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Multiplying decimals

Here you will learn about multiplying decimals, including how to multiply decimals by a whole number and multiply decimals by decimals.

Students will first learn about multiplying decimals in 5th grade math as part of their work in number and operations.

What is multiplying decimals?

Multiplying decimals is when you multiply numbers involving decimals.

Let’s look at strategies for multiplying decimal numbers.

The product is the overlapped shaded area. There are 24 shaded squares in the overlapped area, so the product is \bf{0.24.}

The product is the sum of all the shaded squares, which is 102. The product is \bf{1.02.}

[FREE] Multiplying Decimals Worksheet (Grade 5 and 6)

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

Common Core State Standards

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

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

How to multiply decimals

In order to multiply decimals using the standard algorithm.

Stack the number with the most digits on top.

• Multiply as if the numbers were multi-digit whole numbers, regrouping when necessary.

Count the number of digits after the decimal point for each factor.

• Put the same number of digits after the decimal point for the product.

In order to solve decimal multiplication word problems.

• Create an equation to model the problem.

Multiply as if the numbers were multi-digit whole numbers, regrouping when necessary.

• Put the same number of digits behind the decimal as the product.

Label the product.

Multiplying decimal examples

Example 1: multiplying a decimal number by a decimal number.

Find the product of 0.8 \times 0.4 .

Both factors have the same number of digits, so it does not matter which one is on top.

2 Multiply as if the numbers were multi-digit whole numbers, regrouping when necessary.

3 Count the number of digits after the decimal point for each factor.

Together, there are two numbers after the decimal point.

4 Put the same number of digits after the decimal point for the product.

Move the decimal point two decimal places. The product will have two digits after the decimal point.

The product is 0.32.

On the hundredths grid, look at the overlapped shaded region. There are 32 squares in that area which is 32 hundredths or 0.32

Example 2: multiplying a decimal number by a whole number

Find the product of 1.21 \times 3 .

1.21 has more digits than 3, so 1.21 will be on top.

In total, there are two decimal places after the decimal point.

Put the same number of digits behind the decimal for the product.

The product is 3.63

Looking at the hundredths grids, you can see there are 3 groups of 1.21 that represent 363 shade squares, 363 squares = \; 3.63

Example 3: multiplying a decimal number by a decimal number

Find the product of 3.4 \times 43.2 .

43.2 has more digits than 3.4, so it will go on top.

The product is 146.88

Example 4: multiplying a decimal by a decimal

Solve the multiplication problem, 1.642 \times 32.7 .

1.642 has more digits than 32.7, so it will go on top.

In total, there are four decimal places after the decimal point.

Move the decimal point four decimal places. The answer has four digits after the decimal point.

The product is 53.6934

Example 5: word problem multiplying a whole number by a decimal number

Kit claims she has 4.5 times as many songs on her playlist as Kai. If Kai has 48 songs on his playlist, how many does Kit have on hers?

Create an equation to model the problem

4.5 \times 48 = \; ?

48 and 4.5 have the same number of digits. It does not matter which one goes on top.

In total, there is one decimal place after the decimal point.

Move the decimal point one decimal place. The product will have one digit after the decimal point.

The product is 216.0 or 216

Kit has 216 songs on her playlist.

Example 6: word problem multiplying decimal number by a decimal number

On Jupiter, objects weigh about 2.4 times as much as they do on Earth. How much would a 9.45 -pound puppy weigh on Jupiter?

9.45 \times 2.4 = \; ?

9.45 has more digits, so it will go on top.

In total, there are three decimal places after the decimal point.

Move the decimal point three decimal places. The product will have three digits after the decimal point.

The product is 22.680 or 22.68

The puppy will weigh 22.68 pounds on Jupiter.

Teaching tips for multiplying decimals

• In 5th grade math, students are first taught about decimal multiplication using visual models such as hundredths grids. As they develop understanding they are able to connect the algorithm of multi-digit multiplication to the multiplication of decimals.
• Explore other strategies for decimal multiplication such as partial products, which emphasize the distributive property and may be easier for students to understand.
• Although practicing the skill of decimal multiplication is important, do not rely on practice worksheets to develop deep understanding. Using visual models, hands-on activities, and digital games are very effective alternatives to multiplication problem worksheets.

Our favorite mistakes

• Placing the decimal point in the wrong position in the answer (product) It is important to remember to count the number of places that are in both factors. The total number of digits to the right of the decimal point is how many the answer should have to the right of the decimal point.
• Leaving the decimal point out completely
• Thinking that the decimal points of the products need to line up before multiplying like they do in addition of decimals

Related lessons on decimals

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

Practice multiplying decimals questions

1. Find the product of the numbers.

4.37 has more digits than 14, so it will go on top.

  In total, there are two decimal places after the decimal point. Move the decimal point two decimal places. The answer will have two digits after the decimal point.   Product = \; 61.18

2. Find the product of the two numbers.

5.21 has more digits than 1.6, so it will go on top.

There are a total of three digits after the decimal point. Move the decimal point three decimal places  

Product = \; 8.336

3. Find the product of the numbers.

0.264 has more digits than 1.1, so it will go on top.

There are a total of four digits after the decimal point. Move the decimal point four decimal places.

Product = \; 0.2904

4. Kaylee went to the bookstore to buy 6 books she needed for her class. If the books cost \$17.25 each, how much did she spend on her books?

There are a total of two digits after the decimal point. Move the decimal point two decimal places.

Kaylee will spend \$103.25 on the 6 books.

5. The local farmer sold 13.2 pounds of tomatoes. She sold 2.5 times more apples than tomatoes. How many pounds of apples did she sell?

33.3 pounds

33.33 pounds

2.5 times more pounds of apples were sold than tomatoes. Multiply 2.5 times 13.2.  

33.00 = 33 pounds of apples were sold.

Multiplying decimals FAQs:

Yes, in 6th grade, you will become very familiar with changing decimals to fractions and fractions to decimals. However, there are certain situations where keeping the number as a decimal might be easier.

Work typically involves multiplying numbers that have values in either the tenths place, hundredths place and/or the thousandths place.

\begin{aligned} & \quad \quad \bf{1.3} \quad \quad \textbf{×} \quad \quad \bf{3.4} \quad \quad \textbf{=} \quad \quad \bf{4.08} \\ & \quad \quad \;\; \text{⇧} \quad \quad \quad \quad \quad \; \text{⇧} \quad \quad \quad \quad \quad \;\; \text{⇧}\\ & \text{multiplicand} \quad \; \text{multiplier} \quad \quad \text{product} \end{aligned}

The next lessons are

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

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[FREE] Common Core Practice Tests (3rd to 8th Grade)

Prepare for math tests in your state with these 3rd Grade to 8th Grade practice assessments for Common Core and state equivalents.

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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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→ → Decimal multiplication The worksheets provide calculation practice for decimal multiplication (both mental math and multiplication algorithm). They are meant for 5th - 6th grades. Jump to: The worksheets are randomly generated, so you can get a new, different one just by hitting the refresh button on your browser (or F5). You can print them directly from your browser window, but first check how it looks like in the . If the worksheet does not fit the page in the Print Preview, adjust your margins, header, and footer in the Page Setup settings of the browser. Or, adjust the "scale" to 90% or less in the Print Preview. Some browsers may have "Print to fit" option, which will automatically scale the worksheet to be so small as to fit the printable area. : you can of the worksheets for use in the classroom, home, tutoring center—anywhere you might be teaching. If you want to distribute the links or worksheets on a website or publication, please us. Decimal multiplication worksheets — mental math (one decimal digit) (one decimal digit) (one decimal digit) (1-2 decimal digits) (1-2 decimal digits) (1-3 decimal digits) (1-3 decimal digits) Worksheets for multiplying decimals by powers of ten (1-2 decimal digits) (1-2 decimal digits) (1-2 decimal digits) (1-3 decimal digits) (1-3 decimal digits) (1-3 decimal digits) (1-3 decimal digits) Worksheets for long multiplication of decimals (multiplication algorithm) (0-2 decimal digits) (0-3 decimal digits) (1-2 decimal digits) (0-2 decimal digits) (0-3 decimal digits) — a free lesson — a free lesson — generate worksheets for any of the four operations with decimals, in horizontal or vertical formats. This is a workbook series by Key Curriculum Press that begins with basic concepts and operations on decimals. Then the books cover real-world uses of decimals in pricing, sports, metrics, calculators, and science.

Multiplying Decimals

Multiply without the decimal point, then re-insert it in the correct spot!

How to Multiply Decimals

Just follow these steps:

• Multiply normally, ignoring the decimal points.
• Then put the decimal point in the answer - it will have as many decimal places as the two original numbers combined.

In other words, just count up how many numbers are after the decimal point in both numbers you are multiplying, then the answer should have that many numbers after its decimal point.

Example: Multiply 0.03 by 1.1

See the

How Does It Work?

Because when you multiply without the decimal point, you are really shifting the decimal point to the right to get it out of the way :

0.03 × 1.1		× 1.1		× 1.1		×

Then we do the (now easy) multiplication:

3. × 11. = 33.

But remember, we did 3 Moves of the decimal point, so we need to undo that:

33.		3.3		0.33		0.033

Here are some more examples:

Example: Multiply 0.25 by 0.2

Example: multiply 102 by 0.22, common sense.

As a final check you can put your "common sense" hat on and think "is that the right size?" , because you don't want to pay ten times too much for anything, nor get only one-tenth of what you need!

And that's all.

Just remember: the answer should have the same number of decimal places as are in both the numbers you are multiplying.

Decimal Word Problems (Mixed Operations) Worksheet and Solutions

Decimal Word Problems Worksheets: 1-Step Word Problems, Add, Subtract 2-Step Word Problems, Add, Subtract Decimal Word Problems (Mixed Op) Decimal Word Problems (Mixed Op)

Objective: I can solve word problems involving addition, subtraction, multiplication and division of decimals.

Printable “Decimal Word Problems” Worksheets

Decimal Word Problems Worksheet #1 Decimal Word Problems Worksheet #2 Decimal Word Problems Worksheet #3 Decimal Word Problems Worksheet #4

Online “Decimal Word Problems” Worksheets

Solve the following word problems. Julia cut a string 8.46 m long into 6 equal pieces. What is the length of each piece of string? m The mass of a jar of sweets is 1.4 kg. What is the total mass of 7 such jars of sweets? kg The watermelon bought by Peter is 3 times as heavy as the papaya bought by Paul. If the watermelon bought by Peter has a mass of 4.2 kg, what is the mass of the papaya? kg There is 0.625 kg of powdered milk in each tin. If a carton contains 12 tins, find the total mass of powdered milk in the carton. kg Marcus bought 8.6 kg of sugar. He poured the sugar equally into 5 bottles. There was 0.35 kg of sugar left over. What was the mass of sugar in 1 bottle? kg

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Multiplying decimals

Multiplying decimals is similar to dividing decimals in that we want to use our understanding of decimals as a base 10 numeration system to allow us to simplify the multiplication problem while still accounting for the decimal.

To multiply decimals:

• Count the number of significant digits after the decimal point in all of the numbers being multiplied. Call this number n. By significant, we mean that the digit is either non-zero, or is a zero that affects the value of the number
• Now multiply all the numbers as you would normally, ignoring the decimal points
• Count n digits from the right of the product , then write a decimal point. This is the solution

1. Solve 25 × 0.5:

• There is 1 digit after the decimal point in 0.5, and 0 after 25, so n=1. Technically we could add infinite 0s after the decimal point, but they would not be significant 0s since 25 is the same as 25.0, which is the same as 25.000, and so on. For a zero to be significant, there needs to be at least one non-zero digit that follows it.
• 25 × 0.5 → 25 × 5 = 125
• Since n=1, we count 1 decimal place from the right of the product, and place the decimal point:

2. Solve 10.31 × 5.723:

• There are 2 digits after the decimal point in 10.31, and 3 digits after the decimal point in 5.723, so n=5.
• 10.31 × 5.723 → 1,031 × 5,723 = 5,900,413
• Since n=5, we count 5 decimal places from the right of the product, and place the decimal point:

Why does this work?

Each digit after the decimal point (and those before as well) represents a power of 10. When we count the number of digits after the decimal point in each number, we are essentially counting the powers of 10 involved in the multiplication problem; each digit represents 10 1 . The steps for multiplying decimals are a simplified version of what is shown below. Using example 2 above, the following is what is actually happening, and why the steps above for multiplying decimals work:

Above, we found that n=5 is the sum of the number of significant digits after the decimal place of each number. Referencing the figure, we had to multiply 10.31 by 100 and 5.723 by 1000 to shift the decimal place before multiplying.

100 × 1000 = 100,000 = 10 5

So, since we changed the problem by multiplying the numbers by the equivalent of 10 5 , or 100,000, we then have to divide the solution we found by 100,000, which is the equivalent of shifting the decimal point 5 times from the rightmost digit.

Essentially, we are changing the values in the multiplication problem by factors of 10 to make the problem simpler to compute, then changing the solution back by the appropriate factor of 10.

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The Quick and Easy Guide to Multiplying Decimals

Last Updated: July 3, 2024 Fact Checked

• Multiplying Decimals by Decimals
• Multiplying Whole Numbers by Decimals
• Solving Word Problems
• Example Problems

Worksheet & Answer Key

Expert interview, expert q&a.

This article was co-authored by Taylor Klein and by wikiHow staff writer, Sophie Burkholder, BA . Taylor Klein is an Advanced Math Teacher based in Philadelphia, Pennsylvania. She has worked in the education field for over 10 years, including eight years as a middle school Advanced Math Teacher. She has a master’s degree in Instructional Technology and Design and a master’s degree in Educational Leadership and Administration. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. This article has been viewed 350,751 times.

When you want to multiply any two numbers involving decimals, this process is called decimal multiplication. Multiplying decimals may look tricky, but all you have to do is follow a simple set of steps, and we're here to explain them. You can multiply two decimals together or multiply one decimal by a whole number—read on for a step-by-step guide for any decimal multiplication problem you’re looking to solve.

Quick Steps for Multiplying Decimals

• Stack the numbers so the one with the most digits is on top.
• Multiply the numbers as if they didn’t have decimal points.
• Add the total number of digits to the right of the decimal point for both factors.
• Move the decimal point of the product to the left that number of spaces.
• Add zeroes as needed between the decimal point and the product.

Multiplying a Decimal Number by a Decimal Number

• Multiply the 6 in .0 6 by the 3 in .4 3 to get 18 .
• Write 8 below the rightmost column and carry the 1 on top of the leftmost column.
• Multiply the 6 in .0 6 by the 4 in . 4 3 to get 24.
• Add 24 to the 1 that was carried to get 25 .
• Write 25 to the left of the 8 under the multiplication line.
• When you start multiplying .43 by 0, you'll see that you only get 0, so there's no need to write anything down.
• The final product of this step (while ignoring decimal points) is 258 .

• The number 4 comes from the combined number of digits on the right hand side of our original decimals.
• The decimal point should end up one space past the 2 in 2 58.
• Fill in the empty space between the decimal and the 2 with a zero—this step is only necessary if there’s a blank space between the decimal point and the leftmost digit. [5] X Research source
• Therefore, the final product is .43 x .06 = .0258 .

• For example, you may want to check that .43 multiplied by .06 is indeed .0258.
• To do so, divide .0258 by .06. If you get .43, then your answer is correct!
• Alternatively, you could divide .0258 by .43. If you get .06, then your answer is also correct!

Multiplying a Whole Number by a Decimal Number

• Multiply the 1 in 1.2 1 by 3 to get 3 .
• Write 3 below the rightmost column.
• Multiply the 2 in 1. 2 1 by 3 to get 6.
• Write 6 below the middle column
• Multiply the 1 in 1 .21 by 3 to get 3.
• Write 3 below the leftmost column.
• The final product of this step (while ignoring decimal points) is 363 .

• We’re getting the number 2 from the combined number of digits on the right-hand side of the decimals in our original multiplication factors.
• The resulting product after moving the decimal point two spaces is 3.63 .
• Therefore, the final answer is 1.21 x 3 = 3.63 .

• For example, you may want to check that 1.21 multiplied by 3 is indeed 3.63.
• To do so, divide 3.63 by 1.21. If you get 3, then your answer is correct!
• Alternatively, you could divide 3.63 by 3. If you get 1.21, then your answer is also correct!

Solving a Decimal Multiplication Word Problem

• Caitlin says that she has 2.2 times as many Instagram followers as Esther. If Esther has 43 Instagram followers, how many does Caitlin have?
• Solving this problem requires multiplying the decimal number 2.2 with the whole number 43.
• The mathematical equation for this problem would be 2.2 x 43 = ? .

• Multiply the 3 in 4 3 by the 2 in 2 2 to get 6 .
• Write 6 below the rightmost column.
• Write 6 below the leftmost column
• Place a zero under your result in the rightmost column, directly under the 6.
• Multiply the 4 in 4 3 by the 2 in 2 2 to get 8 .
• Write 8 to the left of the 0 in the lowest row.
• Write another 8 to the left of the one you wrote previously.
• Add 66 + 880 to get 946 .
• The final product of this step (while ignoring decimal points) is 946 .

• The resulting product after moving the decimal point one place over is 94.6 .
• Therefore, the final answer is 43 x 2.2 = 94.6 .

Multiplying Decimals Example Problems

• Multiply without decimal points: 25 x 2 = 50 .
• Identify the number of decimal places: 0. 25 has 2 , 0. 2 has 1 .
• Add together the number of decimal places: 2 + 1 = 3 .
• Place the decimal point 3 spaces to the left in the previous product: 50 → 0.050 .
• The final answer is 0.050 .

• Multiply without decimal points: 102 x 0.22 = 2244 .
• Identify the number of decimal places: 0. 22 has 2 , 102 has 0 .
• Add together the number of decimal places: 2 + 0 = 2 .
• Place the decimal point 2 spaces to the left in the previous product: 2244 → 22.44 .
• The final answer is 22.44 .

• Rewrite the problem as an equation: 0.06 x 2.25 = ?
• Multiply without decimal points: 6 x 225 = 1350 .
• Identify the number of decimal places: 0. 06 has 2 , 2. 25 has 2 .
• Add together the number of decimal places: 2 + 2 = 4 .
• Place the decimal point 4 spaces to the left in the previous product: 1350 → 0.1350 .
• The final answer is Penelope will pay 0.135 (or approximately 0.14) in sales tax.

• Rewrite the problem as an equation: 20,000 x 0.2 = ?
• Multiply without decimal points: 20,000 x 2 = 40,000 .
• Identify the number of decimal places: 0. 2 has 1 , and 20,000 has 0 .
• Add together the number of decimal places: 1 + 0 = 1 .
• Place the decimal point 1 space to the left in the previous product: 40,000 → 4,000 .
• The final answer is The University of Glasgow has 4,000 students.

• Decimal multiplication follows the same steps as whole number multiplication, but you have to add the correct amount of decimal spaces at the end. Thanks Helpful 0 Not Helpful 0
• You don’t have to line up the decimal points of the products—this is only necessary when subtracting or adding decimals . Thanks Helpful 0 Not Helpful 0
• If you’re multiplying a decimal by 10, 100, or 1000, you simply have to shift the decimal point toward the right as many spaces as the number of zeros in the power of 10. If you multiply the decimal 2.32 by 100, for example, shift the decimal point two places to the right to get 232. Thanks Helpful 0 Not Helpful 0

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Thanks for reading our article! If you’d like to learn more about math, check out our in-depth interview with Taylor Klein .

• ↑ http://www.math.com/school/subject1/lessons/S1U1L5GL.html
• ↑ https://www.mathsisfun.com/multiplying-decimals.html
• ↑ https://www.khanacademy.org/math/arithmetic/arith-decimals/arith-review-multiplying-decimals/v/more-intuition-on-multiplying-decimals
• ↑ http://www.coolmath.com/prealgebra/02-decimals/08-decimals-multiplying-01
• ↑ https://kttmc.weebly.com/uploads/2/1/2/7/21275598/2.4a_multiplying_word_problems_hw.pdf

About This Article

To multiply decimals, line up the numbers vertically so that the decimal points are in the same position. Then, multiply as normal and temporarily ignore the decimal points. Once you have your answer, count how many numbers in each of the original factors are to the right of the decimal point. For example, 0.02 is 2 spots to the right of the decimal point. If you were multiplying 0.02 × 0.4, the total number to the right of the decimal point is 3. Take this total number and then move the decimal point in your answer by that number of spots. If you move the decimal point past the first number of the answer, add zeros after the decimal point until you reach the numbers. If you want to learn how to check your answer to see if it's correct, keep reading the article! Did this summary help you? Yes No

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{FREE} Multiplying Decimals Word Problems Set

Whether our kids want to admit it or not, decimals are a part of our everyday life. And it’s important that they feel confident doing basic computations with decimals. Even if they start to use a calculator, they still need to understand how to rightly apply operations with decimals to solve real world problems. If they don’t know whether to multiply or add, using a calculator isn’t going to help. So I hope this free set of multiplying decimals word problems provides a chance for some quick, low-prep practice.

* Please Note : This post contains affiliate links which support the work of this site. Read our full disclosure here .*

Multiplying Decimals Word Problems:

This set of word problems is actually a sample from my ‘Making Sense of Word Problems’ course . In that course, I explain the different types and structures for word problems .

When you consider multiplication and division problems, there are actually 9 different types or problem structures for a multiplication/division problem.

This set of 27 decimal word problems covers all the different structures, which kids can solve using multiplication and division.

Each page includes 3 problems , with space for kids to write out their thinking and solution. However, you could also cut the pages into strips to assign one problem at a time.

The download also includes an answer key , making it easy for you to print and use with your students.

Ways to Incorporate More Word Problem Practice:

There are a lot of different ways you can include word problem practice into your math routine, but here are some ideas to get you started. Or just provide some ideas you may not have thought of.

• At the start of a new unit: Although most curricula or textbooks will save word problems for last, I actually think you should begin a unit by presenting a problem for kids to solve. This does not necessarily have to be a word problem, but with multiplication and division involving fractions and decimals, I think these skills are best learned in context . So even if you have not given students an example or method for solving, this will encourage them to think and apply what they know to come up with their own ideas and strategies.
• As a daily challenge problem: Another idea is to have a ‘problem of the day’ word problem for kids, perhaps when they come into class. This is a great way to not only work on word problems, but also review skills, because this doesn’t necessarily need to be related to your lesson that day. This set of word problems can easily be cut into strips so kids can glue the problem into their notebook or math journal each day.
• Math practice for a sub day: Not sure what to plan for your substitute while you’re out? Why not give kids a set of related word problems? Let them work independently or in small groups . Then when you return you can discuss the different problems, how to multiply and divide decimals or different strategies kids used.
•  As homework: Lastly, assigning a small set of related word problems as homework provides practice for kids independently, but not an overwhelming amount.

But however you include word problems as you explore multiplying decimals or dividing decimals , I hope this set of 27 problems provides a quick and easy resource for you.

{Click HERE to go to my shop and grab the FREE set of Multiplying Decimals Word Problems}

*pssst: looking for even more word problem resources check out the complete course to help you and your students make sense of word problems., find more free word problem resources below:.

• Word problem solving templates
• I Notice…I Wonder Routine for solving problems | Journal for kids
• Pythagorean Theorem word problems
• Lemonade stand word problems | time & money
• Two step problems set | multiplication & subtraction of whole numbers

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Decimals  - Multiplying and Dividing Decimals

Decimals  -, multiplying and dividing decimals, decimals multiplying and dividing decimals.

Decimals: Multiplying and Dividing Decimals

Lesson 3: multiplying and dividing decimals.

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Multiplying with decimals

In Adding and Subtracting Decimals , you learned how to add decimal numbers. You may be able to think of times when you'd add decimals in real life. For example, let's say you go to the store and find a shirt you really like. The price tag says it costs $15.60 . You like the shirt so much that you decide to buy five of them.

To figure out the total cost, you could add the prices.

Adding this many numbers could take a long time. In the lesson on multiplication , we learned that when you multiply, you are increasing a number many times. Because all of the shirt prices are the same , multiplication could help you solve this problem a little faster.

When you multiply decimal numbers, it's helpful to set up the problem in a way that makes it easier for you to solve it one step at a time .

Click through the slideshow below to learn how to set up a multiplication problem with decimals.

Instead of adding $15.60 + $15.60 + $15.60 + $15.60 + $15.60 ...

Instead of adding $15.60 + $15.60 + $15.60 + $15.60 + $15.60 ...we'll multiply $15.60 by 5 .

Let's set up our multiplication expression: $15.60 x 5 . We'll stack the numbers one on top of the other.

It's a good habit to place the number that has the most digits on top . This makes the problem easier to solve.

Let's look at the number of digits in each number. 15.60 has four digits...

Let's look at the number of digits in each number. 15.60 has four digits...and 5 is one digit.

15.60 has more digits . This means we'll write 15.60 above the 5 .

Since we're multiplying this number, we'll write the times sign ( X ) to the left of the numbers.

Instead of an equals sign ( = ), we'll put a line underneath the number on bottom.

When writing a stacked multiplication expression with decimal numbers, the numbers should be lined up on the right .

Let's look at another example. We'll stack this expression: 4.5 x 38.12 .

First, let's look to see how many digits are in each number. 4.5 has two digits...

First, look to see how many digits are in each number. 4.5 has two digits...and 38.12 has four digits.

38.12 has more digits. This means we'll place 38.12 above 4.5 .

Then we'll make sure the digits to the right are lined up. The 2 is right above the 5 .

Solving multiplication problems with decimals

Multiplying decimal numbers is a lot like multiplying larger numbers . If you divide the large problem into a few smaller ones, it will be easier to solve. Let's see how this works by solving this problem: 2.3 x 4 .

Click through the slideshow to learn how to multiply decimals.

To solve our problem, we'll use a familiar tool: the times table .

When multiplying stacked numbers, start with the right digit on the bottom . The bottom number only has one digit: 4 .

We'll multiply 4 by the top number, 2.3 . Since there's no 2.3 in the times table, we'll have to multiply one digit at a time.

As usual, we'll solve the problem from right to left . So, we'll multiply 4 by the digit on the top right . Here, that's 3 .

Now it's time to solve 4 x 3 . We can use the times table .

4 x 3 is 12 , but there's no room to write both digits underneath the 4 and 3 .

Remember, this means we'll have to carry . We learned about carrying numbers in the lesson on multiplying larger numbers .

We'll write the right digit, 2 , under the line...

We'll write the right digit, 2 , under the line...then we'll carry the left digit, 1 , up to the next set of digits in the problem.

Now it's time for the next step. We'll multiply 4 x 2 .

4 x 2 = 8 . But we won't write 8 under the line yet. Remember, there's one more step.

We need to make sure we add the number we carried: 1 .

We'll set up our addition problem.

1 + 8 = 9 .

We'll write 9 beneath the line.

In our problem, we multiplied a decimal number: 2.3 . This means our answer will also need to be a decimal number.

Let's figure out where to put the decimal point ( . ).

In the problem, 2.3 has one digit to the right of the decimal point.

This means our answer will also have one digit to the right of the decimal point.

We'll place the decimal point so that only one digit is to the right : the 2 .

Our problem is solved. The total is 9.2 . We know that 2.3 x 4 = 9.2 . We can read this answer as nine and two-tenths .

Let's try another problem. This time we'll multiply money: $3.05 x 2 .

First, we'll multiply the bottom number, 2 , by the digit on the top right. That's 5 .

2 x 5 = 10 .

We'll write the 0 under the line...

We'll write the 0 under the line...and carry the 1 . We'll place it above the next digit.

The next digit is 0 .

Anything times zero is zero , so we know that 2 x 0 = 0 .

Remember, we need to make sure we add the 1 that we carried.

0 + 1 = 1 . We'll write 1 beneath the line.

Finally, we'll multiply 2 and 3 .

2 x 3 = 6 , so we'll write 6 beneath the line.

It's time to place our decimal point. We need to count the digits to the right of the decimal point in our problem.

3.05 has two digits to the right of the decimal point. They're 0 and 5 .

This means our answer will need to have two digits to the right of the decimal point.

We'll place the decimal point so that two digits are to the right: the 1 and the 0 .

Finally, we'll write a dollar sign ( $ ) to the left of the number.

We've solved the problem. $3.05 x 2 = $6.10 . We can read this as six dollars and ten cents .

Note : When determining where to place your decimal point in your answer, count the total number of digits to the right of each decimal point in your problem. For example, if you are simplifying 3.25 x 2.3, you would count the two digits in 3.25 plus the one digit in 2.3. Therefore, we should place the decimal point in our answer so that three digits are to the right (3.25 x 2.3 = 7.475).

Try solving these multiplication problems. Then, check your answer by typing it in the box.

Dividing decimals

Let's look at a different situation. Let's imagine you have a fence, and you want to plant 5 bushes in front of it. Your fence is 20 feet long. You'd like to space the bushes out equally, so you know you'll need to divide your fence into 5 equal sections. This means you'll need to divide 20 by 5 .

In the lesson on division , we learned how to set up division expressions. For the situation above, the expression would look like this:

In our expression, 20 is a whole number . But what if the length of the fence is a decimal number ? For instance, let's say it's 20.75 feet long. Believe it or not, dividing a decimal isn't that different.

When you set up an expression to divide a decimal number, it's important to make sure you're always dividing by a whole number . In our example above, 20.75 is being divided by the whole number 5 . Dividing by a whole number makes long division easier to manage.

Click through the slideshow below to learn how to set up division problems with decimals.

Let's set up this expression: 20.75 / 5 .

We learned in the lesson on division that dividing numbers is easier when the expression is written a little differently.

As usual, instead of writing the numbers side by side with a division symbol ...

As usual, instead of writing the numbers side by side with a division symbol ...we'll use the division bracket .

The number we're dividing goes under the division bracket. That's 20.75.

To the left of the division bracket, we'll write the number we're dividing by. In our problem, it's 5 .

Remember, the division bracket is also an equals sign .

The quotient , or answer, is written above it.

Let's set up another expression. This time, both numbers are decimal numbers: 80.1 / 4.2 .

First, we'll write the division bracket.

Next, we'll write the number being divided: 80.1 .

Finally, we'll write the number we're dividing by: 4.2 .

Since we're dividing a decimal number by a decimal number, there's one more step we need to do.

To make division easier, we'll change the the number we're dividing by into a whole number . This means we'll change 4.2 .

To make 4.2 a whole number, we'll need to move the decimal point so it comes after the last digit in the number.

This means we'll move it so it comes after the 2 .

Now all of the digits are to the left of the decimal point. We've created a whole number. 4.2 becomes 42 .

A whole number is usually written without a decimal point after it...

A whole number is usually written without a decimal point after it...so we'll drop the decimal point.

See how we did that? We moved the decimal point to the right and then dropped the decimal point.

Since we moved the decimal point in one number...

Since we moved the decimal point in one number...we'll also need to move the decimal point in the other number: 80.1 .

So we'll move this decimal point the same number of times .

80.1 becomes 801 .

801 is a whole number, so we'll drop the decimal point .

Now the division expression is 801 / 42 .

Moving decimals can be tricky, so it's important to change the number you're dividing by into a whole number first.

Let's try it one more time with a different expression: 0.4 / 0.02 .

First, we'll change 0 .02 into a whole number.

We'll move the decimal point one time to the right .

0.02 becomes 0.2 .

We still have a digit to the right of the decimal point: 2 . This means our decimal isn't a whole number yet.

So we'll move the decimal point to the right a second time.

0.2 becomes 2 . All of the digits are now to the left of the decimal point.

The zeroes and the decimal point are no longer needed. We'll drop them.

Since we moved the first decimal point two times to the right...

Since we moved the first decimal point two times to the right...we'll do the same to the second decimal point.

We'll move it one time...

We'll move it one time...then we'll add a zero ...

We'll move it one time...then we'll add a zero ...and then we'll move it a second time.

0.4 becomes 40 .

Since 40 is a whole number, we'll drop the zero and the decimal point.

The division expression is now 40 / 2 . Our problem is ready to be solved.

Dividing decimal numbers

In the previous slideshow, you practiced setting up division expressions with decimal numbers. Let's take a closer look at how to divide a decimal. Dividing a decimal number is a lot like dividing a whole number . There's just one extra step at the end.

Click through the slideshow to learn how to divide decimals.

We'll use long division to solve this problem: 6.5 / 2 .

We learned in the lesson on long division that when solving a long division problem, we'll follow a pattern until the problem is complete.

We'll begin with the left digit under the division bracket. This means we'll start with the 6 ...

We'll begin with the left digit under the division bracket. That means we'll start with the 6. ..and we'll figure out how many times it can be divided by 2 .

We'll use the times table to help us. Remember, if you need to review how to use the times table, you can revisit the lesson on multiplication . Now it's time to solve 6 / 2 .

6 / 2 = 3 .

We'll write 3 above the 6 .

Next, we'll multiply the 3 and 2 .

3 x 2 = 6 .

We'll write 6 below the 6 .

Next, we'll set up our subtraction problem.

6 - 6 = 0 . We'll write 0 below the line.

Now, we'll bring the 5 down and rewrite it next to the 0 .

05 means the same as 5 . 5 is large enough to be divided, so we'll figure out how many times 5 can be divided by 2 .

In the 2's column, we'll look for the number that's the closest to 5 but no larger than 5 . That's 4 .

4 is in the 2's row. That means 2 goes into 5 two times.

We'll write 2 above the 5 .

Now it's time to multiply the 2 and 2 .

2 x 2 = 4 .

We'll write 4 beneath the 5 .

Now it's time to set up our subtraction problem.

5 - 4 = 1 . We'll write 1 beneath the line.

Since our answer to the subtraction problem is 1 , we'll look under the bracket to see if there is another digit we can bring down.

There are no more digits for us to bring down. We learned in the long division lesson that we can write a zero next to the number under the division bracket.

So next to 6.5 we'll write 0 .

Now we can continue solving this problem. We'll bring the 0 down and rewrite it next to the 1 .

Let's see how many times 10 can be divided by 2 .

In the 2's column, we'll look for the number that's the closest to 10 but no larger than 10 . There's a 10 in the 2's column. That's exactly what we need!

10 is located in the 5's row. This means 2 goes into 10 five times.

We'll write 5 above the 0 .

Now it's time to multiply the 5 and 2 .

5 x 2 = 10 .

We'll write 10 beneath the 10 .

Next, we'll set up the subtraction problem.

Now it's time to solve. 10 - 10 = 0 .

Since the answer to the subtraction problem is 0 and there are no more digits to bring down, we're done dividing. There's just one last step we need to do.

In this problem, we divided a decimal number: 6.5 . This means our quotient , or answer, will have a decimal point.

We'll simply write a decimal point directly above the other decimal point. See where we put it between the 3 and 2 ?

We've completed the problem. The quotient is 3.25 . So 6.5 / 2 = 3.25 . We can read this as three and twenty-five-hundredths .

Find the quotient for each of the long division problems below. Check your answer by typing it in the box.

/en/decimals/converting-percentages-decimals-and-fractions/content/

Multiplying Decimals

Multiplying decimals is very important when we talk about the grouping of items. Suppose you have to distribute 0.25 part of a chocolate bar to each child and there is a total of 12 children. How many chocolate bars would you need? To find the number of chocolate bars required, we have to multiply 12 by 0.25. Multiplication of decimals is done by ignoring the decimal point and multiply the numbers, and then the number of decimal places in the product is equal to the total number of decimal places in both the given numbers.

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2.
3.
4.

How to Multiply Decimals?

Multiplying Decimals has the same procedure as that of multiplication of the whole numbers, except the placement of the decimal point in the product. In our everyday life, we have come across various instances where we have to use the multiplication operation on two numbers out of which at least one or both are decimal numbers. Imagine going out with your friend for lunch. You both order a platter costing $6.75 each. The total bill amounts to $15.75, including the taxes. To calculate the total cost of the platter in the bill, you need to multiply $6.75 × 2. Similarly, suppose you plan to gift your mother a flower bouquet on her birthday. Each flower costs $0.75 and you buy a total of 6 flowers. To find the total cost of the bouquet, you need to multiply $0.75 × 6. The above examples follow the application of multiplying decimals.

Multiplying Decimals with Whole Numbers

Multiplying decimals with whole numbers is similar to the multiplication of whole numbers , the only difference being in the placement of the decimal point. The following steps can be followed to multiply decimals with whole numbers:

• Step 1: Initially, ignore the decimal point and multiply the two numbers normally.
• Step 2: After multiplication, count the number of decimal places in the decimal number. The product obtained after multiplication will have the same number of decimal places.
• Step 3: Place the decimal point in the obtained product following Step 2 .

Let us understand a real-life situation of multiplying decimal numbers with whole numbers. A class of 15 students decided to contribute to a relief fund. Each student made a contribution of $6.5. What was the total amount collected from the whole class? Here, the contribution made by one student = $6.5. Total contribution made by 15 students = 6.5 × 15= $97.5.

Multiplying Decimals by 10 100 and 1000

While multiplying any decimal by 10, 100, 1000, or any other power of 10, we just simply shift the decimal point towards the right as many places as the number of zeros in the power of 10.

• If we multiply a decimal by 10, we shift the decimal point one place towards the right, as there is 1 zero in the number 10.
• If we multiply any decimal by 100, we shift the decimal point two places towards the right.
• Similarly, if we multiply a decimal by 1000, we shift the decimal point by three places towards the right, and so on.

For example, 2.32 × 10 = 23.2, 2.32 ×100 = 232, 2.32 × 1000= 2320.

Multiplying Two Decimals Numbers

This section will help you to learn about the multiplication of two decimal numbers. It is the same as that of the whole number, but the only difference is that in this we have to take the sum of the total number of decimal places in both the given numbers and that needs to be equal to the number of decimal places in the product . To multiply two decimals, follow the steps listed below:

• Step 2: After multiplication, count the total number of decimal places in both the numbers. The product obtained after multiplication will have this total number of decimal places.

Let us see the multiplication of two decimal numbers in the image given below:

Examples of Multiplying Decimals:

1. Multiply 0.567 and 13.065

Therefore, 0.567 × 13.065 = 7.407855. There are 6 digits after the decimal point.

2. Find the product of 16.45 and 8.5

Therefore, 16.45 × 8.5 = 139.825. The product has 3 digits after the decimal point.

Important Notes:

These are few important notes related to the concept of multiplying decimals. Have a look!

• The decimal multiplication follows the same procedure as the multiplication of whole numbers.
• The decimal point should be placed in the product in such a way that, the product has a number of decimal places equal to the sum of decimal places of all the multiplicands and the multipliers.
• Make sure you keep all the zeros in the product while placing the decimal point.
• If the product has more decimal places than the number of digits, zeros can be inserted on the left before placing the decimal point in the product.
• The trailing zeros in the resultant product can be dropped.

Try and Solve these Challenging Questions:

• Charlie is paid $17.45 per hour and worked 42.5 hours last week. How much money did he earn last week (rounded to the nearest cent)?
• What is the total distance covered by a car if it traveled with a speed of 31.5 miles/hour for 7 hours and 15 minutes?

Multiplying Decimals Related Topics

Check these articles related to multiplying decimals.

• Dividing Decimals Calculator
• Adding Decimals Calculator
• Decimals and Fractions
• How to Add Decimals?
• Dividing Decimals
• Addition and Subtraction of Decimals

Multiplying Decimals Examples

Example 1: Rose is learning decimal multiplication. Can you help her multiply 0.6748 with 14.945?

Let's see how to multiply 0.6748 and 14.945.

Note: The trailing zeros can be dropped. Therefore, 0.6748 × 14.945 = 10.084886.

Example 2: Gracy went to the grocery store with her mother. Her mother bought 15 apples costing $1.25 each. Help Gracy to calculate the amount her mother needs to pay by using the concept of multiplying decimals.

We have, cost of one apple = $1.25. Thus, cost of 15 apples = $1.25 × 15. Therefore, the cost of 15 apples is $18.75.

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Practice Questions on Multiplying Decimals

Faqs on multiplying decimals, how do you multiply a decimal number by a whole number.

To multiply a decimal number by a whole number, follow the steps given below:

• Step-1: Ignore the decimal point and multiply both the numbers.
• Step-2: Count the number of decimal places in the decimal number.
• Step-3: Then, place the decimal point in the product such that the number of decimal places in the product and the original decimal number should be the same.

How do you Multiply Decimals by 1000?

To multiply decimals with 1000, shift the decimal point three places towards the right, as there are three zeroes in 1000.

How to Teach Multiplying Decimals?

Let us see how to teach decimal multiplication to learners through the following ways:

• First, make students understand the meaning of decimal multiplication with the help of demonstration and visualization.
• Second, introduce the steps to multiply two decimal numbers to the students.
• Give practice questions.

What is the Rule of Multiplying Decimals?

The multiplying decimals rules are given below:

Rules for Multiplication of Decimals:

• Perform multiplication in a similar way as with whole numbers.
• If the product has more decimal places than the number of digits, zeros can be inserted before placing the decimal point in the product such that only one zero will be there at the left of the decimal point and the decimal places in the product will be equal to the total number of decimal places in both the numbers.
• The trailing zeros in the fractional part of the resultant product can be dropped.

How do you Multiply Decimals Less Than 1?

To multiply two decimals less than 1, follow the steps given below:

• Step 1: Initially, Ignore the decimal point and multiply the two numbers normally.
• Step 2: After multiplication, count the total number of decimal places in multiplicand and the multiplier. The product obtained after multiplication will have this total number of decimal places.
• Step 3: Place the decimal point in the obtained product following Step2 .

For example: 0.2 × 0.4 = 0.08.

How do you Multiply Positive and Negative Decimals?

Positive and negative decimals are multiplied in a similar way as two decimals.

• Multiply both the numerical parts as we do in normal decimal multiplication.
• Since the product of one negative number and one positive number is negative, thus retain the negative sign before the numerical part of the product hence obtained.

For example, -0.5 × 0.3 = -0.15.

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Course: 5th grade   >   Unit 8

• Estimating decimal multiplication
• Estimating with multiplying decimals
• Developing strategies for multiplying decimals
• Decimal multiplication with grids
• Represent decimal multiplication with grids and area models
• Understanding decimal multiplication
• Multiplying decimals using estimation

Understand multiplying decimals

• (Choice A)   2.3998 ‍   A 2.3998 ‍  
• (Choice B)   23.998 ‍   B 23.998 ‍  
• (Choice C)   239.98 ‍   C 239.98 ‍  
• (Choice D)   2,399.8 ‍   D 2,399.8 ‍  

Multiplication with Decimals and Some Examples

Have you learned how to multiply with decimals yet? Today we are going to review three different cases of multiplication with decimals.

Multiplication with decimals and whole numbers

In this case, we are multiply ing a decimal by another number without decimals, as in the example:

• Step 1: We place both numbers so that the longer factor is on the top and the shorter factor is on the bottom.

• Step 2: We solve the multiplication problem as we normally would with whole numbers.  Afterward, we count the digits that come after the decimal point in the decimal and we place the decimal point in the answer so that it has the same number of decimal places after it as in the decimal in the factor position .

Multiplication when both factors are decimals

In this case, both factors are decimals:

• Step 1: As in the previous case, the first thing we have to do is to place the numbers so that the longer factor is on the top and the shorter factor is on the bottom.

• Step 2: We solve the multiplication problem as we normally would with whole numbers.  Afterward, we count the digits that come after the decimal points in both factors.  The answer should have as many decimal places as can be found in both factors combined.

Multiplication with decimals and a whole number ending in zero

In this case, the whole number factor ends in zero.

• Step 1: We break down the number into another number multiplied by 10:

• Step 2: We multiply the decimal by 10 (thereby getting rid of a decimal place).

• Step 3: We place the numbers and now we can multiply a decimal number by a whole number.

Multiplication with decimals is easy, isn’t it?

Have you learned about multiplication with decimals? Feel free to share this post with your friends and colleagues so that they too can learn. And remember that in order to learn these calculations and much more like LCM calculation it is best to sign up on Smartick and try it for free!

Learn More:

• Multiplication with Decimal Numbers
• Learn and Practice How to Divide Decimals
• Working with Decimals: Addition and Subtraction
• How to Multiply by 2 and 3 Digit Numbers
• Multiplying and Dividing Decimal Numbers by Powers of 10
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How do you calculate addition, subtraction, multiplication and division of decimals

Well….. You see it’s like a normal way of doing it

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Multiplying Decimals Word Problems Worksheets

• Pre-Algebra >
• Decimals >
• Multiplication >

If children and our printable multiplying decimals word problems worksheets have found harmony with each other, children and a desire to excel have found harmony with each other. The promise is an inexhaustible supply of real-world problems on decimal multiplication! Make the most of the resources presenting you with umpteen real-life scenarios on multiplying decimals by whole numbers and multiplying two decimals. Read the scenarios, boil them down to the multiplicand and multiplier, and determine the product. Get ready to tackle this pdf collection! Dive into practice with our free worksheet.

Multiplying Decimals by Whole Numbers Word Problems | Customary

Lucy dropped $0.67 into a charity box. If James dropped six times the money, how much did he donate? It's $4.02. These exercises, featuring decimals and whole numbers with customary units, have more such questions.

Multiplying Decimals by Whole Numbers Word Problems | Metric

Can you imagine money, measurement, and more without decimals? The answer is a resounding "No". Let grade 5 and grade 6 kids tackle word problems involving decimals, whole numbers, and metric units.

Multiplying Decimals Word Problems | Customary

Watch grade 7 learners tackle multiplying decimals with different decimal places. Show off your skills by solving these printable multiplying decimals word problems worksheets featuring customary units.

Multiplying Decimals Word Problems | Metric

The more you practice these printable worksheets, the smarter you become at figuring out problems on multiplying two decimals. Be mindful of placing the decimal point in the product. These exercises feature metric units.

Related Printable Worksheets

▶ Multiplying Decimals Using Number Lines

▶ Multiplying Decimals by Powers of Ten

▶ Multiplying Decimals by Whole Numbers

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Printable Decimal Multiplication Word Problems Worksheets

Are you looking to boost your child's math skills with engaging challenges? Our decimal multiplication word problems worksheets are perfect for elementary grades. They cover essential skills like multiplying decimal numbers by whole numbers, multiplying two decimal numbers with 2 decimal places, and more. The ... Read more se worksheets enhance problem-solving and critical thinking abilities, making math fun and effective. Start now for free!

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Multiply Decimal Numbers by 10, 100 or 1000: Summer Word Problems Worksheet

Summer-themed worksheet for students to practice multiplying decimal numbers by 10, 100, or 1,000.

Multiply Decimal Numbers by 10, 100 or 1000: Halloween Word Problems Worksheet

Halloween-themed worksheet for solving word problems on multiplying decimals by 10, 100 or 1,000.

Multiply Decimal Numbers by 10, 100 or 1000: Christmas Word Problems Worksheet

Engaging Christmas-themed worksheet to enhance students' skills in multiplying decimal numbers by 10, 100, or 1,000.

Multiply Decimal Numbers by 10, 100 or 1000: Shopping Word Problems Worksheet

Engaging worksheet with a shopping theme to practice multiplying decimal numbers by 10, 100 or 1,000.

Multiply Decimal Numbers by 10, 100 or 1000: Travel Word Problems Worksheet

Travel-themed worksheet that makes multiplying decimals by 10, 100, or 1,000 a fun expedition!

Multiply Decimal Numbers by 10, 100 or 1000: Sports Word Problems Worksheet

Sports-themed worksheet for mastering decimal multiplication by 10, 100, or 1,000 with word problems.

Multiply Decimal Numbers by 10, 100 or 1000: Cooking Word Problems Worksheet

Cooking-themed worksheet to practice multiplying decimal numbers by 10, 100 or 1,000!

Multiply Decimal Numbers by 10, 100 or 1000: Winter Word Problems Worksheet

Boost decimal multiplication skills with this winter-themed worksheet on multiplying by 10, 100, or 1,000.

Multiply Decimal Numbers by Whole Numbers: Summer Word Problems Worksheet

Summer-themed worksheet for students to practice multiplying decimal numbers by whole numbers.

Multiply Decimal Numbers by Whole Numbers: Halloween Word Problems Worksheet

Spooky-themed worksheet to enhance skills on multiplying decimals with whole numbers.

Multiply Decimal Numbers by Whole Numbers: Christmas Word Problems Worksheet

Enjoy a festive math worksheet, multiplying decimal numbers by whole numbers with a Christmas twist!

Multiply Decimal Numbers by Whole Numbers: Shopping Word Problems Worksheet

This worksheet lets students practice multiplying decimals by whole numbers through shopping-themed problems.

Multiply Decimal Numbers by Decimal Numbers: Shopping Word Problems Worksheet

Engaging worksheet that combines shopping theme with multiplying decimal numbers exercises.

Multiply Two Decimal Numbers with 1 Decimal Places: Shopping Word Problems Worksheet

Engaging worksheet on shopping-themed multiplication problems with 1-decimal place numbers.

Multiply Decimal Numbers with 2 Decimal Places by Decimal Numbers with 1 Decimal Place: Shopping Word Problems Worksheet

Solve shopping-themed problems by multiplying 2-place and 1-place decimal numbers in this worksheet.

Multiply Two Decimal Numbers with 2 Decimal Places: Shopping Word Problems Worksheet

Engaging worksheet for students to multiply two decimal numbers in a shopping-themed scenario.

Multiply Decimal Numbers by Whole Numbers: Travel Word Problems Worksheet

Travel-themed worksheet for solving word problems involving multiplication of decimals by whole numbers.

Multiply Decimal Numbers by Decimal Numbers: Travel Word Problems Worksheet

Travel-themed worksheet challenging students to solve word problems by multiplying decimal numbers.

Multiply Two Decimal Numbers with 1 Decimal Places: Travel Word Problems Worksheet

Engaging worksheet for students to practice multiplying two decimal numbers within travel-themed scenarios.

Multiply Decimal Numbers with 2 Decimal Places by Decimal Numbers with 1 Decimal Place: Travel Word Problems Worksheet

Travel-themed worksheet featuring word problems on multiplying 2-place and 1-place decimal numbers.

Multiply Two Decimal Numbers with 2 Decimal Places: Travel Word Problems Worksheet

Travel-themed worksheet for students to practice multiplying two decimal numbers with 2 decimal places.

Multiply Decimal Numbers by Whole Numbers: Cooking Word Problems Worksheet

Fun, cooking-themed worksheet for students to practice multiplying decimals with whole numbers!

Multiply Decimal Numbers by Decimal Numbers: Cooking Word Problems Worksheet

This worksheet involves solving word problems related to cooking that require multiplying decimal numbers.

Multiply Two Decimal Numbers with 1 Decimal Places: Cooking Word Problems Worksheet

Fun cooking-themed worksheet for practicing multiplication with two 1-decimal place numbers!

Multiply Decimal Numbers with 2 Decimal Places by Decimal Numbers with 1 Decimal Place: Cooking Word Problems Worksheet

Cooking-themed worksheet for mastering multiplication of 2-decimal and 1-decimal numbers.

Multiply Two Decimal Numbers with 2 Decimal Places: Cooking Word Problems Worksheet

Cooking-themed worksheet on multiplying two decimal numbers with 2 decimal places.

Multiply Decimal Numbers by Whole Numbers: Winter Word Problems Worksheet

Winter-themed worksheet to boost skills in multiplying decimals with whole numbers through word problems.

Multiply Decimal Numbers by Whole Numbers: Thanksgiving Word Problems Worksheet

Thanksgiving-themed worksheet to help students solve word problems involving multiplying decimals by whole numbers.

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Mixed decimals word problems

Add, subtract and multiply decimals.

These grade 5 math word problems involve the addition, subtraction and multiplication of decimal numbers with one or two decimal digits . Some problems may have more than 2 terms, include superfluous data or require the conversion of fractions with denominators of 10 or 100.

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Decimal Worksheets Hub Page

Welcome to our Decimal Worksheets area.

On this page, there are links to all of our decimal math worksheets, including decimal place value, decimal money worksheets and our adding, subtracting, multiplying and dividing decimals pages.

We also have some decimal resources including decimal place value charts to support teaching and learning of decimals.

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• This page contains links to other Math webpages where you will find a range of activities and resources.
• If you can't find what you are looking for, try searching the site using the Google search box at the top of each page.

Decimal Worksheets

On this page you will find link to our range of decimal math worksheets.

Quicklinks to...

• Decimal Place Value Charts

Decimal Place Value Worksheets

Rounding decimals.

• Couting in decimals

Decimal Addition

• Decimal Subtraction
• Decimal Multiplication
• Decimal Division

Converting Decimals

These decimal place value charts are designed to help children understand decimal place value.

They are especially useful in learning how to multiply and divide decimals by 10 or 100.

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Here you will find our selection of Place Value involving Decimals with up to 2 decimal places (2dp).

Using these sheets will help your child learn to:

• learn their place value with decimals up to 3dp;
• understand the value of each digit in a decimal number;
• learn to read and write numbers with up to 3dp.
• Decimal Place Value Worksheets to 2dp
• Decimal Place Value to 3dp
• Ordering Decimals Worksheets
• Decimal Number Line Worksheets
• Rounding to the nearest tenth
• Rounding Decimal Places Sheets to 2dp
• Rounding Decimals Worksheet Challenges

Decimal Counting Worksheets

Using these sheets will support you child to:

• count on and back by multiples of 0.1;
• fill in the missing numbers in sequences;
• finding number bonds to 1 with numbers to 1dp, 2dp or 3dp.
• Counting By Decimals
• Decimal Number Bonds to 1
• Decimal Money Column Addition 4th Grade
• Decimal Column Addition 5th Grade

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Decimal Subtraction Worksheets

• Money Subtraction Worksheets ($)
• Decimal Subtraction Worksheets (columns)

Decimal Multiplication Worksheets

These sheets are designed for 4th and 5th graders.

• Multiplying Decimals by 10 and 100
• Multiply and Divide by 10 100 (decimals)

These sheets are designed for 5th graders to develop mental multiplication skills.

• Multiplying Decimals by Whole Numbers
• Decimal Long Multiplication Worksheets to 1dp
• Decimal Long Multiplication Worksheets to 2dp

Decimal Division Worksheets

• Decimal Division Facts
• Long Division of Decimal Numbers
• Convert Fractions to Decimal Sheets
• Convert Decimal to Fraction Support
• Converting Decimals to Fractions Worksheets
• Fractions Decimals Percents Worksheets

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The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

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