problem solving about addition and subtraction of decimals

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• Addition And Subtraction In Decimals

Addition and Subtraction of Decimals

Addition and subtraction of decimals  are a bit complex as compared to performing the operations on natural numbers. Before we learn how to add or subtract any two or more than two given decimals, first, let us understand decimals. The decimal number is used to represent a number with greater precision than integers or whole numbers. It uses a dot in between numbers, which is said to be a decimal point. Decimals are nothing but the simplified version of fractions. Check problems based on  decimal fractions  here.

For example, when we have to divide three pies among 4 kids, we cannot represent the pies received by each kid in terms of integers alone, as each kid has received pies that lie between 0 and 1. To deal with other similar problems, the concept of decimal was introduced. Thus, the idea of addition, multiplication, division and subtraction of decimals is an important topic. Let us say two friends are contributing to buy a cricket ball that costs Rs. 20. One of them has Rs. 7.50, and the other has Rs. 18.50. To know how much money each will have to contribute and how much they will be left with, they must understand the concept of addition and subtraction of decimals.

Addition of Decimals

As we know numbers can be added, subtracted, multiplied and divided. However, all these type of operations can be easily performed on natural numbers. In case of decimals, addition can be done in a specific way. The addition of decimals involves several steps. 

How to Add Decimals?

Addition of decimals is performed using 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. 

For example, while adding 3.456 to 7.1, since the number 3.456 has the number of digits after the decimal, the padding is done according to 3.456. Since 3.456 has 3 digits after the decimal, we pad two zeros after 1. So, 7.1 to three places is 7.100.

Step 2: The numbers are lined up vertically along with each other as given in the below figure.

Step 3: Finally, add the decimal numbers similar to integers and place the decimal point accordingly.

Let us understand the concept more clearly with the help of the following examples:

Also, read:

Examples of Decimal Addition

Let us see some examples of adding decimals.

Example 1: Addition 1.091 + 1.33.

Example 2: Addition 0.0075 + 5.

Example 3: Add 9.1, 3.22, and 0.66.

Given, 9.1, 3.22 and 0.66.

As we can see, 9.1 has only one digit after the decimal but 3.22 and 0.66 have two digits.

Hence, we can write 9.1 as 9.10

Now add all the three decimals.

——–

——

Click here to know about multiplying decimals .

Subtraction of decimals

Subtraction of decimals involves the subtraction of the decimal number with a small whole number part from the decimal number with a greater whole number part. However, we need to follow certain rules while performing the subtraction on decimals.

How to Subtract Decimals?

Subtraction of decimals is performed using the following steps:

For example, while subtracting 3.456 from 7.1, since the number 3.456 has more digits after the decimal, the padding is done according to 3.456. Since 3.456 has 3 digits after the decimal, we pad 7.1 to three places as 7.100.

Step 2: The numbers are lined up vertically along with each other as shown below.

Step 3: Finally, subtract the decimal numbers similar to integers and place the decimal point accordingly.

Examples on Decimal Subtraction

Example 1: Subtraction: 7.304 – 1.15

Example 2: Subtraction 4.1 – 0.94

Practice Questions

Try solving the following practice problems to get a thorough understanding of the addition and subtraction of decimal numbers.

• Add the decimals: 84.956 and 210.28163.
• Subtract 54.12 from 64.2.
• Subtract 72.3261 from 80.

Frequently Asked Questions – FAQs

What is addition and subtraction of decimals, how to do the addition of decimals, how to do subtraction of decimals, how do you line up decimal numbers in addition and subtraction, how to subtract a decimal number from a whole number.

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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.

Adding/Subtracting Decimals Practice Questions

Click here for questions, click here for answers.

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Unit 12: Add and subtract decimals

Adding decimals intro.

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Adding decimals (tenths and hundredths)

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Subtracting decimals (tenths and hundredths)

• Strategies for subtracting basic decimals (Opens a modal)
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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.

Do Read Similar Articles:

• 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. 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.

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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.

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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.

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Solving problems with decimals using addition and subtraction

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Lesson details

Key learning points.

• In this lesson, we will solve addition and subtraction problems with decimals and generate our own word problems to suit equations. We will develop our understanding of decimal problem-solving through bar models and a variety of real life contexts.

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

Starter quiz

6 questions.

Lesson appears in

Unit maths / calculating with whole numbers and decimals.

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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Level 1 - Adding and subtracting numbers up to ten with one decimal place

Level 2 - Adding and subtracting numbers less than one hundred with two decimal places

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Adding and Subtracting Decimals

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Decimal Word Problems (Two-Step)

Related Topics & Worksheets: Comparing Decimals Calculating Decimals One-Step Decimal Word Problems

Objective: I can solve two-step word problems involving addition and subtraction of decimals.

Solve the following word problems. Jasmine has a ribbon that is 12.6 metres long. Sharon has a ribbon that is 3.8 metres shorter. What is the total length of the two ribbons? m Jug A has 2.17 litres of water and Jug B has 0.79 litres less water than Jug A. Find the total volume of water in the two jugs. litres A coconut tree is 7.6 metres tall and a mango tree is 3.4 metres shorter than the coconut tree. Find the total height of the two trees. m Sack A contains 32.5 kg of potatoes and Sack B contains 3.7 kg more potatoes than Sack A. Find the total mass of potatoes in the two sacks. kg Rebecca saved $175.35 in June and $132.50 in July. Then she bought a bicycle for $195.80. How much of her savings from June and July was left? $ Tania’s mass was 46.9 kg and Eliza’s mass was 51.2 kg. Six months later, Tania gained 1.8 kg, but Eliza lost 2.1 kg. Find their new total mass. kg

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Adding in Parts

• Solve addition problems with whole numbers by adding in parts.
• Solve addition problems with decimnal numbers by adding in parts.
• Use equal addition strategies to insert numbers to balance addition equations.
• Use equal addition strategies to insert numbers and letter symbols to balance algebraic300

Adding with Decimal Fractions

Addition/subtraction strategies, back to the present.

divide numbers by 10

add decimal numbers

Buying Batteries

find fractions of money amounts

add money amounts

Comparing Chalk and Cheese

convert unlike units in order to add and subtract them

Compatible decimal fractions

Use compatible numbers to solve addition problems with decimal fractions (tenths) (Exercises 1-5) Use compatible numbers to solve subtraction problems with decimal fractions (tenths) (Exercise 6)

Cycling On...

find fractions of time

calculate average speed

interpret timetable

Dallying with Decimals

add and subtract decimals

Decimal Fraction Buddies

find decimal addition pairs

Decimal Fractions – Tenths

Solve addition and subtraction problems involving decimal tenths.

Equal Additions

Solve subtraction problems using equal additions

Expanding with Decimals

show understanding of decimal place value

Flying Home

use rounding to estimate a multiplication problem

finda percentage of a decimal number

Gentle Giants

order decimals to 3 decimal places

Going for Gold!

order decimals to 3 decimal places

add and subtract decimal numbers

Having fun with the vertical algorithm

How can two decimals so ugly make one so beautiful, jumping the number line – decimal fractions (hundredths).

Using jumping the number line strategy to add decimal fractions (tenths and hundredths).

Pipe music with decimals

• Place value for decimals
• Addition of decimals using place value

Pipe Music with Decimals

Identify and order decimals to three places.

Place Value Practice (Tenths and Hundredths)

• Write a decimal involving hundredths in expanded form, and vice versa.
• Shade decimal fractions.
• Identify digits in the hundredths column.
• Convert improper fractions involving hundredths to both a mixed number and a decimal.
• Add and subtract a hundredth from a number.
• Read a number line marked300

Riding the Waves

add decimals of one decimal place

Strategic Solving Part II

solve linear equations with decimal fractions use appropriate forms of the equation to solve for x.

Reading & Math for K-5

• Kindergarten
• Learning numbers
• Comparing numbers
• Place Value
• Roman numerals
• Subtraction
• Multiplication
• Order of operations
• Drills & practice
• Measurement
• Factoring & prime factors
• Proportions
• Shape & geometry
• Data & graphing
• Word problems
• Children's stories
• Leveled Stories
• Sentences & passages
• Context clues
• Cause & effect
• Compare & contrast
• Fact vs. fiction
• Fact vs. opinion
• Main idea & details
• Story elements
• Conclusions & inferences
• Sounds & phonics
• Words & vocabulary
• Reading comprehension
• Early writing
• Numbers & counting
• Simple math
• Social skills
• Other activities
• Dolch sight words
• Fry sight words
• Multiple meaning words
• Prefixes & suffixes
• Vocabulary cards
• Other parts of speech
• Punctuation
• Capitalization
• Narrative writing
• Opinion writing
• Informative writing
• Cursive alphabet
• Cursive letters
• Cursive letter joins
• Cursive words
• Cursive sentences
• Cursive passages
• Grammar & Writing

Breadcrumbs

• Decimals - add & subtract

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Grade 6 Decimals - Addition & Subtraction

Math worksheets: add and subtract decimals.

These grade 6 decimals worksheets provide practice in adding and subtracting decimals of varying lengths , a skill for which pencil and paper practice is critical to attain mastery.

Sample Grade 6 Decimal Subtraction Worksheet

More decimals worksheets

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

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