Decimals Worksheets

Further down the page, rounding, comparing and ordering decimals worksheets allow students to gain more comfort with decimals before they move on to performing operations with decimals. There are many operations with decimals worksheets throughout the page. It would be a really good idea for students to have a strong knowledge of addition, subtraction, multiplication and division before attempting these questions. At the end of the page, you will find decimal numbers used in order of operations questions.

Most Popular Decimals Worksheets this Week

Multiplying 3-Digit by 2-Digit Numbers with Various Decimal Places

General Use Printables

General use decimal printables are used in a variety of contexts and assist students in completing math questions related to decimals.

Grids and charts useful for learning decimals

multiplication and division decimals worksheets pdf

The thousandths grid is a useful tool in representing decimals. Each small rectangle represents a thousandth. Each square represents a hundredth. Each row or column represents a tenth. The entire grid represents one whole. The hundredths grid can be used to model percents or decimals. The decimal place value chart is a tool used with students who are first learning place value related to decimals or for those students who have difficulty with place value when working with decimals.

Expanded Form with Decimals

Expanded form with decimals worksheets including converting from standard to expanded form and from expanded form to standard form.

Writing standard form decimal numbers in expanded form

multiplication and division decimals worksheets pdf

For students who have difficulty with expanded form, try familiarizing them with the decimal place value chart, and allow them to use it when converting standard form numbers to expanded form. There are actually five ways (two more than with integers) to write expanded form for decimals, and which one you use depends on your application or preference. Here is a quick summary of the various ways using the decimal number 1.23. 1. Expanded Form using decimals: 1 + 0.2 + 0.03 2. Expanded Form using fractions: 1 + 2 ⁄ 10 + 3 ⁄ 100 3. Expanded Factors Form using decimals: (1 × 1) + (2 × 0.1) + (3 × 0.01) 4. Expanded Factors Form using fractions: (1 × 1) + (2 × 1 ⁄ 10 ) + (3 × 1 ⁄ 100 ) 5. Expanded Exponential Form: (1 × 10 0 ) + (2 × 10 -1 ) + (3 × 10 -2 )

Writing expanded form decimal numbers in standard form

multiplication and division decimals worksheets pdf

Of course, being able to convert numbers already in expanded form to standard form is also important. All five versions of decimal expanded form are included in these worksheets.

Rounding Decimals Worksheets

Rounding decimals worksheets with options for rounding a variety of decimal numbers to a variety of places.

Rounding decimals

multiplication and division decimals worksheets pdf

Rounding decimals is similar to rounding whole numbers; you have to know your place value! When learning about rounding, it is also useful to learn about truncating since it may help students to round properly. A simple strategy for rounding involves truncating, using the digits after the truncation to determine whether the new terminating digit remains the same or gets incremented, then taking action by incrementing if necessary and throwing away the rest. Here is a simple example: Round 4.567 to the nearest tenth. First, truncate the number after the tenths place 4.5|67. Next, look at the truncated part (67). Is it more than half way to 99 (i.e. 50 or more)? It is, so the decision will be to increment. Lastly, increment the tenths value by 1 to get 4.6. Of course, the situation gets a little more complicated if the terminating digit is a 9. In that case, some regrouping might be necessary. For example: Round 6.959 to the nearest tenth. Truncate: 6.9|59. Decide to increment since 59 is more than half way to 99. Incrementing results in the necessity to regroup the tenths into an extra one whole, so the result is 7.0. Watch that students do not write 6.10. You will want to correct them right away in that case. One last note: if there are three truncated digits then the question becomes is the number more than half way to 999. Likewise, for one digit; is the number more than half way to 9. And so on...

We should also mention that in some scientific and mathematical "circles," rounding is slightly different "on a 5". For example, most people would round up on a 5 such as: 6.5 --> 7; 3.555 --> 3.56; 0.60500 --> 0.61; etc. A different way to round on a 5, however, is to round to the nearest even number, so 5.5 would be rounded up to 6, but 8.5 would be rounded down to 8. The main reason for this is not to skew the results of a large number of rounding events. If you always round up on a 5, on average, you will have slightly higher results than you should. Because most pre-college students round up on a 5, that is what we have done in the worksheets that follow.

Comparing and Ordering Decimals Worksheets

Comparing and ordering decimals worksheets to help students recognize ordinality in decimal numbers.

The comparing decimals worksheets have students compare pairs of numbers and the ordering decimals worksheets have students compare a list of numbers by sorting them.

Comparing decimals worksheets.

multiplication and division decimals worksheets pdf

Students who have mastered comparing whole numbers should find comparing decimals to be fairly easy. The easiest strategy is to compare the numbers before the decimal (the whole number part) first and only compare the decimal parts if the whole number parts are equal. These sorts of questions allow teachers/parents to get a good idea of whether students have grasped the concept of decimals or not. For example, if a student thinks that 4.93 is greater than 8.7, then they might need a little more instruction in place value. Close numbers means that some care was taken to make the numbers look similar. For example, they could be close in value, e.g. 3.3. and 3.4 or one of the digits might be changed as in 5.86 and 6.86.

Ordering or sorting decimal numbers

multiplication and division decimals worksheets pdf

Ordering decimals is very much like comparing decimals except there are more than two numbers. Generally, students determine the least (or greatest) decimal to start, cross it off the list then repeat the process to find the next lowest/greatest until they get to the last number. Checking the list at the end is always a good idea.

Converting Decimals to Fractions and other Number Formats

Converting decimals worksheets mainly for converting between decimals and fractions but also to percents and ratios.

Converting decimals to fractions and other number formats

multiplication and division decimals worksheets pdf

There are many good reasons for converting decimals to other number formats. Dealing with a fraction in operations is often easier than the equivalent decimal. Consider 0.333... which is equivalent to 1/3. Multiplying 300 by 0.333... is difficult, but multiplying 300 by 1/3 is super easy! Students should be familiar with some of the more common fraction/decimal conversions, so they can switch back and forth as needed.

Adding and Subtracting Decimals Worksheets

Adding and subtracting decimals worksheets with various difficulties including adding and subtracting by themselves and also mixed on the page.

Adding Decimals

multiplication and division decimals worksheets pdf

Try the following mental addition strategy for decimals. Begin by ignoring the decimals in the addition question. Add the numbers as if they were whole numbers. For example, 3.25 + 4.98 could be viewed as 325 + 498 = 823. Use an estimate to decide where to place the decimal. In the example, 3.25 + 4.98 is approximately 3 + 5 = 8, so the decimal in the sum must go between the 8 and the 2 (i.e. 8.23)

Subtracting decimals worksheets

multiplication and division decimals worksheets pdf

Base ten blocks can be used for decimal subtraction. Just redefine the blocks, so the big block is a one, the flat is a tenth, the rod is a hundredth and the little cube is a thousandth. Model and subtract decimals using base ten blocks, so students can "see" how decimals really work.

Horizontally arranged adding and subtracting decimals worksheets

multiplication and division decimals worksheets pdf

Adding and subtracting decimals is fairly straightforward when all the decimals are lined up. With the questions arranged horizontally, students are challenged to understand place value as it relates to decimals. A wonderful strategy for placing the decimal is to use estimation. For example if the question is 49.2 + 20.1, the answer without the decimal is 693. Estimate by rounding 49.2 to 50 and 20.1 to 20. 50 + 20 = 70. The decimal in 693 must be placed between the 9 and the 3 as in 69.3 to make the number close to the estimate of 70.

The above strategy will go a long way in students understanding operations with decimals, but it is also important that they have a strong foundation in place value and a proficiency with efficient strategies to be completely successful with these questions. As with any math skill, it is not wise to present this to students until they have the necessary prerequisite skills and knowledge.

Multiplying and Dividing Decimals Worksheets

Multiplying and dividing decimals worksheets with a variety of difficulty levels.

Multiplying decimals by whole numbers

multiplication and division decimals worksheets pdf

Multiplying decimals by whole numbers is very much like multiplying whole numbers except there is a decimal to deal with. Although students might initially have trouble with it, through the power of rounding and estimating, they can generally get it quite quickly. Many teachers will tell students to ignore the decimal and multiply the numbers just like they would whole numbers. This is a good strategy to use. Figuring out where the decimal goes at the end can be accomplished by counting how many decimal places were in the original question and giving the answer that many decimal places. To better understand this method, students can round the two factors and multiply in their head to get an estimate then place the decimal based on their estimate. For example, multiplying 9.84 × 91, students could first round the numbers to 10 and 91 (keep 91 since multiplying by 10 is easy) then get an estimate of 910. Actually multiplying (ignoring the decimal) gets you 89544. To get that number close to 910, the decimal needs to go between the 5 and the 4, thus 895.44. Note that there are two decimal places in the factors and two decimal places in the answer, but estimating made it more understandable rather than just a method.

Multiplying by decimal numbers

multiplication and division decimals worksheets pdf

Multiplying decimals in various ranges

multiplication and division decimals worksheets pdf

Dividing decimals by whole numbers

multiplication and division decimals worksheets pdf

Dividing with quotients that work out nicely

multiplication and division decimals worksheets pdf

In case you aren't familiar with dividing with a decimal divisor, the general method for completing questions is by getting rid of the decimal in the divisor. This is done by multiplying the divisor and the dividend by the same amount, usually a power of ten such as 10, 100 or 1000. For example, if the division question is 5.32/5.6, you would multiply the divisor and dividend by 10 to get the equivalent division problem, 53.2/56. Completing this division will result in the exact same quotient as the original (try it on your calculator if you don't believe us). The main reason for completing decimal division in this way is to get the decimal in the correct location when using the U.S. long division algorithm.

A much simpler strategy, in our opinion, is to initially ignore the decimals all together and use estimation to place the decimal in the quotient. In the same example as above, you would complete 532/56 = 95. If you "flexibly" round the original, you will get about 5/5 which is about 1, so the decimal in 95 must be placed to make 95 close to 1. In this case, you would place it just before the 9 to get 0.95. Combining this strategy with the one above can also help a great deal with more difficult questions. For example, 4.584184 ÷ 0.461 can first be converted the to equivalent: 4584.184 ÷ 461 (you can estimate the quotient to be around 10). Complete the division question without decimals: 4584184 ÷ 461 = 9944 then place the decimal, so that 9944 is about 10. This results in 9.944.

Dividing decimal numbers doesn't have to be too difficult, especially with the worksheets below where the decimals work out nicely. To make these worksheets, we randomly generated a divisor and a quotient first, then multiplied them together to get the dividend. Of course, you will see the quotients only on the answer page, but generating questions in this way makes every decimal division problem work out nicely.

Horizontally arranged decimal division

multiplication and division decimals worksheets pdf

These worksheets would probably be used for estimating and calculator work.

Order of Operations with Decimals Worksheets

Order of operations with decimals.

multiplication and division decimals worksheets pdf

The order of operations worksheets in this section actually reside on the Order of Operations page, but they are included here for your convenience.

Order of Operations with Comma Decimals

multiplication and division decimals worksheets pdf

Order of operations with decimals & fractions mixed

multiplication and division decimals worksheets pdf

Copyright © 2005-2023 Math-Drills.com You may use the math worksheets on this website according to our Terms of Use to help students learn math.

Home

Reading & Math for K-5

Breadcrumbs

Multiplying decimals

Decimals Workbook for Grades 5-6

Download & Print Only $8.00

Math worksheets: Multiplying decimal by decimals (1 or 2 decimal digits)

Below are six versions of our grade 5 math worksheet on multiplying two decimal numbers by each other; all multiplicands have 1 or 2 decimal digits. These worksheets are pdf files .

multiplication and division decimals worksheets pdf

These worksheets are available to members only.

Join K5 to save time, skip ads and access more content. Learn More

More decimals worksheets

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

What is K5?

K5 Learning offers free worksheets , flashcards  and inexpensive  workbooks  for kids in kindergarten to grade 5. Become a member  to access additional content and skip ads.

multiplication and division decimals worksheets pdf

Our members helped us give away millions of worksheets last year.

We provide free educational materials to parents and teachers in over 100 countries. If you can, please consider purchasing a membership ($24/year) to support our efforts.

Members skip ads and access exclusive features.

Learn about member benefits

This content is available to members only.

Multiplying and Dividing Decimals Worksheets

Multiplying and dividing decimals worksheets aim at teaching the students in dealing with multiplication and division of decimals which is an essential concept in math. Decimals are used everywhere and these worksheets will provide an in depth approach in understanding them with the help of the variety of questions and also the self explanatory answer keys.

Benefits of Multiplying and Dividing Decimals Worksheets

Multiplying and dividing decimals worksheets will benefit the students greatly in understanding how to solve multiplication of decimals as well as division. Multiplication and division with decimals at times get confusing for kids, but these worksheets will present the essential tips and tricks to do the same which will help the students in quicker calculations.Also these multiplying and dividing decimals worksheets can be printed as per convenience and are free to download.

Download Multiplying and Dividing Decimals Worksheet PDFs

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

☛ Check Grade wise Multiplying and Dividing Decimals Worksheets

Interactive resources you can assign in your digital classroom from TPT.

multiplication and division decimals worksheets pdf

Easel Activities

multiplication and division decimals worksheets pdf

Easel Assessments

Unlock access to 4 million resources — at no cost to you — with a school-funded subscription..

multiplying and dividing decimals worksheets

All Formats

Resource types, all resource types, results for multiplying and dividing decimals worksheets.

5th Grade Add Subtract Multiply and Dividing Decimals Worksheet Practice Set

5th Grade Add Subtract Multiply and Dividing Decimals Worksheet Practice Set

Mistakes Allow Thinking to Happen

Also included in:  5th Grade Math Worksheet BUNDLE

5th Grade Multiplying and Dividing Decimals Math Search Worksheets {5.NBT.7}

5th Grade Multiplying and Dividing Decimals Math Search Worksheets {5.NBT.7}

Games 4 Gains

Also included in:  5th Grade Math Worksheets for Math Centers, Homework, Morning Work & Review

Multiplying and Dividing Decimals Worksheets Powers of 10, Operations Test, Quiz

Multiplying and Dividing Decimals Worksheets Powers of 10, Operations Test, Quiz

Printables and Worksheets

Multiplying and Dividing Decimals Word Problems Maze (6.3E)

Big Math and Fries

Decimal Word Problems; Multiply, Divide, Add, Subtract and Multi-Step Decimals

Tied 2 Teaching

Also included in:  Fraction, Decimal, and Percent Word Problems Bundle

Multiplying & Dividing Decimals Worksheet - Maze Activity

Multiplying & Dividing Decimals Worksheet - Maze Activity

Amazing Mathematics

Also included in:  Decimal Operations Bundle

Menu Math Practice: Add, Subtract and Multiply Decimals Activity

Menu Math Practice: Add, Subtract and Multiply Decimals Activity

Ava Aycock

Multiplying and Dividing Decimals Made Easy (Bundled Unit) - Distance Learning

Mike's Math Mall

Multiply and Divide Decimals - Bingo, Task Cards, and Worksheets w/ Riddles!

The Teacher down the Hall

Multiplying and Dividing Decimals Error Analysis

Teaching With a Mountain View

Also included in:  Error Analysis Bundle

Multiplying and Dividing Decimals

Multiplying and Dividing Decimals

Route 22 Educational Resources

Multiplying and Dividing Decimals Worksheets (Word Problems) 5.NBT.7

Reincke's Education Store

Also included in:  Multiplying and Dividing Decimals Bundle (21 products) Save 40%!

5th Grade Multiplying Decimals Worksheets - Digital Review Activities 5.NBT.7

5th Grade Multiplying Decimals Worksheets - Digital Review Activities 5.NBT.7

Also included in:  5th Grade Math Operations Digital Worksheets & Review Activities - Google Slides

6th Grade Math Worksheets

6th Grade Math Worksheets

To the Square Inch- Kate Bing Coners

Multiplying Dividing Decimals and Fractions Digital Escape Room Google Forms

Absolute Algebra

Also included in:  Middle School Math Activities Bundle

7th Grade Math Worksheets

7th Grade Math Worksheets

Also included in:  Middle School Math Worksheets

5th Grade Multiplying Decimals by Whole Numbers Worksheets for Digital Review

5th Grade Multiplying Decimals by Whole Numbers Worksheets for Digital Review

5th Grade Decimal Place Value - Digital Math Worksheets & Review Activities

5th Grade Decimal Place Value - Digital Math Worksheets & Review Activities

Multiplication and Division Color-By-Numbers with Decimals

Multiplication and Division Color-By-Numbers with Decimals

Fabulously Fifth

Decimals unit: Guided Decimals Powerpoint lessons and worksheets

Mrs J's Resource Creations

5th Grade Math Spiral Review Worksheets | NBT Math Assessments | Decimals

Life Beyond the Gradebook

Multiplying and Dividing by Powers of 10 Including Decimals PDF & Digital

A Math Mission by Lisa Yeip

6th Grade Quiz - Adding, Subtracting, Multiplying and Dividing Decimals

Eli Burger

Also included in:  Whole Numbers and Decimals Unit Bundle for 6th Grade Math

Adding, Subtracting, Multiplying & Dividing Decimals Quiz or Review

Adding, Subtracting, Multiplying & Dividing Decimals Quiz or Review

trueblueteacher

TPT empowers educators to teach at their best.

Keep in Touch!

Are you getting the free resources, updates, and special offers we send out every week in our teacher newsletter?

IMAGES

  1. Multiplication Patterns With Decimals Worksheets / Multiply decimal numbers by fractions math

    multiplication and division decimals worksheets pdf

  2. Multiplication Of Decimals Worksheets Pdf : Splendi Multiplying And Dividing Decimals Worksheets

    multiplication and division decimals worksheets pdf

  3. Multiplication And Division Decimals Worksheets : Dividing Decimals by 2-Digit Tenths (A

    multiplication and division decimals worksheets pdf

  4. Multiplication And Division Of Decimals Worksheets Pdf

    multiplication and division decimals worksheets pdf

  5. Multiplication And Division Equations Worksheets 6th Grade

    multiplication and division decimals worksheets pdf

  6. Decimal Multiplication: Vertical

    multiplication and division decimals worksheets pdf

VIDEO

  1. How To Multiply 1 Digit Decimals #shorts #easy

  2. Recurring Decimal

  3. Ex 4 unit 4 class 4 math kpk and Panjab|Multiplication of decimals|Division of decimals|#maths

  4. दशमलव वाली संख्या का गुणा कैसे करें/how to multiple of decimal point#shorts#shortsvideo#youtubeshort

  5. Multiply and Divide decimals. 6th grade math

  6. Multiplying Decimals

COMMENTS

  1. Multiplying and Dividing Decimals

    Math Worksheets. Name: ______. Date: ______ … So Much More Online! Please visit: EffortlessMath.com. Multiplying and Dividing Decimals. ✍ Find the product.

  2. Decimals Worksheets

    Decimals worksheets from comparing and ordering decimals to rounding and operations with decimals. ... Multiplying and Dividing Decimals Worksheets.

  3. decimals-multiplying-and-dividing.pdf

    Read each question carefully before you begin answering it. 2. Donʼt spend too long on one question. 3. Attempt every question.

  4. Infinite Algebra 1

    Worksheet by Kuta Software LLC. Math 9. Multiplying & Dividing Decimals. Name___________________________________. ©z W2E0Q1R8` mKjustka^ CSqolfOtIw_aVr`et

  5. Multiplication of Decimals Worksheets

    5th grade multiplying decimals worksheets, including multiplying decimals by ... worksheets, from converting fractions to decimals to long division of

  6. Multiplying decimals

    Grade 5 math worksheets on multiplying decimals (1 or 2 digits). Free pdf worksheets from K5 Learning's online reading and math program.

  7. Multiplication, Division, Decimals, Fractions, Metric & Customary

    Multiplication, Division, Decimals, ... Bring down a zero and then multiply the tens digit ... Write out the long division problem with the first.

  8. Multiplying and Dividing Decimals Worksheets

    Download Multiplying and Dividing Decimals Worksheet PDFs. These math worksheets should be practiced regularly and are free to download in PDF formats.

  9. Results for multiplying and dividing decimals worksheets

    Browse multiplying and dividing decimals worksheets resources on ... Printable PDF, Google Slides & Easel by TPT Versions are

  10. B5SUP-A11 Multiplying & Dividing Decimals

    Activity 7: Dividing Decimals with Money & Menus. A11.45. * Activity 8: Using Models & Strategies to Divide with Decimals. A11.53. * Independent Worksheet