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Decimals Worksheets
This page contains navigation to all decimal topics and combined review. Each topic includes plenty of decimal worksheets that would provide enough practice in decimals.
List of Decimals Worksheets
Decimals in Words
Decimal Place Value
Decimals in Standard and Expanded Forms
Decimals on a Number Line
Adding Decimals
Subtracting Decimals
Multiplying Decimals
Dividing Decimals
Decimal Word Problems
Comparing Decimals
Ordering Decimals
Estimating Decimals
Rounding Decimals
Rounding Decimals: Significant Figures
Explore the Decimals Worksheets in Detail
It takes you to numbers in words worksheets that contain sheets on writing decimals in words.
This page provides enormous worksheets on practicing decimal place values.
Expand a decimal number using the place values of its digits as well as reduce a decimal expansion to a standard numeral with this collection of pdf worksheets. Prep up and convert between standard and expanded notations of decimals in no time!
Learn and explore how to represent decimals on number lines.
Decimal addition worksheets include addition of two or three decimals either in column or horizontal form with different place values.
Exclusive page in subtracting decimals include more than 470 worksheets in different variations.
Decimal multiplication worksheets include multiplying decimal with whole numbers or decimal numbers. Work space provided.
Apart from default practice problems, few special worksheets on mental division added.
Word problems help you understand the practical application of decimals in real-life.
Compare the decimals using the greater than, less than or equal to symbols.
Arrange the decimals in either increasing or decreasing order.
Estimate the sum, difference, product and quotient involving decimals.
Round the decimals to the nearest whole number, tenths, hundredths and thousandths.
Learn to round off decimals with this collection of rounding significant figures worksheets that encompass an array of skills like rounding up to five significant figures, rounding significant figures involving arithmetic operations and more!
Decimal into Fraction and Percent
Convert each decimal into either fraction or percent or both.
Converting between Fractions and Decimals Worksheets
Wish to ignite the fire to attain mastery in the converting between fractions and decimals among your children? Our enigmatic collection of printable assessment worksheets has your back! Try them here.
Convert between Fractions, Decimals, and Percents Worksheets
Maximize the child’s potential through our pdf worksheets for converting between fractions, decimals, and percents. Building a keen interest in the topic comes naturally with these enthralling assessment tools.
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Year 6 Decimals worksheets
Free worksheets: decimals, ks2, y6.
You’ll need to login or Register first to access these worksheets for free.
Once you’ve tried out our free worksheets, why not explore all our resources (1000s of worksheets, interactive tutorials, learning packs and more) with a 14-day FREE trial subscription .
Year 6 number pyramids: adding decimals
Decimal places rounding game
Multiplying decimals
Year 6 function machine activity
Using related calculations
Fractions, percentages and decimals problems
Decimals check-up
Decimal addition and subtraction
Complete number sequences
Blank hundred chart or hundred square
Fish / cakes: matching decimals and fractions
Multiplying decimals using the grid method
Multiplying and dividing decimals
Turning fractions into decimals
Giving a decimal answer to a division question
Mental multiplication and division of decimals
Equivalent fractions, decimals and percentages memory game
Multiplying decimal numbers by one-digit numbers
Number sequences including decimals and negative numbers
Decimals: doubling and halving
Decimals made simple
Cool maths games for kids
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Grade 6 Decimals Multiplication Worksheets
Math worksheets: multiplying decimals.
These grade 6 math worksheets focus on decimal multiplication including multiplying decimals by whole numbers, by multiples of ten and by other decimals .
Sample Grade 6 Decimal Multiplication Worksheet
More decimals worksheets
Find all of our decimals worksheets , from converting fractions to decimals to long division of multi-digit decimal numbers.
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Decimal Worksheets
Conversion :: Addition :: Subtraction :: Multiplication :: Division
Conversion to Decimal
Subtraction, multiplication.
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Free Year 6 Maths Worksheets And SATs Revision Worksheets: Download, Print Or View Online
Sophie bessemer.
Here you’ll find all our free Year 6 maths worksheets and Year 6 SATs revision workshee t s that you can download and use straight away.
Inevitably, many of these have been designed originally to be Year 6 SATs revision worksheets for pupils preparing for their end of primary school KS2 SATs but whether they are sitting their SATs or not, they still need to know the content, and you still want them ready for Year 7 maths next year at secondary school.
If you’re a parent looking for more advice, try our home learning hub full of home learning packs , tips and teaching ideas for Year 6 Maths at Home and maths homework and more about the KS2 SATs which take place in May every year for Year 6.
If you’re a teacher or school leader who is interested in improving maths attainment in your school or classroom, then this whole website is for you. Third Space Learning is dedicated to improving outcomes in maths with our online tutoring programme of maths interventions , together with maths resources and CPD.
A note on the Year 6 maths worksheets provided
All the Third Space Learning Year 6, KS2 maths worksheets and SATs revision worksheets are printable; most are in pdf format, some are designed as slides, but if you don’t want to print for whatever reason all the worksheets can be viewed online too.
We always include answers in our maths resource packs but for any teachers wanting to delve further into any of these topics take a look at our KS2 Maths teaching guides which cover everything from long division to pie charts. And if you’re after something a bit more lighthearted in the run up to SATs, our collection of maths games , in particular the KS2 maths games are always popular.
How we’ve selected the Year 6 maths worksheets
We are providing here a selection of the pdf Year 6 maths worksheets and, Year 6 maths tests that we believe can be used with minimal support by 10 or 11 year olds as part of their home learning.
The focus here is on retrieval practice . This means working on skills and knowledge a Year 6 should already have been taught (even if they can’t remember it yet!) and supporting them with strategies to approach SATs questions rather than teaching them new content.
Inevitably there’s a focus at this stage on ensuring pupils core number work is really sound, and on the topics that lend themselves well to Year 6 maths worksheets. There’s nothing here for example on identifying shapes or properties of shapes such as parallelograms or quadrilaterals because you can find these easily online already.
Primary National Curriculum guidance and links to other support is given where relevant alongside the maths worksheets.
Free Year 6 Maths Worksheets and Tests
A collection of free Year 6 maths activities and worksheets from the Third Space Maths Hub. You need to register to download (but it's free). Use Google Chrome.
Year 6 Place Value Worksheets
Year 6 addition and subtraction worksheets, year 6 multiplication and division worksheets, year 6 four operations worksheets, year 6 fractions worksheets, year 6 percentages worksheets, year 6 decimals worksheets, year 6 algebra worksheets, year 6 fluency, reasoning and problem solving skills practice, year 6 sats tests and revision resources, year 6 maths worksheets on place value: all kinds of word problems.
These Year 6 number and place value worksheets give lots of practice on two-step and three-step word problems to strengthen children’s understanding of place value and ordering numbers.
Download the free Year 6 Number and Place Value worksheets
Year 6 SATs Revision Worksheets on place value: SATs Revision Packs
If you find a Year 6 child is struggling with the place value word problems, then you might want to try some more refresher place value questions and activities with them.
If giving as homework encourage parents to read our explainer What is Place Value and then work through these SATs Revision packs on place value, which cover basic number facts all the way to decimal numbers, designed to for use in the final year of primary school.
Topics covered include: Ordering and Comparing Numbers to 10 Million, Ordering and Comparing Numbers to 3 Decimal Places, Rounding Whole Numbers and Decimals.
Download the free SATs Revision Packs on Place Value
Year 6 Maths Worksheets on addition and subtraction: Gap Plugging Pack
These lessons are what we use during our online maths interventions. The year 6 addition and subtraction worksheets include lots of addition and subtraction questions for children to follow along with. As they are intended to be used by a tutor teaching and supporting a child through their Year 6 addition and subtraction understanding, parents may need to be prepared to step in occasionally.
Download the free Year 6 Addition & Subtraction worksheets or check out or full collection of addition and subtraction worksheets for even more!
Year 6 Maths Worksheets on multiplication and division: Gap Plugging Pack
More examples of Year 6 maths slides from our online maths tuition, this time on multiplication and division.
Download the free Year 6 Multiplication & Division worksheets
Year 6 SATs Revision Worksheets: Times Tables Tests
It’s essential that children become proficient and quick at their times tables and schools really need parents support in this. By Year 6 children should know all their multiplication facts up to the 12 times table and beyond (i.e 10 times bigger and smaller than 12 too) and be able to identify common multiples, and common factors.
Here are some quick Year 6 maths tests that they can mark themselves to identify any gaps in their multiplication tables and track their progress.
Download the free Year 6 Times Tables Tests
Year 6 Maths Worksheets on long multiplication
These upper KS2 worksheets provide over 45 long multiplication questions that progress from multiplying 2-digit by 2-digit numbers to 4-digit by 2-digit word problems of the sort Year 6 pupils are likely to encounter in SATs.
Download the free Year 6 Long Multiplication worksheets
Year 6 Maths Worksheets on division
By Year 6 children should have moved their understanding of division on to the formal long division method and they will be ready tackle these long division worksheets.
The questions start with short division so a child can progress from 1-digit number division to 2-digit and 3-digit division using division facts and multiples.
Download the free Year 6 Long Division worksheets
Year 6 Maths Worksheet on the four operations: All Kinds of Word Problems
Mastering BODMAS and the order of operations is key in Year 6 as they start working with indices, square numbers and brackets as well as the standard four operations of addition, subtraction, multiplication and division. This set of KS2 maths worksheets gives 40 word problems of increasing levels of difficulty; if a child struggles with the year 6 four operations questions, then suggest they look at the Year 3, 4 or 5 maths problems instead.
Download the free Year 6 Four Operations worksheet
Year 6 Maths Worksheet on the four operations: Code Crackers
While most pupils will be confident when tackling the four operations, it always helps to have a worksheet that provides some maths revision. This entertaining maths activity not only recaps the four operations through number problems but also when the answers are correctly found, they create the punchline to a joke.
Download Year 6 Maths Worksheet on the four operations: Code Crackers
Year 6 Maths Worksheet on the four operations: Worked Examples
In Year 6, children will recap previous learning in the four operations but they will also learn long division and focus on BODMAS. There will always be children who will have gathered and maintained misconceptions throughout their schooling or recently found themselves making common mistakes. This worked example worksheet is a perfect way to discuss common errors children make.
Download Year 6 Maths Worksheet on the four operations: Worked Examples
Year 6 Maths Worksheets on adding and subtracting fractions: Gap Plugging Pack
Year 6 adding and subtracting fractions questions from our online maths lessons
Download the free Year 6 Adding and Subtracting Fractions worksheets
Year 6 Maths Worksheets on multiplying and dividing fractions : Gap Plugging Pack
Year 6 multiplying and dividing fractions questions from our online maths lessons .
Download the free Year 6 Multiplying and Dividing Fractions worksheets
Year 6 Maths Worksheet on fractions: All Kinds of Word Problems
This free year 6 fractions worksheet is a collection of word problems that enable 11 year olds to see a variety of different ways that fraction problems can be constructed, including adding and subtracting fractions, working out equivalent fractions and simplifying fractions
Download the free Year 6 Fractions worksheet
Year 6 Maths Worksheet on fractions: Code Crackers
When children are in Year 6, there are a lot of different elements to fractions that they need to remember. This worksheet provides a fun recap of everything they will have been taught throughout the Year 6 fractions block while they find the answer to a silly joke. The fractions questions include adding fractions with different denominators, multiplying proper fractions by integers and multiplying two proper fractions.
Download Year 6 Maths Worksheet on fractions: Code Crackers
Year 6 Maths Worksheet on fractions: Worked Examples
This worksheet involves a set of fractions questions that have been solved but not all have been correctly solved. The pupils will need to ‘become the teacher’ to mark the work presented to them and edit any incorrect answers they find. The focus of this resource is mainly on identifying and explaining errors to develop reasoning skills.
Download Year 6 Maths Worksheet on fractions: Worked Examples
Year 6 Maths Worksheets on percentages: Code Crackers
Revision for 10 and 11 year olds on a perennially tricky SATs topic – Year 6 percentages – all in a fun format that allows Year 6 children the satisfaction of cracking a topical code at the end.
Download the free Year 6 percentages worksheets
Year 6 Maths Worksheets on percentages: Worked Examples
This worksheet encourages children to convert between percentages, fractions and decimals as well as finding equivalents to a given percentage and using percentages in context (in money). There is an added challenge of the questions being solved, ready for the children to check the answers for errors.
Download Year 6 Maths Worksheets on percentages: Worked Examples
Year 6 Maths Worksheets on decimals: Code Crackers
Recap Year 6 decimals knowledge in order to crack the code .
Download the free Year 6 decimals worksheets
Year 6 Maths Worksheets on decimals: Worked Examples
This worked example worksheet focuses on common eros made within this topic, for example multiplying a decimal number by 100 and multiplying an integer by a decimal number.
Download Year 6 Maths Worksheets on decimals: Worked Examples
Year 6 Maths Worksheets on algebra: Code Crackers
Recap Year 6 algebra knowledge in order to crack the code.
Download the free Year 6 algebra worksheets
Year 6 Maths Worksheets on algebra: Worked Examples
Algebra is a new topic for Year 6, although children will have experienced it under different names (for example, missing number problems). This worksheet focuses on the common errors that are made then using function machines, finding possible values and using formula.
Download Year 6 Maths Worksheets on algebra: Worked Examples
Year 6 Maths Worksheets on algebra and measures: Independent Recap
These quick worksheets are our newest resource, aimed at being tasks children can work through with minimal support from parents or teachers. This pack contains four worksheets focused on forming and solving two step equations, and converting metric measurements – a double helping of key SATs topics.
Download the Year 6 Algebra and Measures Independent Recap Worksheets Pack
Year 6 Maths Worksheets for improving mental maths, arithmetic and fluency: Fluent in Five
We recommend every primary school child starts their day with Fluent in Five. It’s 5-10 minutes of daily arithmetic questions; in Year 6 children have to answer up to 7 quick mental arithmetic questions a day using either a written or mental method. It’s a fantastic way to develop children’s numeracy and build up their speed in preparation for the KS2 SATs Arithmetic paper.
Download the free Year 6 Arithmetic Worksheets
Year 6 Maths Worksheets for problem solving and reasoning: Rapid Reasoning
Children often struggle with maths reasoning at KS2 , e specially in lower Key Stage 2. This set of more than 120 maths reasoning questions includes modelled answers and step by step guidance to support pupils through solving them. Each Year 6 reasoning worksheet has approximately 4 questions on it.
Download the free Year 6 Reasoning Worksheets
Year 6 SATs Tests and Year 6 Maths Papers
Of course one of the skills the SATs papers test is identifying exactly what the question is asking for, and which maths operation to undertake. The following practice Year 6 maths sats papers or Year 6 SATs tests provide a range of question types and topics, requiring children to switch between multiplication and division to 2D shapes and 3D shapes from one question to the next. They all include answer sheets so children can self mark as required.
Download 6 free KS2 SATs Papers
Download your free Year 6 maths test
Year 6 SATs Revision Worksheets: Worked Examples
This pack contains a series of SATs style arithmetic and reasoning questions that have already been solved, although the answers may not be correct. Each year 6 sats revision worksheet encourages pupils to find and explain errors, not just focus on finding the correct answer. Again the topics are all mixed up, so the first step is in finding what is being tested.
Download free Year 6 Maths Worked Examples
Year 6 SATs Reasoning Questions
Central to the new maths mastery approach to teaching maths at primary school is the idea that all children of all abilities should be able to solve multi step word problems in maths and reason well. This is why two of the three KS2 SATs papers are SATs reasoning papers.
While these aren’t on a SATs revision worksheet, there are plenty of examples here to help 10 and 11 year olds to practise these kind of questions.
35 Free Year 6 Maths Reasoning Questions
If you have pupils who need a boost for SATs next year, talk to one of our schools team about the results you can expect from our one to one SATs revision lessons . We’ve also collected the best SATs revision resources if you’re planning your own SATs intervention, including a breakdown of the topics and order that we believe is most effective in giving pupils a firm grasp of maths and enabling them to achieve 100 in SATs .
Also in this series…
- Year 2 Maths Curriculum Toolkit for 6 & 7 Year Olds
- Year 2 Maths Worksheets
- Year 3 Maths Curriculum Toolkit for 7 & 8 Year Olds
- Year 3 Maths Worksheets
- Year 4 Maths Curriculum Toolkit for 8 & 9 Year Olds
- Year 4 Maths Worksheets
- Year 5 Maths Curriculum Toolkit for 9 & 10 Year Olds
- Year 5 Maths Worksheets
Do you have students who need extra support in maths? Every week Third Space Learning’s maths specialist tutors support thousands of students across hundreds of schools with weekly online 1-to-1 lessons and maths interventions designed to address learning gaps and boost progress. Since 2013 we’ve helped over 150,000 primary and secondary students become more confident, able mathematicians. Learn more or request a personalised quote for your school to speak to us about your school’s needs and how we can help.
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Decimals Worksheets
Thanks for visiting the Decimals Worksheets page at Math-Drills.Com where we make a POINT of helping students learn. On this page, you will find Decimals worksheets on a variety of topics including comparing and sorting decimals, adding, subtracting, multiplying and dividing decimals, and converting decimals to other number formats. To start, you will find the general use printables to be helpful in teaching the concepts of decimals and place value. More information on them is included just under the sub-title.
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.
Most Popular Decimals Worksheets this Week
Grids and Charts Useful for Learning Decimals
General use decimal printables are used in a variety of contexts and assist students in completing math questions related to decimals.
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.
- Thousandths and Hundredths Grids Thousandths Grid Hundredths Grids ( 4 on a page) Hundredths Grids ( 9 on a page) Hundredths Grids ( 20 on a page)
- Decimal Place Value Charts Decimal Place Value Chart ( Ones to Hundredths ) Decimal Place Value Chart ( Ones to Thousandths ) Decimal Place Value Chart ( Hundreds to Hundredths ) Decimal Place Value Chart ( Thousands to Thousandths ) Decimal Place Value Chart ( Hundred Thousands to Thousandths ) Decimal Place Value Chart ( Hundred Millions to Millionths )
Decimals in Expanded Form
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 )
- Converting Decimals from Standard Form to Expanded Form Using Decimals Converting Decimals from Standard to Expanded Form Using Decimals ( 3 Decimal Places) Converting Decimals from Standard to Expanded Form Using Decimals ( 4 Decimal Places) Converting Decimals from Standard to Expanded Form Using Decimals ( 5 Decimal Places) Converting Decimals from Standard to Expanded Form Using Decimals ( 6 Decimal Places) Converting Decimals from Standard to Expanded Form Using Decimals ( 7 Decimal Places) Converting Decimals from Standard to Expanded Form Using Decimals ( 8 Decimal Places) Converting Decimals from Standard to Expanded Form Using Decimals ( 9 Decimal Places)
- Converting Decimals from Standard Form to Expanded Form Using Fractions Converting Decimals from Standard to Expanded Form Using Fractions ( 3 Decimal Places) Converting Decimals from Standard to Expanded Form Using Fractions ( 4 Decimal Places) Converting Decimals from Standard to Expanded Form Using Fractions ( 5 Decimal Places) Converting Decimals from Standard to Expanded Form Using Fractions ( 6 Decimal Places) Converting Decimals from Standard to Expanded Form Using Fractions ( 7 Decimal Places) Converting Decimals from Standard to Expanded Form Using Fractions ( 8 Decimal Places) Converting Decimals from Standard to Expanded Form Using Fractions ( 9 Decimal Places)
- Converting Decimals from Standard Form to Expanded Factors Form Using Decimals Converting Decimals from Standard to Expanded Factors Form Using Decimals ( 3 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Decimals ( 4 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Decimals ( 5 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Decimals ( 6 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Decimals ( 7 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Decimals ( 8 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Decimals ( 9 Decimal Places)
- Converting Decimals from Standard Form to Expanded Factors Form Using Fractions Converting Decimals from Standard to Expanded Factors Form Using Fractions ( 3 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Fractions ( 4 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Fractions ( 5 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Fractions ( 6 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Fractions ( 7 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Fractions ( 8 Decimal Places) Converting Decimals from Standard to Expanded Factors Form Using Fractions ( 9 Decimal Places)
- Converting Decimals from Standard Form to Expanded Exponential Form Converting Decimals from Standard to Expanded Exponential Form ( 3 Decimal Places) Converting Decimals from Standard to Expanded Exponential Form ( 4 Decimal Places) Converting Decimals from Standard to Expanded Exponential Form ( 5 Decimal Places) Converting Decimals from Standard to Expanded Exponential Form ( 6 Decimal Places) Converting Decimals from Standard to Expanded Exponential Form ( 7 Decimal Places) Converting Decimals from Standard to Expanded Exponential Form ( 8 Decimal Places) Converting Decimals from Standard to Expanded Exponential Form ( 9 Decimal Places)
- Retro Converting Decimals from Standard Form to Expanded Form Retro Standard to Expanded Form (3 digits before decimal; 2 after) Retro Standard to Expanded Form (4 digits before decimal; 3 after) Retro Standard to Expanded Form (6 digits before decimal; 4 after) Retro Standard to Expanded Form (12 digits before decimal; 3 after)
- Retro European Format Converting Decimals from Standard Form to Expanded Form Standard to Expanded Form (3 digits before decimal; 2 after) Standard to Expanded Form (4 digits before decimal; 3 after) Standard to Expanded Form (6 digits before decimal; 4 after)
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.
- Converting Decimals to Standard Form from Expanded Form Using Decimals Converting Decimals from Expanded Form Using Decimals to Standard Form ( 3 Decimal Places) Converting Decimals from Expanded Form Using Decimals to Standard Form ( 4 Decimal Places) Converting Decimals from Expanded Form Using Decimals to Standard Form ( 5 Decimal Places) Converting Decimals from Expanded Form Using Decimals to Standard Form ( 6 Decimal Places) Converting Decimals from Expanded Form Using Decimals to Standard Form ( 7 Decimal Places) Converting Decimals from Expanded Form Using Decimals to Standard Form ( 8 Decimal Places) Converting Decimals from Expanded Form Using Decimals to Standard Form ( 9 Decimal Places)
- Converting Decimals to Standard Form from Expanded Form Using Fractions Converting Decimals from Expanded Form Using Fractions to Standard Form ( 3 Decimal Places) Converting Decimals from Expanded Form Using Fractions to Standard Form ( 4 Decimal Places) Converting Decimals from Expanded Form Using Fractions to Standard Form ( 5 Decimal Places) Converting Decimals from Expanded Form Using Fractions to Standard Form ( 6 Decimal Places) Converting Decimals from Expanded Form Using Fractions to Standard Form ( 7 Decimal Places) Converting Decimals from Expanded Form Using Fractions to Standard Form ( 8 Decimal Places) Converting Decimals from Expanded Form Using Fractions to Standard Form ( 9 Decimal Places)
- Converting Decimals to Standard Form from Expanded Factors Form Using Decimals Converting Decimals from Expanded Factors Form Using Decimals to Standard Form ( 3 Decimal Places) Converting Decimals from Expanded Factors Form Using Decimals to Standard Form ( 4 Decimal Places) Converting Decimals from Expanded Factors Form Using Decimals to Standard Form ( 5 Decimal Places) Converting Decimals from Expanded Factors Form Using Decimals to Standard Form ( 6 Decimal Places) Converting Decimals from Expanded Factors Form Using Decimals to Standard Form ( 7 Decimal Places) Converting Decimals from Expanded Factors Form Using Decimals to Standard Form ( 8 Decimal Places) Converting Decimals from Expanded Factors Form Using Decimals to Standard Form ( 9 Decimal Places)
- Converting Decimals to Standard Form from Expanded Factors Form Using Fractions Converting Decimals from Expanded Factors Form Using Fractions to Standard Form ( 3 Decimal Places) Converting Decimals from Expanded Factors Form Using Fractions to Standard Form ( 4 Decimal Places) Converting Decimals from Expanded Factors Form Using Fractions to Standard Form ( 5 Decimal Places) Converting Decimals from Expanded Factors Form Using Fractions to Standard Form ( 6 Decimal Places) Converting Decimals from Expanded Factors Form Using Fractions to Standard Form ( 7 Decimal Places) Converting Decimals from Expanded Factors Form Using Fractions to Standard Form ( 8 Decimal Places) Converting Decimals from Expanded Factors Form Using Fractions to Standard Form ( 9 Decimal Places)
- Converting Decimals to Standard Form from Expanded Exponential Form Converting Decimals from Expanded Exponential Form to Standard Form ( 3 Decimal Places) Converting Decimals from Expanded Exponential Form to Standard Form ( 4 Decimal Places) Converting Decimals from Expanded Exponential Form to Standard Form ( 5 Decimal Places) Converting Decimals from Expanded Exponential Form to Standard Form ( 6 Decimal Places) Converting Decimals from Expanded Exponential Form to Standard Form ( 7 Decimal Places) Converting Decimals from Expanded Exponential Form to Standard Form ( 8 Decimal Places) Converting Decimals from Expanded Exponential Form to Standard Form ( 9 Decimal Places)
- Retro Converting Decimals to Standard Form from Expanded Form Retro Expanded to Standard Form (3 digits before decimal; 2 after) Retro Expanded to Standard Form (4 digits before decimal; 3 after) Retro Expanded to Standard Form (6 digits before decimal; 4 after) Retro Expanded to Standard Form (12 digits before decimal; 3 after)
- Retro European Format Converting Decimals to Standard Form from Expanded Form Retro European Format Expanded to Standard Form (3 digits before decimal; 2 after) Retro European Format Expanded to Standard Form (4 digits before decimal; 3 after) Retro European Format Expanded to Standard Form (6 digits before decimal; 4 after)
Rounding Decimals Worksheets
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.
- Rounding Decimals to Whole Numbers Round Tenths to a Whole Number Round Hundredths to a Whole Number Round Thousandths to a Whole Number Round Ten Thousandths to a Whole Number Round Various Decimals to a Whole Number
- Rounding Decimals to Tenths Round Hundredths to Tenths Round Thousandths to Tenths Round Ten Thousandths to Tenths Round Various Decimals to Tenths
- Rounding Decimals to Hundredths Round Thousandths to Hundredths Round Ten Thousandths to Hundredths Round Various Decimals to Hundredths
- Rounding Decimals to Thousandths Round Ten Thousandths to Thousandths
- Rounding Decimals to Various Decimal Places Round Hundredths to Various Decimal Places Round Thousandths to Various Decimal Places Round Ten Thousandths to Various Decimal Places Round Various Decimals to Various Decimal Places
- European Format Rounding Decimals to Whole Numbers European Format Round Tenths to a Whole Number European Format Round Hundredths to a Whole Number European Format Round Thousandths to a Whole Number European Format Round Ten Thousandths to Whole Number
- European Format Rounding Decimals to Tenths European Format Round Hundredths to Tenths European Format Round Thousandths to Tenths European Format Round Ten Thousandths to Tenths
- European Format Rounding Decimals to Hundredths European Format Round Thousandths to Hundredths European Format Round Ten Thousandths to Hundredths
- European Format Rounding Decimals to Thousandths European Format Round Ten Thousandths to Thousandths
Comparing and Ordering/Sorting Decimals Worksheets.
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.
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.
- Comparing Decimals up to Tenths Comparing Decimals up to Tenths ( Both Numbers Random ) Comparing Decimals up to Tenths ( One Digit Differs ) Comparing Decimals up to Tenths ( Both Numbers Close in Value ) Comparing Decimals up to Tenths ( Various Tricks )
- Comparing Decimals up to Hundredths Comparing Decimals up to Hundredths ( Both Numbers Random ) Comparing Decimals up to Hundredths ( One Digit Differs ) Comparing Decimals up to Hundredths ( Two Digits Swapped ) Comparing Decimals up to Hundredths ( Both Numbers Close in Value ) Comparing Decimals up to Hundredths ( One Number has an Extra Digit ) Comparing Decimals up to Hundredths ( Various Tricks )
- Comparing Decimals up to Thousandths Comparing Decimals up to Thousandths Comparing Decimals up to Thousandths ( One Digit Differs ) Comparing Decimals up to Thousandths ( Two Digits Swapped ) Comparing Decimals up to Thousandths ( Both Numbers Close in Value ) Comparing Decimals up to Thousandths ( One Number has an Extra Digit ) Comparing Decimals up to Thousandths ( Various Tricks )
- Comparing Decimals up to Ten Thousandths Comparing Decimals up to Ten Thousandths Comparing Decimals up to Ten Thousandths ( One Digit Differs ) Comparing Decimals up to Ten Thousandths ( Two Digits Swapped ) Comparing Decimals up to Ten Thousandths ( Both Numbers Close in Value ) Comparing Decimals up to Ten Thousandths ( One Number has an Extra Digit ) Comparing Decimals up to Ten Thousandths ( Various Tricks )
- Comparing Decimals up to Hundred Thousandths Comparing Decimals up to Hundred Thousandths Comparing Decimals up to Hundred Thousandths ( One Digit Differs ) Comparing Decimals up to Hundred Thousandths ( Two Digits Swapped ) Comparing Decimals up to Hundred Thousandths ( Both Numbers Close in Value ) Comparing Decimals up to Hundred Thousandths ( One Number has an Extra Digit ) Comparing Decimals up to Hundred Thousandths ( Various Tricks )
- European Format Comparing Decimals European Format Comparing Decimals up to Tenths European Format Comparing Decimals up to Tenths (tight) European Format Comparing Decimals up to Hundredths European Format Comparing Decimals up to Hundredths (tight) European Format Comparing Decimals up to Thousandths European Format Comparing Decimals up to Thousandths (tight)
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.
- Ordering/Sorting Decimals Ordering/Sorting Decimal Hundredths Ordering/Sorting Decimal Thousandths
- European Format Ordering/Sorting Decimals European Format Ordering/Sorting Decimal Tenths (8 per set) European Format Ordering/Sorting Decimal Hundredths (8 per set) European Format Ordering/Sorting Decimal Thousandths (8 per set) European Format Ordering/Sorting Decimal Ten Thousandths (8 per set) European Format Ordering/Sorting Decimals with Various Decimal Places(8 per set)
Converting Decimals to Fractions and Other Number Formats
There are many good reasons for converting decimals to other number formats. Dealing with a fraction in arithmetic 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.
- Converting Between Decimals and Fractions Converting Fractions to Terminating Decimals Converting Fractions to Terminating and Repeating Decimals Converting Terminating Decimals to Fractions Converting Terminating and Repeating Decimals to Fractions Converting Fractions to Hundredths
- Converting Between Decimals, Fraction, Percents and Ratios Converting Fractions to Decimals, Percents and Part-to-Part Ratios Converting Fractions to Decimals, Percents and Part-to-Whole Ratios Converting Decimals to Fractions, Percents and Part-to-Part Ratios Converting Decimals to Fractions, Percents and Part-to-Whole Ratios Converting Percents to Fractions, Decimals and Part-to-Part Ratios Converting Percents to Fractions, Decimals and Part-to-Whole Ratios Converting Part-to-Part Ratios to Fractions, Decimals and Percents Converting Part-to-Whole Ratios to Fractions, Decimals and Percents Converting Various Fractions, Decimals, Percents and Part-to-Part Ratios Converting Various Fractions, Decimals, Percents and Part-to-Whole Ratios Converting Various Fractions, Decimals, Percents and Part-to-Part Ratios with 7ths and 11ths Converting Various Fractions, Decimals, Percents and Part-to-Whole Ratios with 7ths and 11ths
Adding and Subtracting Decimals
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)
- Adding Tenths Adding Decimal Tenths with 0 Before the Decimal (range 0.1 to 0.9) Adding Decimal Tenths with 1 Digit Before the Decimal (range 1.1 to 9.9) Adding Decimal Tenths with 2 Digits Before the Decimal (range 10.1 to 99.9)
- Adding Hundredths Adding Decimal Hundredths with 0 Before the Decimal (range 0.01 to 0.99) Adding Decimal Hundredths with 1 Digit Before the Decimal (range 1.01 to 9.99) Adding Decimal Hundredths with 2 Digits Before the Decimal (range 10.01 to 99.99)
- Adding Thousandths Adding Decimal Thousandths with 0 Before the Decimal (range 0.001 to 0.999) Adding Decimal Thousandths with 1 Digit Before the Decimal (range 1.001 to 9.999) Adding Decimal Thousandths with 2 Digits Before the Decimal (range 10.001 to 99.999)
- Adding Ten Thousandths Adding Decimal Ten Thousandths with 0 Before the Decimal (range 0.0001 to 0.9999) Adding Decimal Ten Thousandths with 1 Digit Before the Decimal (range 1.0001 to 9.9999) Adding Decimal Ten Thousandths with 2 Digits Before the Decimal (range 10.0001 to 99.9999)
- Adding Various Decimal Places Adding Various Decimal Places with 0 Before the Decimal Adding Various Decimal Places with 1 Digit Before the Decimal Adding Various Decimal Places with 2 Digits Before the Decimal Adding Various Decimal Places with Various Numbers of Digits Before the Decimal
- European Format Adding Decimals European Format Adding decimal tenths with 0 before the decimal (range 0,1 to 0,9) European Format Adding decimal tenths with 1 digit before the decimal (range 1,1 to 9,9) European Format Adding decimal hundredths with 0 before the decimal (range 0,01 to 0,99) European Format Adding decimal hundredths with 1 digit before the decimal (range 1,01 to 9,99) European Format Adding decimal thousandths with 0 before the decimal (range 0,001 to 0,999) European Format Adding decimal thousandths with 1 digit before the decimal (range 1,001 to 9,999) European Format Adding decimal ten thousandths with 0 before the decimal (range 0,0001 to 0,9999) European Format Adding decimal ten thousandths with 1 digit before the decimal (range 1,0001 to 9,9999) European Format Adding mixed decimals with Various Decimal Places European Format Adding mixed decimals with Various Decimal Places (1 to 9 before decimal)
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.
- Subtracting Tenths Subtracting Decimal Tenths with No Integer Part Subtracting Decimal Tenths with an Integer Part in the Minuend Subtracting Decimal Tenths with an Integer Part in the Minuend and Subtrahend
- Subtracting Hundredths Subtracting Decimal Hundredths with No Integer Part Subtracting Decimal Hundredths with an Integer Part in the Minuend and Subtrahend Subtracting Decimal Hundredths with a Larger Integer Part in the Minuend
- Subtracting Thousandths Subtracting Decimal Thousandths with No Integer Part Subtracting Decimal Thousandths with an Integer Part in the Minuend and Subtrahend
- Subtracting Ten Thousandths Subtracting Decimal Ten Thousandths with No Integer Part Subtracting Decimal Ten Thousandths with an Integer Part in the Minuend and Subtrahend
- Subtracting Various Decimal Places Subtracting Various Decimals to Hundredths Subtracting Various Decimals to Thousandths Subtracting Various Decimals to Ten Thousandths
- European Format Subtracting Decimals European Format Decimal subtraction (range 0,1 to 0,9) European Format Decimal subtraction (range 1,1 to 9,9) European Format Decimal subtraction (range 0,01 to 0,99) European Format Decimal subtraction (range 1,01 to 9,99) European Format Decimal subtraction (range 0,001 to 0,999) European Format Decimal subtraction (range 1,001 to 9,999) European Format Decimal subtraction (range 0,0001 to 0,9999) European Format Decimal subtraction (range 1,0001 to 9,9999) European Format Decimal subtraction with Various Decimal Places European Format Decimal subtraction with Various Decimal Places (1 to 9 before decimal)
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.
- Horizontally Arranged Adding Decimals Adding Decimals to Tenths Horizontally Adding Decimals to Hundredths Horizontally Adding Decimals to Thousandths Horizontally Adding Decimals to Ten Thousandths Horizontally Adding Decimals Horizontally With Up to Two Places Before and After the Decimal Adding Decimals Horizontally With Up to Three Places Before and After the Decimal Adding Decimals Horizontally With Up to Four Places Before and After the Decimal
- Horizontally Arranged Subtracting Decimals Subtracting Decimals to Tenths Horizontally Subtracting Decimals to Hundredths Horizontally Subtracting Decimals to Thousandths Horizontally Subtracting Decimals to Ten Thousandths Horizontally Subtracting Decimals Horizontally With Up to Two Places Before and After the Decimal Subtracting Decimals Horizontally With Up to Three Places Before and After the Decimal Subtracting Decimals Horizontally With Up to Four Places Before and After the Decimal
- Horizontally Arranged Mixed Adding and Subtracting Decimals Adding and Subtracting Decimals to Tenths Horizontally Adding and Subtracting Decimals to Hundredths Horizontally Adding and Subtracting Decimals to Thousandths Horizontally Adding and Subtracting Decimals to Ten Thousandths Horizontally Adding and Subtracting Decimals Horizontally With Up to Two Places Before and After the Decimal Adding and Subtracting Decimals Horizontally With Up to Three Places Before and After the Decimal Adding and Subtracting Decimals Horizontally With Up to Four Places Before and After the Decimal
Multiplying and Dividing Decimals
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 Decimals by 1-Digit Whole Numbers Multiply 2-digit tenths by 1-digit whole numbers Multiply 2-digit hundredths by 1-digit whole numbers Multiply 2-digit thousandths by 1-digit whole numbers Multiply 3-digit tenths by 1-digit whole numbers Multiply 3-digit hundredths by 1-digit whole numbers Multiply 3-digit thousandths by 1-digit whole numbers Multiply various decimals by 1-digit whole numbers
- Multiplying Decimals by 2-Digit Whole Numbers Multiplying 2-digit tenths by 2-digit whole numbers Multiplying 2-digit hundredths by 2-digit whole numbers Multiplying 3-digit tenths by 2-digit whole numbers Multiplying 3-digit hundredths by 2-digit whole numbers Multiplying 3-digit thousandths by 2-digit whole numbers Multiplying various decimals by 2-digit whole numbers
- Multiplying Decimals by Tenths Multiplying 2-digit whole by 2-digit tenths Multiplying 2-digit tenths by 2-digit tenths Multiplying 2-digit hundredths by 2-digit tenths Multiplying 3-digit whole by 2-digit tenths Multiplying 3-digit tenths by 2-digit tenths Multiplying 3-digit hundredths by 2-digit tenths Multiplying 3-digit thousandths by 2-digit tenths Multiplying various decimals by 2-digit tenths
- Multiplying Decimals by Hundredths Multiplying 2-digit whole by 2-digit hundredths Multiplying 2-digit tenths by 2-digit hundredths Multiplying 2-digit hundredths by 2-digit hundredths Multiplying 3-digit whole by 2-digit hundredths Multiplying 3-digit tenths by 2-digit hundredths Multiplying 3-digit hundredths by 2-digit hundredths Multiplying 3-digit thousandths by 2-digit hundredths Multiplying various decimals by 2-digit hundredths
- Multiplying Decimals by Various Decimal Places Multiplying 2-digit by 2-digit numbers with various decimal places Multiplying 3-digit by 2-digit numbers with various decimal places
- Decimal Long Multiplication in Various Ranges Decimal Multiplication (range 0.1 to 0.9) Decimal Multiplication (range 1.1 to 9.9) Decimal Multiplication (range 10.1 to 99.9) Decimal Multiplication (range 0.01 to 0.99) Decimal Multiplication (range 1.01 to 9.99) Decimal Multiplication (range 10.01 to 99.99) Random # Digits Random # Places
- European Format Multiplying Decimals by 2-Digit Whole Numbers European Format 2-digit whole × 2-digit hundredths European Format 2-digit tenths × 2-digit whole European Format 2-digit hundredths × 2-digit whole European Format 3-digit tenths × 2-digit whole European Format 3-digit hundredths × 2-digit whole European Format 3-digit thousandths × 2-digit whole
- European Format Multiplying Decimals by 2-Digit Tenths European Format 2-digit whole × 2-digit tenths European Format 2-digit tenths × 2-digit tenths European Format 2-digit hundredths × 2-digit tenths European Format 3-digit whole × 2-digit tenths European Format 3-digit tenths × 2-digit tenths European Format 3-digit hundredths × 2-digit tenths European Format 3-digit thousandths × 2-digit tenths
- European Format Multiplying Decimals by 2-Digit Hundredths European Format 2-digit tenths × 2-digit hundredths European Format 2-digit hundredths × 2-digit hundredths European Format 3-digit whole × 2-digit hundredths European Format 3-digit tenths × 2-digit hundredths European Format 3-digit hundredths × 2-digit hundredths European Format 3-digit thousandths × 2-digit hundredths
- European Format Multiplying Decimals by Various Decimal Places European Format 2-digit × 2-digit with various decimal places European Format 3-digit × 2-digit with various decimal places
- Dividing Decimals by Whole Numbers Divide Tenths by a Whole Number Divide Hundredths by a Whole Number Divide Thousandths by a Whole Number Divide Ten Thousandths by a Whole Number Divide Various Decimals by a Whole Number
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.
- Decimal Long Division with Quotients That Work Out Nicely Dividing Decimals by Various Decimals with Various Sizes of Quotients Dividing Decimals by 1-Digit Tenths (e.g. 0.72 ÷ 0.8 = 0.9) Dividing Decimals by 1-Digit Tenths with Larger Quotients (e.g. 3.2 ÷ 0.5 = 6.4) Dividing Decimals by 2-Digit Tenths (e.g. 10.75 ÷ 2.5 = 4.3) Dividing Decimals by 2-Digit Tenths with Larger Quotients (e.g. 387.75 ÷ 4.7 = 82.5) Dividing Decimals by 3-Digit Tenths (e.g. 1349.46 ÷ 23.8 = 56.7) Dividing Decimals by 2-Digit Hundredths (e.g. 0.4368 ÷ 0.56 = 0.78) Dividing Decimals by 2-Digit Hundredths with Larger Quotients (e.g. 1.7277 ÷ 0.39 = 4.43) Dividing Decimals by 3-Digit Hundredths (e.g. 31.4863 ÷ 4.61 = 6.83) Dividing Decimals by 4-Digit Hundredths (e.g. 7628.1285 ÷ 99.91 = 76.35) Dividing Decimals by 3-Digit Thousandths (e.g. 0.076504 ÷ 0.292 = 0.262) Dividing Decimals by 3-Digit Thousandths with Larger Quotients (e.g. 2.875669 ÷ 0.551 = 5.219)
These worksheets would probably be used for estimating and calculator work.
- Horizontally Arranged Decimal Division Random # Digits Random # Places
- European Format Dividing Decimals with Quotients That Work Out Nicely European Format Divide Tenths by a Whole Number European Format Divide Hundredths by a Whole Number European Format Divide Thousandths by a Whole Number European Format Divide Ten Thousandths by a Whole Number European Format Divide Various Decimals by a Whole Number
In the next set of questions, the quotient does not always work out well and may have repeating decimals. The answer key shows a rounded quotient in these cases.
- European Format Dividing Decimals by Whole Numbers European Format Divide Tenths by a Whole Number European Format Divide Hundredths by a Whole Number European Format Divide Thousandths by a Whole Number European Format Divide Ten Thousandths by a Whole Number European Format Divide Various Decimals by a Whole Number
- European Format Dividing Decimals by Decimals European Format Decimal Tenth (0,1 to 9,9) Divided by Decimal Tenth (1,1 to 9,9) European Format Decimal Hundredth (0,01 to 9,99) Divided by Decimal Tenth (1,1 to 9,9) European Format Decimal Thousandth (0,001 to 9,999) Divided by Decimal Tenth (1,1 to 9,9) European Format Decimal Ten Thousandth (0,0001 to 9,9999) Divided by Decimal Tenth (1,1 to 9,9) European Format Various Decimal Places (0,1 to 9,9999) Divided by Decimal Tenth (1,1 to 9,9) European Format Various Decimal Places (0,1 to 9,9999) Divided by Various Decimal Places (1,1 to 9,9999)
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Place value in 3-place decimals - Practice Worksheets & Answers - Year 6
Subject: Mathematics
Age range: 7-11
Resource type: Worksheet/Activity
Last updated
5 March 2019
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Year 6 Decimals and Fractions: Understand place value in numbers with three decimal places.
Procedural fluency practice worksheets to achieve maths mastery. Differentiated for children working towards Age Related Expectations (ARE), at ARE and at greater depth. Includes answers.
Day 1 Use place value to add and subtract 0.1s, 0.01s and 0.001s.
Day 2 Multiply and divide masses/weights in kilograms by powers of 10. Identify functions (×/÷ 10, 100 and 100).
Day 3 Mark numbers with 1, 2 and 3 decimal places on lines and round to the nearest whole. Mark numbers with 1, 2 and 3 decimal places on lines and round to the nearest whole, tenth and hundredth.
These procedural fluency practice sheets are part of our Year 6 Decimals and Fractions block. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.
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Fraction and Decimal Worksheets for Year 6 (age 10-11)
In Year 6 there is even more work on equivalent fractions and using common factors to simplify fractions, often called cancelling.
Perhaps the biggest step is that by the end of Year 6 children will be expected to add and subtract fractions with different denominators and mixed numbers. A really sound understanding of how to do this is needed and many children will find this very difficult. We have a vast selection of addition and subtraction of fractions worksheets, increasing in difficulty, to meet all the challenges set by the Programme of Study.
More is also expected with multiplying fractions using simple proper fractions (e.g. a quarter multiplied by a half is an eighth). Some children find it hard to grasp that when multiplying a whole number by a proper fraction the answer will be smaller than the starting number; very unlike their normal multiplying experience with whole numbers. Replace multiply with the term ‘lots of’ can help with this (e.g. two lots of four is eight; a quarter lot of four is one). We have some excellent sets of worksheets getting progressively harder on multiplying fractions. Answers are expected to be written in their simplest form.
Dividing fractions is also introduced, but only dividing proper fractions by whole numbers.
Once again children should be encouraged to associate a fraction with division as well as working with decimal fractions up to three decimal places (e.g. three eighths as 0.375). More work is also done on percentages, a favourite topic in the KS2 SATs.
An important part of all this work with decimals and fractions is that children should develop their skills of rounding and estimating as a way of predicting and checking that their answers are sensible.
Whilst the Key Stage 2 SAT Papers are in May this leaves quite a short year to fit in all that is needed to be successful.
Understanding and ordering fractions
Understand equivalent fractions, compare and order fractions.
Tricky ordering of fractions on a number line.
Finding fractions of numbers. Some of these only require one step to reach the answer. Others require two steps.
Lecnac is the opposite to cancel? There's no other word for it!
More revision on equivalence.
Using bar models to help clarify fraction word problems.
More on equivalent fractions and simplifying fractions.
Using knowledge of equivalence to complete the fractions.
Finding a fraction between two other fractions shows a really good understanding of equivalence.
Ordering fractions with the help of a blank number line. Again, equivalent fractions need to be understood to successfully complete these pages.
Tricky ordering of fractions.
More ordering fractions.
Simplify fractions using the highest common factor.
Changing mixed numbers to improper fractions and vice versa. Cancelling fractions.
Fraction word problems. Don't forget fractions are really division calculations in disguise!
Addition and subtraction of fractions
Add and subtract fractions, including fractions with different denominators and mixed numbers.
Adding fractions which all have the same denominator.
Adding simple fractions with different denominators.
More addition of fractions with different denominators.
Adding mixed numbers where the denominators are the same.
Adding mixed numbers.
Subtracting fractions from whole numbers.
A quick and easy way to subtract mixed numbers.
Subtracting mixed numbers; denominators the same.
Subtracting mixed numbers.
Subtracting fractions practice.
More on subtracting fractions.
Subtracting a fraction from a mixed number.
Multiplying and dividing fractions
Multiplying simple pairs of proper fractions and dividing proper fractions by whole numbers.
A look at what happens when two fractions are multiplied together.
An introduction to multiplying fractions by whole numbers.
Multiplying simple fractions.
Use bar models to illustrate how to multiply mixed numbers by a whole number.
Multiplying mixed numbers by a whole number.
A first look at dividing a fraction by a whole number.
A further look at dividing a fraction by a whole number.
Dividing simple fractions by a whole number.
Decimals and fractions
Decimal fractions and understanding the relationship between decimals and fractions
Working with numbers to three decimal places; recognising tenths, hundredths and thousandths.
A look at decimals and fractions using hundredths and thousandths.
Looking at place value with decimals up to thousandths.
Using place value charts and multiplying decimals by 10, 100 and 1000.
Dividing decimals by 10 and 100, working to 3 decimal places.
Write the fractions as decimals. Where necessary go to two decimal places.
Using a calculator, changing fractions to decimals, including looking at patterns such as ninths and sevenths.
More on converting fractions and mixed numbers to decimals.
More converting fractions to decimals.
Ordering decimal fractions. Sounds easy, but can be quite tricky.
Hints and tips on ordering decimals.
Some of these really are quite hard! Comparing fractions and decimal fractions.
Multiplying and dividing decimals
Multiplying and dividing decimals. More can be found in our Year 6 Multiplication and Division categories as well as KS2 SAT Booster pages.
Multiplying decimals up to 3 decimal places by 10, 100 and 1,000.
Multiplying decimals by a 1-digit whole number.
Word problems involving multiplying decimals.
Dividing decimals by 10, 100 or 1,000 by moving each digit to the right.
Use the long division method to divide decimals by 2-digit numbers.
Word problems involving division of decimals.
Rounding decimal fractions
Rounding fractions including rounding to the nearest tenth and hundredth.
Rounding decimals to the nearest whole one, including rounding to kilograms and kilometres.
Rounding decimals to the nearest tenth, including rounding metres and kilometres.
Rounding money to the nearest £1 and £10.
Rounding money to the nearest £1 and £10: harder examples.
Rounding decimals: tenths and hundredths.
Rounding decimals including the use of a calculator.
Percentages
Find percentages and solve problems involving the calculation of percentages.
Great set of questions using bar models to help understand percentages.
Using bar models to solve tricky percentage word problems.
Converting and ordering decimals, fractions and percentages.
Finding percentages of numbers and money. Word problems using percentages.
Word problems involving working out percentages.
Finding percentages of numbers.
More on finding percentages of whole numbers.
Harder percentage questions.
More tricky percentage questions.
Interpreting pie charts.
Further fraction work
More on fractions.
Using a calculator to decide the size of fractions and some more converting fractions to decimal fractions.
Using only the multiplication or division calculator keys change one decimal fraction to another.
The statutory requirements for Fractions in Year 6, including decimals and percentages.
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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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Here are the instructions how to enable JavaScript in your web browser .
- 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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Multiply Decimals by Integers Homework Extension Year 6 Decimals
Step 4: Multiply Decimals by Integers Homework Extension Year 6 Spring Block 1
Year 6 Multiply Decimals by Integers Homework Extension provides additional questions which can be used as homework or an in-class extension for the Year 6 Multiply Decimals by Integers Resource Pack . These are differentiated for Developing, Expected and Greater Depth.
More resources for Spring Block 1 Step 4.
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What's included in the pack?
This pack includes:
- Multiply Decimals by Integers Homework Extension with answers for Year 6 Spring Block 1.
National Curriculum Objectives
Mathematics Year 6: (6F9b) Multiply one-digit numbers with up to two-decimal places by whole numbers
Differentiation:
Questions 1, 4 and 7 (Varied Fluency) Developing Match the calculations to the representations provided. Includes multiplying one-digit numbers with up to 2 decimal places by 2, 3, 4 and 5. Pictorial support provided where an exchange takes place. Expected Match the calculations to the representations provided. Includes multiplying one-digit numbers with up to 3 decimal places by one-digit whole numbers where an exchange takes place. Some pictorial support provided where an exchange takes place. Greater Depth Tick the correct calculation to the word problem. Includes multiplying one-digit numbers with up to 3 decimal places by one-digit whole numbers where an exchange takes place. Includes multiplying one-digit numbers with up to 3 decimal places by one-digit whole numbers with exchanging. No pictorial support.
Questions 2, 5 and 8 (Varied Fluency) Developing Tick the correct answer. Includes multiplying one-digit numbers with up to 2 decimal places by 2, 3, 4 and 5. Pictorial support provided where an exchange takes place. Expected Tick the correct answer. Includes multiplying one-digit numbers with up to 3 decimal places by one-digit whole numbers where an exchange takes place. Some pictorial support provided where an exchange takes place. Greater Depth Work out the correct answer for each question. Includes multiplying one-digit numbers with up to 3 decimal places by one-digit whole numbers where an exchange takes place. Includes multiplying one-digit numbers with up to 3 decimal places by one-digit whole numbers with exchanging. No pictorial support.
Questions 3, 6 and 9 ( Reasoning and Problem Solving ) Developing Agree or disagree with a given statement. Includes multiplying one-digit numbers with up to 2 decimal places by 2, 3, 4 and 5 in context. Pictorial support provided where an exchange takes place. Expected Agree or disagree with a given statement. Includes multiplying one-digit numbers with up to 3 decimal places by one-digit whole numbers where an exchange takes place in context. Greater Depth Agree or disagree with a given statement. Includes multiplying one-digit numbers with up to 3 decimal places by one-digit whole numbers with exchanging in context. No pictorial support. Includes zeros in decimal places and a 2-step problem.
This resource is available to download with a Premium subscription.
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Decimals Multiply and divide whole numbers and decimals up to 3dp by 10, 100 or 1000 read, write, order and compare numbers up to 3dp round decimals with up to 3dp to the nearest whole solve problems with numbers up to 3dp Percentages recall and use equivalence between simple fractions, decimals and percentages.
Grade 6 Decimals - Addition & Subtraction Math worksheets: add and subtract decimals These grade 6 decimals worksheets provide practice in adding and subtracting decimals of varying lengths, a skill for which pencil and paper practice is critical to attain mastery. Sample Grade 6 Decimal Subtraction Worksheet More decimals worksheets
Step 1: Identify the Value of Each Digit in Numbers Given to Three Decimal Places and Multiply and Divide Numbers by 10, 100 and 1000 Giving Answers up to Three Decimal Places By year 6, children will have already been introduced to decimal numbers to 3 decimal places (thousandths) in year 5.
Decimals on a Number Line. Learn and explore how to represent decimals on number lines. Adding Decimals. Decimal addition worksheets include addition of two or three decimals either in column or horizontal form with different place values. Subtracting Decimals. Exclusive page in subtracting decimals include more than 470 worksheets in different ...
Year 6 Decimals worksheets Free worksheets: Decimals, KS2, Y6 You'll need to login or Register first to access these worksheets for free. Once you've tried out our free worksheets, why not explore all our resources (1000s of worksheets, interactive tutorials, learning packs and more) with a 14-day FREE trial subscription.
6th grade multiplying decimals worksheets, including multiplying decimals by whole numbers, multiplying decimals by decimals, mental multiplication of decimals, multiplying decimals by 10, 100, 1,000 or 10,000 and decimal multiplication in columns. No login required.
Math explained in easy language, plus puzzles, games, quizzes, videos and worksheets. For K-12 kids, teachers and parents.
pdf, 70.82 KB A lesson for Year 6 that focuses on the place value of decimal numbers. Included is a PowerPoint that includes an arithmetic starter and questions with answers provided. There are also three challenge questions from WRM to take learning and understanding deeper. Creative Commons "Sharealike"
Year 6 Decimal Numbers. This guide is ideal for children learning about decimal numbers in KS2. Packed with examples and activities to give kids all the maths tips they need at home. 1 min. Updated: 25th January 2023. In year 6, children revisit their learning of decimals in years 4 and 5. They are also taught to:
Choose from 3 differentiated addition of decimals year 6 worksheets, allowing you to test high-ability learners and build the confidence of others. As well as being appropriate for year 6 learners, because it is differentiated we also cater for years 3, 4, and 5 also. This resource also comes in an editable version so you can edit the ...
Recap Year 6 decimals knowledge in order to crack the code. Download the free Year 6 decimals worksheets. Year 6 Maths Worksheets on decimals: Worked Examples. This worked example worksheet focuses on common eros made within this topic, for example multiplying a decimal number by 100 and multiplying an integer by a decimal number. Download Year ...
This step-by-step guide for parents will help you teach children what they need to know about year 6, Decimals, including fun activities and clear instructions. Recently Viewed and Downloaded › Recently Viewed ›
Decimals can be a tricky topic for Year 6 students to master. We've created this excellent set of multiplying and dividing decimals Year 6 worksheets to help your students ace this important area of primary maths. Show more Related Searches
Year 6 Three Decimal Places Homework Extension with answers. National Curriculum Objectives. Mathematics Year 6: (6F9a) Identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1,000 giving answers up to three decimal places. Mathematics Year 6: (6F10) Solve problems which require ...
Year 6 Fractions, Decimals and Percentages Practice Test 25 KS2 SATs uestions and ark Scheme: Fractions, Decimals and Percentages Third Space Learning First name Last name Class Score / 25 Instructions You may not use a calculator to answer any questions in this test. Questions and answers • Follow the instructions for each question.
Thanks for visiting the Decimals Worksheets page at Math-Drills.Com where we make a POINT of helping students learn. On this page, you will find Decimals worksheets on a variety of topics including comparing and sorting decimals, adding, subtracting, multiplying and dividing decimals, and converting decimals to other number formats. To start, you will find the general use printables to be ...
Day 1. Use place value to add and subtract 0.1s, 0.01s and 0.001s. Day 2. Multiply and divide masses/weights in kilograms by powers of 10. Identify functions (×/÷ 10, 100 and 100). Day 3. Mark numbers with 1, 2 and 3 decimal places on lines and round to the nearest whole. Mark numbers with 1, 2 and 3 decimal places on lines and round to the ...
These Year 6 decimal multiplication worksheets are great for giving students extra practice at multiplying decimals by whole numbers. They'd also be ideal as a homework task!This set of decimal multiplication worksheets is differentiated. This way you'll be able to challenge and support learners at all levels! They're also printable, user-friendly and can be downloaded with the tap of a ...
Year 6 Decimal Equivalents Maths Mastery Challenge Cards. Year 6 Diving into Mastery: Step 1 Place Value within 1 Teaching Pack. Year 6 Diving into Mastery: Step 2 Place Value - Integers and Decimals Teaching Pack. Decimal Place Value Challenge Differentiated Worksheet. Decimal Word Problems Worksheet.
Year 6 Fractions as Division and Decimal Equivalents Maths Mastery Activities 5.0 (1 review) Year 6 Fractions Recall and Use Equivalences Maths Mastery Activities Challenge Cards 5.0 (1 review) Year 6 Diving into Mastery: Add Fractions Teaching Pack (v2.0) Year 6 Diving into Mastery: Step 6B Fraction of an Amount Teaching Pack 5.0 (4 reviews)
In Year 6 there is even more work on equivalent fractions and using common factors to simplify fractions, often called cancelling. Perhaps the biggest step is that by the end of Year 6 children will be expected to add and subtract fractions with different denominators and mixed numbers.
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 Back to Top
Step 4: Multiply Decimals by Integers Homework Extension Year 6 Spring Block 1. Year 6 Multiply Decimals by Integers Homework Extension provides additional questions which can be used as homework or an in-class extension for the Year 6 Multiply Decimals by Integers Resource Pack.These are differentiated for Developing, Expected and Greater Depth.