28.5 28.5 28.5
+ 34.5
.0
Answer: The sum of 28.5 and 34.5 is 63.
Example 5: Add: 3.986 + 37 + 25.902
3.986 3.986 3.986 37.000 37.000 37.000 .888 |
Answer: The sum of 28.5 and 34.5 is 66.888.
Example 6: Add: $12.95 + $67.89 + $54.55
|
Answer: The sum of $12.95 and $67.89 and $54.55 is $135.39.
5.8794 5.8794 5.8794 + 7.4800 .3594 |
Answer: The sum of 5.8794 cm and 7.48 cm is 13.3594 cm.
Summary: When adding decimals, you must first line up all the decimal points in a column. Lining up the decimal points ensures that each digit is in the proper place-value position. You can then add digits in the same place-value position to find the sum.
Directions: Read each question below. You may use paper and pencil to help you add. Click once in an ANSWER BOX and type in your answer; then click ENTER. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR.
RESULTS BOX: |
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.
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:
Now, let’s tackle some word problems involving 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.
Next, decide which operation (addition, subtraction, multiplication, or division) will help you solve the problem. This will depend on what the problem is asking.
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.
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 )
Related to this article, more math articles.
No one replied yet.
You must be logged in to post a comment.
Mastering grade 5 math word problems the ultimate guide to tackling 5th grade math word problems, mastering grade 7 math word problems the ultimate guide to tackling 7th grade math word problems, mastering grade 2 math word problems the ultimate guide to tackling 2nd grade math word problems, mastering grade 8 math word problems the ultimate guide to tackling 8th grade math word problems, mastering grade 4 math word problems the ultimate guide to tackling 4th grade math word problems, mastering grade 3 math word problems the ultimate guide to tackling 3rd grade math word problems.
Limited time only!
Save Over 45 %
It was $89.99 now it is $49.99
Effortless Math services are waiting for you. login faster!
Password will be generated automatically and sent to your email.
After registration you can change your password if you want.
Effortless Math provides unofficial test prep products for a variety of tests and exams. All trademarks are property of their respective trademark owners.
Nys common core grade 4 module 6, lesson 14.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.
High Impact Tutoring Built By Math Experts
Personalized standards-aligned one-on-one math tutoring for schools and districts
In order to access this I need to be confident with:
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.
Adding decimals is when you add numbers involving decimals.
Let’s look at the strategies for adding decimals.
Just like with multi-digit whole numbers, combine each place value. Then write the answer in standard form: |
1. Stack the numbers, lining up the decimal |
How does this relate to 5th grade math and 6th grade math?
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.
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!
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.
Solve 1.12 + 2.3 = \; ?
1 one + \; 2 ones = \; 3 ones
1 tenth + \; 3 tenths = \; 4 tenths
2 hundredths
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.
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.
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.
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.
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.
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.
At Third Space Learning, we specialize in helping teachers and school leaders to provide personalized math support for more of their students through high-quality, online one-on-one math tutoring delivered by subject experts.
Each week, our tutors support thousands of students who are at risk of not meeting their grade-level expectations, and help accelerate their progress and boost their confidence.
Find out how we can help your students achieve success with our math tutoring programs .
Prepare for math tests in your state with these 3rd Grade to 8th Grade practice assessments for Common Core and state equivalents.
Get your 6 multiple choice practice tests with detailed answers to support test prep, created by US math teachers for US math teachers!
Adding decimals is easy when you keep your work neat
To add decimals, follow these steps:
Line up the decimal points: | 1.452 | ||
+ | 1.3 | ||
"Pad" with zeros: | 1.452 | ||
+ | 1.300 | ||
Add: | 1.452 | ||
+ | 1.300 | ||
2.752 |
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.
To subtract, follow the same method: line up the decimal points, then subtract .
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:
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.
Why can we put in extra zeros?
A zero is really saying "there is no value at this decimal place".
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.
Switch to our new maths teaching resources.
Slide decks, worksheets, quizzes and lesson planning guidance designed for your classroom.
Play new resources video
Key learning points.
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.
6 questions.
Unit maths / calculating with whole numbers and decimals.
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:
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.
You must be logged in to post a comment.
Click here for questions, click here for answers.
addition, subtraction, subtracting
Privacy Policy
Terms and Conditions
Corbettmaths © 2012 – 2024
Search Functionality Update!
To optimize your search experience, please refresh the page.
Windows: Press Ctrl + F5
Mac: Use Command + Shift+ R or Command + Option + R
Mobile: Tap and hold the refresh icon, then select "Hard Refresh" or "Reload Without Cache" for an instant upgrade!
Browse By Grade
Start afresh with our pdf worksheets on decimal addition word problems and figure how decimals reverberate through our day-to-day life. The word problems here will kindle the children's imagination and help them ease into performing decimal addition. Read each situation, get your head around it, and add the decimals. These practice resources boast a range of word problems involving time, money, measurements, etc., so the aspiring learners warm up to the several life applications of decimals. Our word problems on decimal addition worksheets are available in customary and metric units. Here's wishing you success and better real-life decimal addition skills! Begin right with our free worksheet.
We suggest these printable worksheets for the grade 4, grade 5, and grade 6 children.
Related Printable Worksheets
▶ Adding Decimals in Tenths
▶ Adding Decimals in Hundredths
What we offer, information.
Copyright © 2024 - Tutoringhour
You must be a member to unlock this feature!
Sign up now for only $29.95/year — that's just 8 cents a day!
Printable Worksheets
Digitally Fillable Worksheets
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.
1. | |
2. | |
3. | |
4. | |
5. |
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.
While adding decimals, we need to remember some rules that would be helpful and make the addition easier.
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.
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
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 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 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.
Thus, the sum of the numbers 14.62 + 12.63 is 27.25
Tips and Tricks for Adding Decimals
☛Related Articles
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.
go to slide go to slide go to slide
Book a Free Trial Class
go to slide go to slide
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.
For adding decimals, we need to remember the following rules that would make the process of addition easier.
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
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
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 .
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
There are some basic steps that are used for adding decimals.
Adding decimals is similar to subtracting decimals because some common rules are followed in both the operations.
Decimal number, decimals in real life, steps to add decimals, solved examples, practice problems, frequently asked questions.
In day-to-day life, we need to find the sum or total or find the differences in values. The values of length, weight, money, etc., are not always written in the whole numbers, the values are in decimals also. We use decimal addition and subtraction in everyday life when dealing with:
For that, we need to understand how to add and subtract decimals. Decimals can be added or subtracted the same way we add or subtract whole numbers.
More Worksheets
Step 1: Convert decimals to like decimals.
Decimals that have the same number of digits after the decimal point are called like decimals. 3.42, 2.89, 5.14 are all like decimals because they all have 2 digits after the decimal point.
To make decimals like, we can add zeros on the right of extreme right digits in the decimal part of a number as that does not alter the value.
For example, 3.4 is the same as 3.40, which is also the same as 3.400.
Step 2: Write the decimals one below the other as per the places of the digits.
Step 3: Add starting from the rightmost digit and moving toward the leftmost digit.
Step 4: Place the decimal point under the decimal point in the answer.
Let us use the above steps to solve the following.
Add 23.45, 13.101, and 345.5
Step 1. Convert to like decimals.
The maximum digits after the decimal place are 3, so we add zeros in other numbers to get 3 decimal places in all of them.
13.101
23.45 = 23.450
345.5 = 345.500
Step 2. Line up the decimals.
2 | 3 | . | 4 | 5 | 0 | |
1 | 3 | . | 1 | 0 | 1 | |
3 | 4 | 5 | . | 5 | 0 | 0 |
Step 3. Add:
2 | 3 | . | 4 | 5 | 0 | ||
+ | 1 | 3 | . | 1 | 0 | 1 | |
+ | 3 | 4 | 5 | . | 5 | 0 | 0 |
3 | 8 | 2 | 0 | 5 | 1 |
Step 4. Place the decimal point in the answer.
2 | 3 | . | 4 | 5 | 0 | ||
+ | 1 | 3 | . | 1 | 0 | 1 | |
+ | 3 | 4 | 5 | . | 5 | 0 | 0 |
3 | 8 | 2 | . | 0 | 5 | 1 |
Example: Sienna purchased three laces of length 45 m 50 cm, 23 m 83 cm and 16 m 5 cm. She joined them together to get lace of the greatest length. Find the length of the single string obtained.
To find the length of a single string, we need to add the lengths of all three laces.
45 m 50 cm = 45.50 m
23 m 83 cm = 23.83 m
16 m 5 cm = 16.05 m
The highest decimal place is 2. All the numbers have 2 decimal places, so they are already like decimals.
4 | 5 | . | 5 | 0 | |
2 | 3 | . | 8 | 3 | |
1 | 6 | . | 0 | 5 |
4 | 5 | . | 5 | 0 | |
+ | 2 | 3 | . | 8 | 3 |
+ | 1 | 6 | . | 0 | 5 |
8 | 5 | 3 | 8 |
4 | 5 | . | 5 | 0 | |
+ | 2 | 3 | . | 8 | 3 |
+ | 1 | 6 | . | 0 | 5 |
8 | 5 | . | 3 | 8 |
Once you know how to add decimals, subtracting them is quite similar. You must be wondering how is adding and subtracting decimals similar? Let’s look at the steps.
Step 1: Convert unlike decimals into like decimals.
Step 2 : Write the digits in their respective columns according to the place.
Step 3 : Put the decimal point one below the other so that all the decimal points are in the same vertical line.
Step 4 : Start subtracting from the rightmost digit and move toward the leftmost digit.
Step 5 : Place the decimal point under the decimal point in the answer.
Example 1. Subtract 12.856 from 54.2
1. Convert to like decimals : The highest decimal place is 3, so we add zeros in the other numbers and get 3 decimal places in that too.
12.856 and 54.2 = 54.200
2 . Line up the decimals .
5 | 4 | . | 2 | 0 | 0 | |
1 | 2 | . | 8 | 5 | 6 | |
3. Subtract the decimals.
5 | 4 | . | 2 | 0 | 0 | |
− | 1 | 2 | . | 8 | 5 | 6 |
4 | 1 | 3 | 4 | 4 |
4. Place the decimal point in the answer.
5 | 4 | . | 2 | 0 | 0 | |
− | 1 | 2 | . | 8 | 5 | 6 |
4 | 1 | . | 3 | 4 | 4 |
Example 2. Kylie had 25 m 10 cm of ribbon. She uses 8 m and 13 cm to decorate a skirt. How much ribbon is Kylie left with?
Length of ribbon Kylie had = 25 m 10 cm = 25.10
Length of ribbon used by Kylie = 8 m 13 cm = 8.13
The remaining length of ribbon = 25.10 – 8.13
= 16 m 97 cm
2 | 5 | . | 1 | 0 | |
− | 8 | . | 1 | 3 | |
1 | 6 | . | 9 | 7 |
To add or subtract a decimal with a whole number, change the whole number into a decimal number. A whole number can be changed to a decimal number by placing a decimal point after the whole number and writing the required number of zeros after the decimal point.
For example, the whole number 2 can be written as 2.0 or 2.00 or 2.000 and so on.
Similarly, 6 = 6.0 = 6.00 = 6.000 = 6.000 and so on.
Now follow the steps of addition and subtraction of decimals.
Example: Add 4 + 5.93 + 7
The highest decimal place is 2, so let’s rewrite all numbers as decimal numbers with 2 decimal places to make them like decimals.
4 | . | 0 | 0 | |
5 | . | 9 | 3 | |
7 | . | 0 | 0 | |
4 | . | 0 | 0 | |
+ | 5 | . | 9 | 3 |
+ | 7 | . | 0 | 0 |
1 | 6 | 9 | 3 |
4 | . | 0 | 0 | |
+ | 5 | . | 9 | 3 |
+ | 7 | . | 0 | 0 |
1 | 6 | . | 9 | 3 |
Example: Subtract 19.523 from 21.
19.523 has 3 decimal places, so let’s rewrite 21 = 21.000
2 | 1 | . | 0 | 0 | 0 | |
1 | 9 | . | 5 | 2 | 3 | |
2 | 1 | . | 0 | 0 | 0 | |
− | 1 | 9 | . | 5 | 2 | 3 |
1 | 4 | 7 | 7 |
2 | 1 | . | 0 | 0 | 0 | |
− | 1 | 9 | . | 5 | 2 | 3 |
1 | . | 4 | 7 | 7 |
In 5th grade adding and subtracting decimals is done. 5th graders must practice adding and subtracting decimals word problems too along with simple decimal problems.
The word “decimal” originated in the early seventeenth century from the Latin word “decimus” which means “tenth”.We use decimals when we want precise and accurate answers. |
Example 1: Add 0.56, 12.356, and 152.3
The highest decimal place is 3, so let’s change all decimals to like decimals.
0.56 = 0.560
152.3 = 152.300
Line up the decimals and add and place the decimal in place.
0 | . | 5 | 6 | 0 | |||
+ | 1 | 2 | . | 3 | 5 | 6 | |
+ | 1 | 5 | 2 | . | 3 | 0 | 0 |
1 | 6 | 5 | . | 2 | 1 | 6 |
Example 2: Solve 920.45 – 222.339
The highest decimal place is 3, so let’s change 920.45 to 92.450.
Now let’s line up the decimals and subtract them.
9 | 2 | 0 | . | 4 | 5 | 0 | |
− | 2 | 2 | 2 | . | 3 | 3 | 9 |
6 | 9 | 8 | . | 1 | 1 | 1 |
Now let’s practice adding and subtracting decimals word problems.
Example 3: Siran bought two articles worth $120.45 and $450.85. She paid $700 to the shopkeeper. How much money will she get back from the shopkeeper?
Total cost of article = $120.45 + $450.85 = $571.30
1 | 2 | 0 | . | 4 | 5 | |
+ | 4 | 5 | 0 | . | 8 | 5 |
5 | 7 | 1 | . | 3 | 0 |
Money returned by shopkeeper = $700 – $571.30 = $128.70
7 | 0 | 0 | . | 0 | 0 | |
– | 5 | 7 | 1 | . | 3 | 0 |
1 | 2 | 8 | . | 7 | 0 |
So, Siran will get back $128.70 from the shopkeeper.
Attend this quiz & Test your knowledge.
Which of the following shows the sum of 8 dollar 5 cents and 12 dollar 50 cents, the value of 4.5 + 0.999 – 2.86 is equal to, ryan needs $\$450$ to buy his favourite game. he has 150 dollars and 5 cents left from his pocket money. how much money does he still need.
What is important to remember while adding or subtracting decimals?
Writing the decimal in columns with the decimal points directly below each other.
Give examples of real-life applications of adding or subtracting decimals.
Can we multiply and divide two decimals?
Yes, apart from addition and subtraction, we can perform multiplication and division operations on decimals too.
Is it compulsory to change the decimals to like decimals for addition and subtraction?
No, changing decimals to like decimals makes it easier to place the digits and decimal points in columns correctly.
Kids see fun., you see real learning outcomes..
Make study-time fun with 14,000+ games & activities, 450+ lesson plans, and more—free forever.
Parents, Try for Free Teachers, Use for Free
Reading & Math for K-5
Breadcrumbs
Download & Print Only $2.00
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 .
1.3 + 7.5 = ___ | |
(missing addend) | 1.3 + ___ = 8.8 |
0.5 + 0.35 = ___ | |
0.52 + 0.315 = ____ | |
(missing addend) | 0.5 + ___ = 0.85 |
(missing addend, harder) | ___ + 2.74 = 4.14 |
32.585 | |
2.7 − 0.1 = ____ | |
(missing numbers) | 6.5 - ___ = 5.5 |
___ - 1.49 = 5.61 | |
2 − 0.25 = ___ | |
98.8 | |
$98.80 |
Sample Grade 5 Decimal Subtraction Worksheet
Find all of our decimals worksheets , from converting fractions to decimals to long division of multi-digit decimal numbers.
What is K5?
K5 Learning offers free worksheets , flashcards and inexpensive workbooks for kids in kindergarten to grade 5. Become a member to access additional content and skip ads.
Our members helped us give away millions of worksheets last year.
We provide free educational materials to parents and teachers in over 100 countries. If you can, please consider purchasing a membership ($24/year) to support our efforts.
Members skip ads and access exclusive features.
Learn about member benefits
This content is available to members only.
Join K5 to save time, skip ads and access more content. Learn More
IMAGES
VIDEO
COMMENTS
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.
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 ...
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.
To add decimals step by step: Write the numbers in a column with the decimal points aligned. Add zeroes as needed so the numbers are the same length. Add or subtract from right to left. Write the ...
Adding Decimals Lesson. Example 1: Add: 52.3 + 973.41 Analysis: Let's use our knowledge of mixed numbers to help us analyze this problem. 52.3 = and 973.41= Recall that a decimal number can have a whole-number part and a fractional part. When adding decimals, you must first line up all the decimal points in a column.Lining up the decimal points ensures that each digit is in the proper place ...
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. Example: Consider this problem: Laura bought \(2.3\) kilograms of apples and \(1.5\) kilograms of ...
Word Problems With Decimals. Solve word problems involving addition, subtraction, multiplication and division of decimal numbers. Examples: Matt deposits a check for $234.95 into his checking account. He now has a total of $1,479.87 in the account. How much was the account before the deposit?
Examples, solutions, and videos to help Grade 4 students learn how to solve word problems involving the addition of measurements in decimal form. Topic D: Addition with Tenths and Hundredths Common Core Standards: 4.NF.5, 4.NF.6, 4.NF.3c, 4.MD.1 NYS Common Core Grade 4 Module 6, Lesson 14 Worksheets for Grade 4 Lesson 14 Concept Development ...
In the second example, we will solve a word problem with decimal quantities using subtraction. Example Problem 1- Solving Word Problems Involving Adding Decimal Values Blane collected 4.2 ...
Follow us. Improve your math knowledge with free questions in "Add and subtract decimals: word problems" and thousands of other math skills.
Let's look at the strategies for adding decimals. Just like with multi-digit whole numbers, combine each place value. 1. Stack the numbers, lining up the decimal. points (and place value). 2. Add each column from right to left and. regroup the numbers when necessary. 3.
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
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 ...
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.
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.
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.
You can use these operations to solve real-world problems involving decimals, especially those with money. This page titled 3.2.1: Adding and Subtracting Decimals is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by The NROC Project via source content that was edited to the style and standards of the LibreTexts ...
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.
The word problems here will kindle the children's imagination and help them ease into performing decimal addition. Read each situation, get your head around it, and add the decimals. These practice resources boast a range of word problems involving time, money, measurements, etc., so the aspiring learners warm up to the several life ...
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.
For example, 3.4 is the same as 3.40, which is also the same as 3.400. Step 2: Write the decimals one below the other as per the places of the digits. Step 3: Add starting from the rightmost digit and moving toward the leftmost digit. Step 4: Place the decimal point under the decimal point in the answer.
K5 Learning offers free worksheets, flashcards and inexpensive workbooks for kids in kindergarten to grade 5. Become a member to access additional content and skip ads. 5th grade adding and subtracting decimals worksheets, including adding 1 and 2 decimal digits, adding decimals in columns, subtracting 1 and 2 decimal digit numbers and ...
If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.