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- Place Value Problem Cards For Decimals For Ks3 Maths
Decimal place value – Problem cards for KS3 maths
PDF problem cards
Use this set of problem cards to get children thinking about place value with decimals.
What is decimal place value?
Decimal place value is a fundamental concept in mathematics, crucial for understanding numbers and performing arithmetic operations. It’s a key part of the Key Stage 3 (KS3) curriculum for pupils aged 11 to 14, and refers to the position of digits in a decimal number, determining their value based on powers of 10. For instance, in the number 345.678:
- Hundreds: 3 (300)
- Tens: 4 (40)
- Units (Ones): 5 (5)
- Tenths: 6 (0.6)
- Hundredths: 7 (0.07)
- Thousandths: 8 (0.008)
The KS3 Maths curriculum aims to:
- Develop fluency in mathematics through varied practice.
- Foster conceptual understanding and accurate application of knowledge.
- Enhance mathematical reasoning and problem-solving skills.
Key curriculum components
- Understanding place value for decimals and integers.
- Using relationships between operations, including inverse operations.
- Solving problems involving fractions, decimals, and percentages.
- Converting between these forms.
- Performing arithmetic operations with decimals.
- Understanding the order of operations.
Practical applications for decimal place value
Students use decimal place value to:
- Perform calculations with decimals, essential for handling money and measurements.
- Compare and order decimals for data analysis.
- Understand the effects of multiplying and dividing by powers of 10, aiding in scientific notation.
Teaching strategies
Effective teaching strategies include:
- Visual Aids : Using charts and blocks to represent decimal numbers.
- Real-life Contexts : Applying decimals in practical scenarios like currency and measurement.
- Interactive Activities : Engaging students with games and digital tools.
- Practice and Reinforcement : Providing worksheets and problem-solving exercises.
Mastering decimal place value equips KS3 students with a strong foundation for advanced mathematical concepts, preparing them for KS4 and beyond.
Influenced, inspired and informed by the work of leading maths researchers and practitioners across the world, White Rose Maths brings together a team of highly experienced and passionate maths teaching experts to train, guide, help and support all those who want to make change happen in their schools. You can find more resources at whiterosemaths.com/schemes-of-learning and follow on Twitter at @whiterosemaths .
We also have Key Stage 3 maths worksheets for the whole curriculum.
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Problem solving with fractions and decimals
I can use my knowledge of fractions and decimals to solve problems.
Lesson details
Key learning points.
- Fractions can be used to solve problems in context.
- Converting to decimals may be useful to solve problems in context.
- It may be necessary to order a set of fractions and decimals to solve problems in context.
- Fractions and decimals can be useful in solving in many real world problems.
Common misconception
Assuming that there are 100 minutes in an hour and converting 3.25 hours to 3 hours 25 minutes.
Start with half an hour, pupils should be happy that half an hour is 30 mins, show it written as a decimal to highlight it's not 3.3 hours
Improper fraction - An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Proportion - Proportion is a part to whole (sometimes part to part) comparison.
This content is © Oak National Academy Limited ( 2024 ), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Starter quiz
6 questions.
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Decimal Word Problem Worksheets
Extensive decimal word problems are presented in these sets of worksheets, which require the learner to perform addition, subtraction, multiplication, and division operations. This batch of printable decimal word problem worksheets is curated for students of grade 3 through grade 7. Free worksheets are included.
Adding Decimals Word Problems
Decimal word problems presented here help the children learn decimal addition based on money, measurement and other real-life units.
- Download the set
Subtracting Decimals Word Problems
These decimal word problem worksheets reinforce the real-life subtraction skills such as tender the exact change, compare the height, the difference between the quantities and more.
Decimals: Addition and Subtraction
It's review time for grade 4 and grade 5 students. Take these printable worksheets that help you reinforce the knowledge in adding and subtracting decimals. There are five word problems in each pdf worksheet.
Multiplying Decimals Whole Numbers
Reduce the chaos and improve clarity in your decimal multiplication skill using this collection of no-prep, printable worksheets. A must-have resource for young learners looking to ace their class!
Decimal Division Whole Numbers
Revive your decimal division skills with a host of interesting lifelike word problems involving whole numbers. Keep up with consistent practice and you’ll fly high in the topic in no time!
Multiplying Decimals Word Problems
Each decimal word problem involves multiplication of a whole number with a decimal number. 5th grade students are expected to find the product and check their answer using the answer key provided in the second page.
Dividing Decimals Word Problems
These division word problems require children to divide the decimals with the whole numbers. Ask the 6th graders to perform the division to find the quotient by applying long division method. Avoid calculator.
Decimals: Multiplication and Division
These decimal worksheets emphasize decimal multiplication and division. The perfect blend of word problems makes the grade 6 and grade 7 children stronger in performing the multiplication and division operation.
Related Worksheets
» Fraction Word Problems
» Ratio Word Problems
» Division Word Problems
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Decimals. Worksheet paper, Level 5. KS3 , KS4.
Subject: Mathematics
Age range: 14-16
Resource type: Worksheet/Activity
Last updated
16 July 2020
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Worksheet/practice paper, up to level 5.
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KS2/KS3 Maths: Decimals Decimals lessons designed for pupils learning how work with decimal numbers.. Highly visual to support pupils understanding of decimal numbers. 1\. Place Value and Ordering Decimals (2) 2\. Adding and Subtracting Decimal Numbers (£2) 3\. Multiplying and Dividing by Powers of 10. (£2) 4\.
Key learning points Integers and decimals appear in many real-world contexts. Calculating with money is an example of decimals. Many measurements require decimal values for good accuracy.
addition, subtraction, subtracting. Practice Questions. Previous: Data Handling Cycle Practice Questions. Next: Multiplying/Dividing by Decimals Practice Questions. The Corbettmaths Practice Questions on Adding or Subtracting Decimals.
This pack covers a wide range of KS3 maths topics on decimals, from adding and subtracting decimals to converting fractions, decimals and percentages. The pack also includes a mixed revision sheet.
Click here for Answers . Practice Questions Previous: Multiplying/Dividing by Decimals Practice Questions Next: Dimensional Analysis Practice Questions
In this lesson, we will solve addition and subtraction problems with decimals and generate our own word problems to suit equations. We will develop our understanding of decimal problem-solving through bar models and a variety of real life contexts. This content is made available by Oak National Academy Limited and its partners and licensed ...
In this lesson, we will solve problems with decimals through bar models in a variety of real life contexts, converting units of measurement where appropriate. This content is made available by Oak National Academy Limited and its partners and licensed under Oak's terms & conditions (Collection 1), except where otherwise stated.
Use the model to help visualize a decimal number. Find the decimal depicted.
These free decimal word problem worksheets will help students better understand the usage of decimals in story based problems and how to solve them.
Practice Questions. Previous: Adding/Subtracting Decimals Practice Questions. Next: Ordering Decimals Practice Questions. The Corbettmaths Practice Questions on Multiplying/Dividing Decimals.
When multiplying decimal numbers, set up the problem like regular multiplication. When you get your answer, add up the total number of digits to the right of the decimals in both the numbers you are multiplying and place the decimal in your answer that many places from the right end.
Decimal place value is a fundamental concept in mathematics, crucial for understanding numbers and performing arithmetic operations. It's a key part of the Key Stage 3 (KS3) curriculum for pupils aged 11 to 14, and refers to the position of digits in a decimal number, determining their value based on powers of 10.
Our word problems resource on fractions, decimals and percentages provides a variety of engaging tasks designed to develop skills in KS3 Maths.
Problem solving with fractions and decimals I can use my knowledge of fractions and decimals to solve problems.
Decimal Word Problem Worksheets Extensive decimal word problems are presented in these sets of worksheets, which require the learner to perform addition, subtraction, multiplication, and division operations. This batch of printable decimal word problem worksheets is curated for students of grade 3 through grade 7. Free worksheets are included.
All Decimal Operations with Word Problems. 1) Ellen wanted to buy the following items: A DVD player for $49.95. A DVD holder for $19.95. Personal stereo for $21.95. Does Ellen have enough money to buy all three items if she has $90. 2) Melissa purchased $39.46 in groceries at a store.
This is a mastery worksheet involving dividing 2 decimals. The worksheet is split into 3 sections, fluency, reasoning and problem solving so students can master the topic.
KS3.11. /. Put Decimal Numbers in Order with Numbers Up to 5. KS3.14. /. Compare Percents to Fractions and Decimals. KS3.22. /. Add and Subtract Decimal Numbers Up to 3 Places.
Decimals - Worded Problems. Subject: Mathematics. Age range: 7-11. Resource type: Worksheet/Activity. File previews. docx, 14.04 KB. I created a sheet with simple worded problems, a space to show their sum, and a space for the answer. I wanted my students to get used to reading problems and then writing the sum in preparation for exams which ...
The Corbettmaths Practice Questions on Fractions, Decimals and Percentages (FDP)
Decimals Reasoning and Problem Solving. Subject: Mathematics. Age range: 7-11. Resource type: Worksheet/Activity. File previews. pdf, 394.64 KB. These problems will give your Year 6 pupils the opportunity to reason and solve problems with decimals. This is a sample resource. For a full year's worth of reasoning and problem solving for Year 6 ...
Worksheet paper, Level 5. KS3 , KS4. Subject: Mathematics. Age range: 14-16. Resource type: Worksheet/Activity. NGfL Cymru was a website funded by the Welsh Government. The resources on TES are a legacy of this project. The content or format of these resources may be out of date. You can find free, bilingual teaching resources linked to the ...