2 cm and that by Assam is 281.8 cm. Who received less rainfall?

8. Sharon’s height is 145.62 cm. She stands on a tool of height 10.50 cm. What is the combined height now?

9. The milkman delivers 5.02 liter of milk to a house in the morning and 2.120 liter in the evening. What is the total quantity of milk delivered by the milkman?

10. Rebecca ‘s kite is flying at a height of 17.2 m and Shelly’s at a height of 21.5 m from the ground. Whose kite is flying high and by how much?

11. A car travels 367.80 km in 6 hours. How much distance will it travel in 1 hour?

12. Ron jogged 2.2 km, Mike jogged 3.7 times more distance than Ron. Find the distance covered by Mike.

13. The daily consumption of milk in a house is 3.25 litres. How much milk will be consumed in 30 days?

14. A tin contains 18.5 litre of oil. How many such tin contain 129.5 litre of oil?

15. Find the cost of 47.2 m cloth if the cost of 1 m cloth is $33.90.

16. Shruti bought a bag for $298.05. She gave the shopkeeper 2 notes of $200. How much money will she get back?

17. A tailor needs 35.25 m of cloth for the shirts and 45.80 m for trousers. How much cloth does the tailor need in all?

18. A spool of thread has a thread measuring 86.50 m. If 42.33 m thread has been cut, what length of thread is still left in the spool?

19. The cost of a chair is $2045.83. Tania wants to buy 6 chairs for her house. How much money will she pay to the shopkeeper?

20. David has a jug full of milk. He pours the complete milk in 4 glasses, each glass of capacity 0.8 l. How much milk was there in the jug?

21. Find the area of a square whose side is 3.60 m.

22. The weight of 1 bag of sugar is 12.5 kg. What is the weight of 15 such bags?

23. A vehicle covers a distance of 48.3 km in 2.3 litre of petrol. How much distance will it cover in 1 litre of petrol?

24. Ron has 3.60 l of juice. He pours it into 9 glasses equally. How much juice is there in each glass?

25. Shelly has a ribbon of length 35.14 m. She cuts it into 7 equal parts. What is the length of each equal part?

26. The cost of 5 pens is $140.50. What is the cost of 1 pen?

27. The weight of a box is 150.094 kg. What will be the weight of 27 such boxes?

28. Sonia has 14.84 l of juice. She pours it into 7 jars equally. How much juice is there in each jar?

Answers for the   worksheet on decimal word problems  are given below to check the exact answer of the above problems.

1.  147.35 marks

2.  1.79 litres

3.  328.84 kg

4.  39.86 m

5.  7 sides

6.  Rachel

7.  Arunachal Pradesh

8.  156.12

9.  7.145 liter

10.  Shelly, 4.3 m

11.  61.3 km

12.  8.14 km

13.  97.5 litres

14.  7 tin

15.  $1600.08

16.  $101.95

17.  81.05 m

18.  44.17 m

19.  $12,274.98

20.  3.2 l

21.  12.96 m 2 

22.  187.5 kg

23.  21 km

24.  0.4 l

25.  5.02 m

26.  $28.10

27.  4052.538 kg

28.  2.12 l

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Decimal Word Problems Worksheets

Decimal word problem worksheets help students gain a clear understanding of decimals and word problems based on them. The decimal number system is a standardized number system that denotes any integer or non-integer value. This math topic has great significance in many real-life applications like calculating money, weight, length, and many more. By solving the problems available in these worksheets, students will attain step by step understanding and clarity on how to solve decimal word problems.

Benefits of Decimal Word Problems Worksheets

Decimal word problem worksheets provide a comprehensive and precise understanding of decimal word problems. These worksheets offer a wide variety of questions geared towards improving a child's conceptual fluency on decimals.

These worksheets are well-curated to help students gradually solve the rising difficulty level of questions. The primary purpose of these worksheets is to promote a problem-solving mindset in students.

Download Decimal Word Problems Worksheet PDFs

These math worksheets should be practiced regularly and are free to download in PDF formats.

☛ Check Grade wise Decimal Worksheets

• 4th Grade Decimals worksheets
• Decimals worksheets for Grade 5

Real-life problems, working with decimals

Common Core Standards: Grade 4 Measurement & Data , Grade 4 Number & Operations in Base Ten , Grade 5 Number & Operations in Base Ten

CCSS.Math.Content.4.MD.A.2, CCSS.Math.Content.4.NBT.B.5, CCSS.Math.Content.5.NBT.B.7

This worksheet originally published in Math Made Easy for 5th Grade by © Dorling Kindersley Limited .

Related worksheets

Real-life problems, working with decimals #2, real-life problems: money, adding decimals, 5th grade, subtracting decimals.

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• Math Article
• Decimals Word Problems

Word Problems on Decimal Fractions

A fraction represents a part of whole.

For example, it tells how many slices of a pizza left or eaten with respect to the whole pizza like, one-half, three-quarters.

Generally, a fraction has two parts i.e. the numerator and the denominator. A decimal fraction is a fraction where its denominator is a power of 10 i.e. 101,102, 103 etc.

For example 32/10,56/100,325/1000. It can be expressed as a decimal like 32/10=3.2,56/100=0.56.

We can perform all arithmetic operations on fractions by expressing them as a decimal. Let’s practice some word problems on decimal fractions by using various arithmetical operations.

Example 1: A barrel has 56.32 liters capacity. If Supriya  used 21.19 liters how much water is left in the barrel.

Solution: Given,

Capacity of the barrel = 56.32 liters

Amount of water used= 21.19 liters

Amount of water left in the barrel = 56.32 – 21.19 = 35.13 liters

Example 2: Megha bought 12 bags of wheat flour each weighing 4563/100  kg. What will be the total weight?

Solution:   Total no. of bags = 12

Weight of each bag =  4563/100 kg = 45.63 kg

Total weight =45.63 x 12=547.56 kg

Example 3: If circumference of a circle is 16.09 cm. What will be its diameter(π=3.14)?

Solution: Given, circumference = 16.09 cm

Circumference of a circle, C=2πr

\(\begin{array}{l}\Rightarrow 16.09 = 2 \pi r\end{array} \)

\(\begin{array}{l}\Rightarrow 16.09 = 2 \times 3.14 \times r\end{array} \)

\(\begin{array}{l}\Rightarrow r = \frac{16.09 \times 100}{6.28 \times 100}\end{array} \)

\(\begin{array}{l}\Rightarrow r = 2.56 \end{array} \) cm

Therefore Diameter = 2r = 2 x 2.56 = 5.12 cm.

Example 4: If the product of 38.46 and another number is 658.17, what is the other number?

One number = 38.46

Product of two numbers = 658.17

The other number = 658.17÷38.46

= \(\begin{array}{l}\frac{658.17}{100}\div \frac{38.46}{100}\end{array} \)

Example 5: Rakesh bought a new.  He went on a road trip of 165.9 km on bike. After a week he went for another trip of 102.04 km. What will be the reading on meter reader of the bike?

Distance travelled on first trip = 165.9 km

Distance travelled on second trip = 102.04km

Total distance travelled = 165.9 + 102.04 = 267.94 km

To solve more problems on the topic, download Byju’s – The Learning App from Google Play Store and watch interactive videos. Also, take free tests to practice for exams. To study about other topics, visit www.byjus.com and browse among thousands of interesting articles.

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Decimal Word Problems

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