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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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Subtracting Decimals

Subtracting decimals is easy when you keep your work neat

To subtract decimals, follow these steps:

• Write down the two numbers, one under the other, with the decimal points lined up.
• Add zeros so the numbers have the same length
• Then subtract normally, remembering to put the decimal point in the answer

Example: Subtract 0.03 from 1.1

Answer: 1.07

That was just like 110 − 3 = 107, but with the decimal point in a different position

Example: Calculate 7.005-0.55

Answer: 6.455

And that was just like 7005 − 550 = 6455

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Add and subtract with the algorithm

Adding and subtracting decimals

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

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

What is adding and subtracting decimals?

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

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

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

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

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

See also: Adding and subtracting negative numbers

See also: Recurring decimals

Common Core State Standards

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

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

How to add and subtract decimals

In order to add or subtract decimals:

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

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

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

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

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

Adding and subtracting decimals examples

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

Calculate 12.3 + 4.5.

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

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

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

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

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

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

So 12.3 + 4.5 = 16.8.

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

Calculate 52 + 31.07.

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

So 52 + 31.07 = 83.07.

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

Calculate 6.7 + 9.31.

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

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

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

So 6.7 + 9.31 = 16.01.

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

Calculate 26.87-14.2.

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

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

So 26.87-14.2 = 12.67.

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

Calculate 16-9.4.

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

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

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

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

So 16-9.4 = 6.6.

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

Calculate 2.04-0.952.

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

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

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

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

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

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

We can now calculate 13-5.

So 2.04-0.952 = 1.088.

Teaching tips for adding and subtracting decimals

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

Easy mistakes to make

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

Related lessons on decimals

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

Practice adding and subtracting decimals questions

1. Solve 58.1 + 0.46.

2. Solve 41.3 + 38.

3. Solve 10.62 + 7.73.

4. Solve 16.9-3.3.

5. Solve 27-1.24.

6. Solve 7.11-6.84.

Adding and subtracting decimals word problems

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

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

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

9.74-9.58 = 0.16 seconds

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

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

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

Abi has \$2.30.

Bobby has \$1.25.

Cyrus has 9 cents.

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

Change is \$0.04 or 4 cents.

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

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

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

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

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

Adding and subtracting decimals FAQs

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

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

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

The next lessons are

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

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Subtracting Decimals Word Problems Worksheets

• Pre-Algebra >
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Be streets ahead of your peers with our free worksheets on subtracting decimals word problems, replete with realistic scenarios where decimal subtraction is center stage! Children are expected to read each problem and find the difference between the decimals. Chances are the budding mathematicians have already perfected the skill of subtracting decimals, so invite them to demonstrate their problem-solving skills in these printable tools and to impress by finding quick solutions to situations featuring weight, height, money, distance, and more. Our word problems on decimal subtraction are available in both customary and metric units.

We suggest these pdf worksheets for the 4th grade, 5th grade, and 6th grade students.

Related Printable Worksheets

▶ Subtracting Decimals with Tenths

▶ Subtracting Decimals with Hundredths

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Subtracting Decimals

Subtracting decimals means finding the difference between decimal numbers and other numbers. The other number can be a whole number, a decimal number, or a natural number. There are certain rules and steps that need to be kept in mind while subtracting decimals. On this page, we will learn more about subtracting decimals, their rules, along with examples.

What is Subtracting Decimals?

Subtracting decimals is similar to the usual subtraction of whole numbers. We just need to place the decimal numbers, one below the other, according to their place values along with the decimal point. In some cases the two given numbers are different. If needed, we change the given decimal fractions to like decimal fractions to make the subtraction easier. Two decimals are called like decimal fractions if they have an equal number of decimal places. For example, 0.23 and 0.65 are like decimals, whereas, 7.5 and 7.58 are unlike decimals. After the decimals are converted to like decimal fractions , by adding the required number of zeros, the two given numbers are subtracted in the same way as we subtract regular numbers.

For example, let us subtract the given numbers:

Example: Subtract: 0.56 - 0.42.

Since these are like decimals , we will place them in order and do the regular subtraction.

0.56 -0.42 0.14

Rules for Subtracting Decimals

There are certain rules and steps which should be remembered while subtracting decimals.

• Change the given decimal fractions to like decimals .
• Write the smaller number below the greater number in such a way that the digits are placed in the corresponding places and the decimal points are placed in the same vertical line.
• Then, subtract the numbers in the same way as in the case of whole numbers.
• After the subtraction, place the decimal point in line with the other decimal points.

Subtracting Decimals with Regrouping

Subtracting decimals with regrouping is the same as the regrouping that is done in whole numbers. The following steps explain the way to subtract decimals by regrouping.

• Step 1: After changing the numbers to like decimals , and placing the smaller number below the greater number, ensure that the decimal points are aligned and the digits are placed in the corresponding place value column.
• Step 2: Subtract the digits in each column individually, starting from the right and move to the left.
• Step 3: If the number in the upper row is smaller than the number in the lower row, we borrow 1 from the digit to the left and add 10 to the current digit. This step is known as regrouping.
• Step 4: Since 1 had been borrowed, this number is reduced by 1. Change the number accordingly and continue subtracting.

For example, let us subtract the given numbers.

Example: Subtract 0.84 from 0.93.

In the above numbers 0.93 and 0.84, the digit 3 is smaller than 4 in the hundredths column, so we need to borrow 1 from 9 to do the subtraction. We need to decrease 1 from 9 since it has given 1 to the number to its left. So, 9 will become 8, and 3 will become 13. Now we subtract 13 - 4 = 9 and 8 - 8 = 0 Finally, we place a decimal point in the answer to get 0.09

Subtracting Decimals with the Same Number of Decimal Places

Subtracting decimals with the same number of decimal places is simple. We just need to do the simple process of subtraction and then place the decimal points according to the given numbers.

For example, let us subtract 3.67 from 4.98

We can see that the numbers have the same decimal places. So, we will subtract them in a regular way.

4.98 -3.67 1.31

Subtracting Decimals with Different Decimal Places

When the numbers have different number of decimal places, they are termed as 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 these. Then, we add the required number of zeros to the smaller decimal number to make it to the same length as the other number. After this, we subtract the decimals numbers.

For example, let us subtract 7.483 from 237.8

We can see that both the numbers have different decimal places. Since 7.483 has 3 digits after the decimal, we will add two zeros to 237.8 to bring it to the same length. This will make it 237.800 after which we will subtract the numbers.

237.800 - 7.483 230.317

Subtracting Decimals Within 1

For subtracting decimals within 1, we follow the same procedure that we do in the case of the other decimal numbers. Decimals within 1 mean that the given numbers are less than 1.

For example, let us subtract 0.56 from 0.98.

We can see that the numbers are within one. So, to solve this we will arrange the numbers in order and do the usual subtraction.

0.98 -0.56 0.42

Subtracting Decimals From Whole Numbers

To subtract decimal numbers from whole numbers we place a decimal point in the whole number according to the number of digits (after the decimal) in the other number. Then, we add the required number of zeros so that both the numbers have an equal length.

For example, let us subtract 0.999 from 6.

Solution: Since there are three digits after the decimal in 0.999, we will place a decimal after 6 and add three zeros after it.

Related Articles

Check out the following topics related to subtracting decimals.

• Subtraction
• Binary Subtraction
• Subtracting Decimals Calculator

Subtracting Decimals Examples

Example 1: Subtract the decimal number 0.45 from 2.52.

Solution: For subtracting decimals, we align them according to their place values and then subtract them.

2.52 -0.45 2.07

Therefore, the difference is 2.07

Example 2: Subtract the decimal number 0.60 from 0.90

Solution: While subtracting decimals, we first align both the numbers in order.

0.90 -0.60 0.30

Therefore, the difference is 0.30

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Practice Questions on Subtracting Decimals

Faqs on subtracting decimals, how to subtract decimals when the top number is smaller.

While subtracting decimals, if a number in the upper row is smaller than the number in the lower row, we borrow 1 from the digit to the left and add 10 to the current digit. This process is also called regrouping or borrowing. After this, we change the number accordingly and continue subtracting. Since 1 is given to the following number, this number is reduced by 1. Let us understand this by subtracting the given numbers.

 3.52 -0.45  3.07

In this case, if we observe the digits in the hundredths column, we see that 2 is smaller than 5, so we borrow 1 from the preceding column (tenths column) and regroup this number, that is, 2 becomes 12. We subtract 5 from 12 and get 7. Now, since 1 was given from the tenths column, 5 reduces to 4, and 4 - 4 = 0. After this, the subtraction continues in the usual way and the answer that we get after subtraction is 3.07.

What are Some Tips for Subtracting Decimals?

For subtracting decimals, we need to remember a few tips which are helpful.

• Write down the numbers in an order such that the bigger number is placed above the smaller one and the decimal points are aligned.
• Add zeros to the required number so that both the numbers are of the same length.
• Then, subtract the numbers in the same way as in the case of whole numbers and place the decimal point accordingly.

How to Borrow When Subtracting Decimals?

While subtracting decimals, there may be instances when a number in the first row is smaller than the number in the second row. In this case, we borrow 1 from the digit to the left and add 10 to the current digit. This process is also called regrouping or borrowing. For example, if we need to subtract 3.58 from 5.4, we see that in the hundredths column, 0 is less than 8.

 5.40 -3.58 1.82

So, we borrow 1 from the tenths column and regroup the number 0 as 10 + 0 = 10. We subtract 8 from 10 and get 2. Now, since 1 was given from the tenths column, 4 reduces to 3 which again leads to borrowing a number from the ones column. So, 3 becomes 13 and we subtract 5 from 13 to get 8. Moving on to the next column (ones column) crossing the decimals, 5 reduces to 4 and 4 - 3 = 1. This gives the final answer as 1.82.

How to Subtract Decimals From Whole Numbers?

To subtract decimal numbers from whole numbers we place a decimal point in the whole number according to the number of digits (after the decimal) in the other number. Then, we add the required number of zeros so that both the numbers have an equal length. For example, to solve these numbers, 4 - 0.67, we can write it as 4.00 - 0.67. Now we can easily subtract the numbers. (4.00 - 0.67 = 3.33)

What is the Rule for Adding and Subtracting Decimals?

The basic rules for adding and subtracting decimals are as follows:

• Align the numbers in such a way that the digits are placed in the corresponding places according to their place values and the decimal points are placed in the same vertical line.

How is Adding Decimals Similar to Subtracting Decimals?

Adding decimals is similar to subtracting decimals because the same rules are used in both the cases. We need to place the decimal numbers one below the other, according to their place values along with the decimal point. First of all, we need to change the given decimal fractions to like decimal fractions to make the addition or subtraction easier. After the decimals are converted to like decimal fractions , by adding the required number of zeros, the two given numbers are added or subtracted in the same way as we solve regular numbers.

Give an Example of Subtracting Decimals.

Subtracting decimals is similar to the subtraction of whole numbers. The only thing to be kept in mind is that the decimal points should be aligned and the given numbers should be of the same length. For example, let us subtract 0.456 from 2. For this, we first need to put a decimal point after 2 and place three zeros after that so that the numbers are of the same length. After this, we align the digits and subtract the numbers in the usual way. (2.000 - 0.456 = 1.544)

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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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• 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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3.2.1: Adding and Subtracting Decimals

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Learning Objectives

• Add two or more decimals.
• Subtract two or more decimals, with and without regrouping.
• Solve application problems that require decimal addition or subtraction.

Introduction

Since dollars and cents are typically written as decimals, you often need to work with decimals. Knowing how to add and subtract decimal numbers is essential when you deposit money to (and withdraw money from) your bank account; perform an incorrect calculation, and you may be costing yourself some cash!

When adding or subtracting decimals, it is essential that you pay attention to the place value of the digits in the numbers you are adding or subtracting. This will be the key idea in the discussion that follows. Let’s begin with an everyday example that illustrates this idea before moving into more general techniques.

Adding Decimals

Suppose Celia needs $0.80 to ride the bus from home to her office. She reaches into her purse and pulls out the following coins: 3 quarters, 1 dime and 2 pennies. Does she have enough money to ride the bus?

Take a moment to think about this problem. Does she have enough money? Some people may solve it like this: “I know each quarter is 25¢, so three quarters is 75¢. Adding a dime brings me to 85¢, and then another two pennies is 87¢. So, Celia does have enough money to ride the bus.”

This problem provides a good starting point for our conversation because you can use your knowledge about pocket change to understand the basics about how to add decimals. The coins you use every day can all be represented as whole cent values, as shown above. But they can also be represented as decimal numbers, too, because quarters, dimes, nickels, and pennies are each worth less than one whole dollar.

Celia has 87¢. You can also write this amount in terms of the number of dollars she has: $0.87. The table below shows a step-by-step approach to adding the coins in terms of cents and also as dollars. As you review the table, pay attention to the place values.

When you add whole numbers, as shown in the Value (cents) column above, you line up the numbers so that the digits in the ones place-value column are aligned.

In order to keep the numbers in the proper place-value column when adding decimals, align the decimal points. This will keep the numbers aligned; ones to ones, tenths to tenths, hundredths to hundredths, and so on. Look at the column titled Value (dollars) . You will see that place value is maintained, and that the decimal points align from top to bottom.

To add decimals:

• Align the decimal points, which will allow all the digits to be aligned according to their place values.
• Add just as you would add whole numbers, beginning on the right and progressing to the left.
• Write the decimal point in the sum, aligned with the decimal points in the numbers being added.

Add. 0.23+4.5+20.32

0.23+4.5+20.32=25.05

Add. 4.041+8+510.042

4.041+8+510.042=522.083

Add: 0.08+0.156

• Incorrect. Pay attention to the locations of the decimal points. An answer of 0.956 would have been correct for the problem 0.8+0.156. The correct answer is 0.236.
• Correct. Line up the decimal points and then add. The correct answer is 0.236.
• Incorrect. Pay attention to the locations of the decimal points. An answer of 0.164 would have been correct for the problem 0.008+0.156. You can only add zeros at the end of the number. The correct answer is 0.236.
• Incorrect. Pay attention to the locations of the decimal points. An answer of 0.1568 would have been correct for the problem 0.0008+0.156. You can only add zeros at the end of the number. The correct answer is 0.236.

Subtracting Decimals

Subtracting decimals uses the same setup as adding decimals: line up the decimal points, and then subtract.

In cases where you are subtracting two decimals that extend to different place values, it often makes sense to add extra zeros to make the two numbers line up—this makes the subtraction a bit easier to follow.

To subtract decimals:

• Align the decimal points, which will allow all of the digits to be aligned according to their place values.
• Subtract just as you would subtract whole numbers, beginning on the right and progressing to the left.
• Align the decimal point in the difference directly below the decimal points in the numbers that were subtracted.

Subtract. 39.672-5.431

39.672-5.431=34.241

Subtract. 0.9-0.027

0.9-0.027=0.873

Subtract. 43.21-8.1

• Correct. Line up the two numbers so that the decimal points are aligned, and then subtract. The difference is 35.11.
• Incorrect. Pay attention to the location of the decimal point. An answer of 42.40 would have been correct for the problem 43.21-0.81. The correct answer is 35.11.
• Incorrect. To subtract, you need to align the decimal points first. The correct answer is 35.11.
• Incorrect. Pay attention to the location of the decimal point. An answer of 35.2 would have been correct for the problem 43.21-8.01. The correct answer is 35.11.

Solving Problems

In adding and subtracting decimals, you may have noticed that as long as you line up the decimal points in the numbers you are adding or subtracting, you can operate upon them as you would whole numbers.

Determining whether you need to add or subtract in a given situation is also straightforward. If two quantities are being combined, then add them. If one is being withdrawn from the other, then subtract them.

Javier has a balance of $1,800.50 in his personal checking account. He pays two bills out of this account: a $50.23 electric bill, and a $70.80 cell phone bill.

How much money is left in Javier’s checking account after he pays these bills?

Javier has $1,679.47 left in his checking account after paying his bills.

Helene ran the 100-meter dash twice on Saturday. The difference between her two times was 0.3 seconds. Which pair of numbers below could have been her individual race times?

• 14.22 and 14.25 seconds
• 14.22 and 17.22 seconds
• 14.22 and 14.58 seconds
• 14.22 and 13.92 seconds
• Incorrect. The difference between these times is 0.03 seconds, not 0.3 seconds. The correct answer is 14.22 and 13.92 seconds.
• Incorrect. The difference between these times is 3 seconds, not 0.3 seconds. The correct answer is 14.22 and 13.92 seconds.
• Incorrect. The difference between these times is 0.36 seconds, not 0.3 seconds. The correct answer is 14.22 and 13.92 seconds.
• Correct. 14.22-13.92=0.3; the difference between Helene’s two race times is 0.3 seconds.

When adding or subtracting decimals, you must always align the decimal points, which will allow the place-value positions to fall in place. Then add or subtract as you do with whole numbers, regrouping as necessary. You can use these operations to solve real-world problems involving decimals, especially those with money.

Adding and Subtracting Decimals Lesson

Adding and subtracting decimals is a unit of instruction that shows students how to read, write, compare, order, add and subtract decimals..

Other topics include estimating decimal sums and differences, and solving word problems. Try our sample lessons below, or browse  other instructional units .

Other Lessons  |  Feedback

Solving problems with decimals using addition and subtraction

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.

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Unit maths / calculating with whole numbers and decimals.

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Subtracting Decimals Word Problems | Printable | Free

Table of Contents

Subtracting Decimals Word Problems

Subtraction decimals word problems that are hands-on and perfect for visual learners. Includes a printable with 5 questions and grids to color in to figure out the answer.

It is time for some new word problems that focus on subtracting decimals. These interactive, hands-on word problems are a fun way to visualize the process.

SO grab some crayons and pencils and let’s get solving these subtracting decimal word problems.

Decimal Word Problems

There are three different ways for our children to solve these subtraction decimal word problems. Each way builds number sense and provides strategies that could help your students be able to solve these types of problems mentally.

1. Decimal Grids:

When using the decimal grids, you begin by coloring in the minuend (the first number in the subtraction expression). In this example, we are coloring in 1.31.

One stands for one whole.

The three stands for 3 tenths so we color in 3 out of the ten rows.

The last one stands for 1 hundredth. So we color in one out of a hundred squares.

If you need more worksheets I have a ton of simple decimal word problems for your students to work through.

Now it is time to subtract. The subtrahend (the second number in the subtraction expression) tells us how many we need to cross off. 

In this example, it is .9 or nine-tenths.

So we are going to cross off nine columns.

Now, all we have to do is count up what is left.

There are four-tenths and one hundredth. So the answer is 0.41

2. Number Lines:

Now we move on to number lines. There are two ways we can do this.

One way is to count backward.

We start by writing the minuend on the number line . Then we count backward.

With this example, we only have to subtract nine-tenths. So we count back by tenths.

1.21, 1.11, 1.01, 0.91, 0.81, 0.71, 0.61, 0.51, 0.41

For another way to subtract on a number line, check out this video.

3. Equations:

Finally, we get to equations. This is a way to break numbers apart or decompose the original expression.

I’m starting with my minuend (1.31) and trying to figure out an easy way to subtract from there. Well, I know that if I subtract .3 that puts me at 1.01. Now I know that I needed to subtract another .6, and this is easy.

10 – 6 = 4…so 1.01 – .6 = .41

There is so much thinking involved while solving these word problems, that number sense is developed. It may take a little more time, but the understanding that comes from it will be beneficial.

I have more adding and subtracting decimals word problems here.

Subtracting Decimals Word Problems Worksheet

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Adding and Subtracting Decimals – Word Problem Task Cards

Updated:  19 Oct 2023

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

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Non-Editable:  PDF

Pages:  1 Page

• Curriculum Curriculum:  CCSS, TEKS

Grades:  5 - 6

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Explore Decimal Word Problems

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

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

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

The download for this resource contains:

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

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

Multiple Uses for These Decimal Word Problem Cards

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

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

Print and Prepare These Adding and Subtracting Decimals Task Cards

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

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

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

Explore Teach Starter’s Decimal Operations Resources

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

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Dividing with decimals – word problem task cards.

Sharpen decimal division skills while solving a variety of word problems with this set of 24 task cards.

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Use this board game to encourage friendly competition while practicing how to subtract decimals with visual models.

Adding and Subtracting Decimals – Differentiated Mystery Image Worksheets

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

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Puzzle Pics Money

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Inequalities, absolute value and rounding, related concepts.

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Unit 1: Decimal place value

Unit 2: add decimals, unit 3: subtract decimals, unit 4: add and subtract fractions, unit 5: multi-digit multiplication and division, unit 6: multiply fractions, unit 7: divide fractions, unit 8: multiply decimals, unit 9: divide decimals, unit 10: powers of ten, unit 11: volume, unit 12: coordinate plane, unit 13: algebraic thinking, unit 14: converting units of measure, unit 15: line plots, unit 16: properties of shapes.