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Decoding the 7th Grade Order of Operations Worksheet: Challenges, Opportunities, and Best Practices
Author: Dr. Evelyn Reed, PhD in Mathematics Education, Professor of Mathematics Education at the University of California, Berkeley. Dr. Reed has over 20 years of experience in curriculum development and teacher training, specializing in middle school mathematics.
Keywords: 7th grade order of operations worksheet, order of operations, PEMDAS, BODMAS, mathematics education, middle school math, curriculum development, teaching strategies, math worksheets, assessment, learning challenges.
Introduction:
The 7th grade order of operations worksheet is a pivotal tool in the mathematical development of students. Mastering the order of operations (often remembered by acronyms like PEMDAS or BODMAS) is crucial for success in algebra and beyond. This article delves into the intricacies of a 7th-grade order of operations worksheet, exploring the common challenges students face, the opportunities it presents for effective teaching, and strategies for creating and using these worksheets to maximize student learning.
Understanding the Challenges Posed by the 7th Grade Order of Operations Worksheet:
The 7th grade order of operations worksheet often presents students with a significant hurdle. The abstract nature of mathematical rules, coupled with the sequential application of multiple operations, can lead to confusion and frustration. Some specific challenges include:
Memorization vs. Understanding: Many students memorize the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) without truly grasping the underlying logic and hierarchy of operations. This rote learning often breaks down when faced with complex problems.
Misinterpretation of Order: Confusion arises regarding the equal precedence of multiplication and division (and addition and subtraction). Students may incorrectly perform multiplication before division, or addition before subtraction, leading to incorrect answers.
Dealing with Nested Parentheses: Problems involving nested parentheses or brackets require a systematic approach, which can be challenging for students to develop. The correct sequencing of operations within multiple layers of parentheses is critical.
Negative Numbers and Fractions: Introducing negative numbers and fractions into order of operations problems adds another layer of complexity. Students need a solid understanding of these concepts before applying the order of operations.
Lack of Visual Aids: Abstract concepts like order of operations often benefit from visual representations. Without adequate visuals or manipulatives, students may struggle to internalize the process.
Opportunities Presented by the 7th Grade Order of Operations Worksheet:
Despite the challenges, the 7th grade order of operations worksheet presents significant opportunities for effective teaching and learning:
Building a Strong Foundation: Mastering order of operations is foundational for higher-level mathematics. A well-designed worksheet can provide a solid base for future learning in algebra, geometry, and beyond.
Developing Problem-Solving Skills: Order of operations problems require students to break down complex problems into smaller, manageable steps, fostering critical thinking and problem-solving abilities.
Enhancing Mathematical Fluency: Consistent practice with order of operations worksheets helps students develop mathematical fluency, allowing them to perform calculations quickly and accurately.
Identifying Learning Gaps: Worksheets provide valuable assessment data. By analyzing student responses, teachers can identify areas where students are struggling and adjust their teaching accordingly.
Differentiated Instruction: Worksheets can be adapted to meet the diverse needs of students. Teachers can create different versions of the worksheet, adjusting the difficulty level to suit individual learning styles and abilities.
Best Practices for Creating and Using a 7th Grade Order of Operations Worksheet:
To maximize the effectiveness of a 7th grade order of operations worksheet, consider these best practices:
Start with the Basics: Begin with simple problems involving only two or three operations, gradually increasing the complexity.
Incorporate Visual Aids: Use diagrams, flowcharts, or color-coding to illustrate the order of operations.
Provide Real-World Examples: Relate order of operations to real-world situations to make the concepts more relevant and engaging.
Encourage Collaborative Learning: Promote peer learning by allowing students to work together on problems.
Provide Regular Feedback: Offer timely and constructive feedback on student work, highlighting both strengths and areas for improvement.
Use a Variety of Problem Types: Include problems with different types of numbers (integers, fractions, decimals) and various operations.
Include Word Problems: Incorporate word problems to help students translate real-world scenarios into mathematical expressions.
Assessment and Evaluation of Student Understanding:
The 7th grade order of operations worksheet serves as a valuable assessment tool. Teachers can track student progress, identify areas needing reinforcement, and differentiate instruction accordingly. Effective assessment goes beyond simply grading correct or incorrect answers. It should also examine:
Understanding of the order of operations: Does the student demonstrate a clear understanding of PEMDAS/BODMAS?
Problem-solving strategies: What approach does the student take to solve the problems?
Error patterns: Are there any consistent mistakes that indicate a specific misunderstanding?
Conclusion:
The 7th grade order of operations worksheet is a crucial component of middle school mathematics education. While presenting significant challenges, it also offers invaluable opportunities for building a strong mathematical foundation. By carefully considering the challenges, leveraging the opportunities, and employing best practices in creating and using these worksheets, educators can help students master this vital skill and pave the way for future success in mathematics.
FAQs:
1. What is the difference between PEMDAS and BODMAS? PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) and BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction) are essentially the same; they represent the same order of operations, just using different terminology.
2. Why is understanding the order of operations important? It's fundamental for accurate calculations in all subsequent math courses, ensuring that complex equations are solved correctly.
3. How can I help my child if they are struggling with order of operations? Break down problems into smaller steps, use visual aids, and practice regularly with progressively challenging problems. Consider seeking extra help from a tutor or teacher.
4. Are there online resources to help with order of operations? Yes, many websites and educational platforms offer interactive exercises, videos, and explanations of order of operations.
5. What are some common mistakes students make with order of operations? Ignoring the order of operations, misinterpreting the equal precedence of multiplication/division and addition/subtraction, and struggling with nested parentheses are common errors.
6. How can I create my own 7th grade order of operations worksheet? Start simple, gradually increasing complexity. Include a variety of problem types, and consider incorporating real-world applications.
7. How can I assess my child's understanding of order of operations? Observe their problem-solving process, check for consistent errors, and look for a clear understanding of the order of operations rules.
8. Are there different levels of difficulty for 7th-grade order of operations worksheets? Absolutely. Worksheets can be tailored to different skill levels, from basic problems to those involving fractions, decimals, and more complex expressions.
9. What are some alternative teaching methods for order of operations besides worksheets? Games, interactive simulations, and real-world projects can provide engaging alternatives to traditional worksheets.
Related Articles:
1. "Boosting 7th Grade Math Skills: A Comprehensive Guide to Order of Operations": This article provides a comprehensive overview of strategies and resources for teaching and learning order of operations, including practical tips and examples.
2. "Common Mistakes in 7th Grade Order of Operations and How to Avoid Them": This article focuses on common errors students make and offers specific strategies to address them.
3. "Interactive Games and Activities for Mastering 7th Grade Order of Operations": This article explores various engaging games and activities to reinforce order of operations concepts.
4. "Assessing 7th Grade Order of Operations: Best Practices for Teachers": This article discusses effective assessment techniques for order of operations, focusing on evaluating student understanding beyond just correct answers.
5. "Real-World Applications of Order of Operations in 7th Grade Math": This article connects the abstract concept of order of operations to practical, everyday scenarios.
6. "Differentiated Instruction for 7th Grade Order of Operations: Meeting Diverse Learning Needs": This article explores strategies for adapting instruction to meet the individual needs of students at various skill levels.
7. "The Role of Visual Aids in Teaching 7th Grade Order of Operations": This article focuses on the importance of visual aids and suggests different types of visuals to enhance understanding.
8. "Using Technology to Enhance 7th Grade Order of Operations Learning": This article explores how technology can be used to make learning order of operations more engaging and effective.
9. "From PEMDAS to Algebra: Building a Strong Foundation in 7th Grade Math": This article highlights the importance of mastering order of operations as a stepping stone to more advanced mathematical concepts.
Publisher: Educational Insights Publishing, a renowned publisher of high-quality educational materials for K-12 students, known for its commitment to rigorous research and engaging content.
Editor: Dr. Sarah Chen, PhD in Curriculum and Instruction, experienced editor with a focus on mathematics education materials for middle school students.
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| 7th grade order of operations worksheet: Principles of Mathematics Book 1 Teacher Guide Katherine Loop, 2016-08-05 Teacher Guide for Book 1 of the Principles of Mathematics - Biblical Worldview Curriculum for junior high! Math is a real-life tool that points us to God and helps us explore His creation, yet it often comes across as dry facts and meaningless rules. Here at last is a curriculum that has a biblical worldview integrated throughout the text and problems, not just added as an afterthought. The resources in the Teacher Guide will help students master and apply the skills learned in the Student Textbook. What does this Teacher Guide include? Worksheets, Quizzes, and Tests: These perforated, three-hole punched pages help provide practice on the principles taught in the main student textbook.Answer Keys: The answers are included for the worksheets, quizzes, and tests found in this Teacher Guide.Schedule: A suggested calendar schedule is provided for completing the material in one year, though this can be adapted to meet individual student needs. There is also an accelerated schedule for completing the material in one semester. Are there any prerequisites for this course? This curriculum is aimed at grades 6-8, fitting into most math approaches the year or two years prior to starting high school algebra. If following traditional grade levels, Book 1 should be completed in grade 6 or 7, and Book 2 in grade 7 or 8. In Book 1 students should have a basic knowledge of arithmetic (basic arithmetic will be reviewed, but at a fast pace and while teaching problem-solving skills and a biblical worldview of math) and sufficient mental development to think through the concepts and examples given. Typically, anyone in sixth grade or higher should be prepared to begin. The focus of the course is actually learning math for life, not simply preparing to pass a test. |
| 7th grade order of operations worksheet: Acing the New SAT Math Thomas Hyun, 2016-05-01 SAT MATH TEST BOOK |
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| 7th grade order of operations worksheet: Kitchen Math Susan Brendel, 1997 Even those who donâ t like math are interested in food. Kitchen Math serves up 38 activities connecting basic math operations to purchasing, preparing, cooking, and serving different dishes. Whatâ s really the best price on yogurt? How long should you cook the eggs? How do you read nutrition labels? Your students will practice fundamental math skills while they solve real-life cooking, shopping, and planning scenarios. Comprehensive teacher materials incldue lesson objectives, teaching notes, pre- and post-tests, and complete answer keys. |
| 7th grade order of operations worksheet: Word Problems Grade 2 Teacher Created Resources, Inc, 2002-03 Teach basic math skills like negative numbers, percentages, and decimals using word problems! Your students' reading skills will be strengthened as they learn basic math operations and critical thinking skills.The word problems included in this book are interesting enough to hold student attention, yet challenging enough to strengthen math skills. This book is designed to be completed by the student with little or no help from a parent or teacher which makes it a great resource for use at home or school. |
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| 7th grade order of operations worksheet: The Princess and the Pizza Mary Jane Auch, 2003-05-01 It's tough to be an out-of-work princess. After her royal father decides to retire and become a wood carver, Princess Paulina has no idea what to do with herself. She can't survey the kingdom from her leaky cottage roof, and no one waves back when she proceeds through the town on her father's cart. When she hears that a neighboring queen is seeking a bride for her son, Prince Drupert, Paulina sees her chance to get back to princessing. But it will take all her wit and determination to pass the Queen's tests. . . . and in the end, maybe there are better fates than a royal marriage. Full of tongue-in-cheek references to stories like Rapunzel, Snow White, and the Princess and the Pea, this fractured fairy tale is an hilarious twist on traditional tales in which a young woman's practicality, good humor, and intelligence let her shape her own happy ending— with extra cheese and all the toppings her heart desires. |
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| 7th grade order of operations worksheet: Spectrum Math Workbook, Grade 7 , 2014-08-15 7th Grade Math Workbook for kids ages 12-13 Support your child’s educational journey with the Spectrum grade 7 math workbook that teaches essential math skills to seventh graders. Spectrum’s 7th grade math workbook is a great way for seventh graders to learn essential math skills such as learning algebra equations, geometry, positive and negative integers, and more through a variety of problem-solving activities that are both fun AND educational! Why You’ll Love This Math Book Engaging and educational math for 7th graders. “evaluating algebraic expressions”, “solving word problems”, and “number line practice” are a few of the fun activities that incorporate math in everyday settings to help inspire learning. Testing progress along the way. Pretests, posttests, a mid-test, final test, and an answer key are included in the 7th grade math workbook to help track your child’s progress along the way before moving on to new and exciting math lessons. Practically sized for every activity The 160-page math workbook is sized at about 8.5 inches x 10.75 inches—giving your child plenty of space to complete each exercise. About Spectrum For more than 20 years, Spectrum has provided solutions for parents who want to help their children get ahead, and for teachers who want their students to meet and exceed set learning goals—providing workbooks that are a great resource for both homeschooling and classroom curriculum. The Spectrum Grade 7 Math Workbook Contains: 7 chapters full of vibrant activities and illustrations Pretests, posttests, mid-test, final test, scoring record, and answer key Perfectly sized at about 8.5 x 10.75 |
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| 7th grade order of operations worksheet: BeeOne Grade 6 Math Workbook 2020 Edition Mrs Lakshmi Chintaluri, 2018-01-01 Strengthen your Sixth grader’s math learning and skills with Grade1to6.com workbooks. Worksheets in this workbook will enhance and strengthen the skills in Number systems Operation with numbers Addition Subtraction Multiplication Division Order of Operations Index & Exponent Fractions Decimals Percentages Polygons Area Volume Capacity Probability Statistics Transformation Sets Line Graphs Important Features of this Book These 551 high quality worksheets which will make your child perfect in Math. Suitable for a Grade 6 student globally. Aesthetic design helps children fall in love with Math. Aligned with Latest Curriculum of 2020 The worksheets are aligned with the latest curriculum of Enhanced PYP, Common Core, K2, Singapore Math, Australian Curriculum, CBSE & all well-known International Curriculum Conceptual Learning Assured Every single worksheet and workbook of BeeOne Books is focused on conceptual learning to assist children understand and perfect their learning. Once the concepts are clear, Good Grades are assured Lowest Price We understand the importance of price for teachers & parents, we keep our costs low to ensure we provide you Global standards workbook at the Lowest Price Design This workbook features well designed worksheets with examples given in most of them and ideal for use throughout the year to support classroom work, to help with internal assessments, holiday practice and to revise for the end-of- year examinations at school. Ideal for teachers who are teaching Grade 2 students, parents whose children are in Grade 2 and home schoolers. About BeeOne Books & www.grade1to6.com Publishers of 100’s of high-quality, well designed & result oriented Workbooks suitable for Grade 1 to 6 Are the creators of www.grade1to6.com, the World’s leading worksheet website of high-quality Math & English Worksheets for Grade 1 to 6 created by reputed teachers worldwide. The Grade1to6.com workbook series focuses on global standards worksheets created by experienced teachers and designed aesthetically for easy understanding. Beeone Books is rated a high 4.8 out of 5 in Teachers pay Teachers and used by 1000’s of teachers worldwide. See some of the testimonials by users who are mostly well acclaimed teachers. Imogen D Great to reinforce knowledge taught. December 7, 2019 Gail. S Wow. Comprehensive and easy to choose necessary additional resources when I need it to supplement my Math Program. November 26, 2019 Michelle L. Great for modified programs in elementary. November 7, 2019 Toni B. Good material for practice October 28, 2019 Randeep D. Everything was so organized! very happy to have found this. July 3, 2019 Lisa B. This is easy to grab and print when you need just some straight up practice. This is a fantastic package. The Canadian curriculum is a little different, so I'm able to use parts of this for all the different levels of students in my class - from grade 2 to grade 6. June 27, 2019 Rachel S. Great product for longer worksheets. A few can be finished in a minute; you have to be selective for longer work sessions. June 10, 2019 Sharon W. Excellent! loved it. June 10, 2019 Lilli H. Great resource for my differentiated students. April 29, 2019 Emily R. This is great! March 30, 2019 Janice M. Good angle work. My class loved it. March 20, 2019 Melissa M S. A great review resource. March 12, 2019 Lesley A. Great resource. February 15, 2019 Erika B. Great resource, thank you. November 13, 2018 Charise G. Great math supplement! June 18, 2018 Daniela S. Great! June 10, 2018 TeachPlanBeHappy Awesome resource! thanks! May 7, 2018 |
| 7th grade order of operations worksheet: Complete Curriculum, Grade 4 Flash Kids Flash Kids Editors, 2006-07-10 This complete curriculum workbook provides hundreds of fun pages for practicing all the skills your child needs to succeed in the fourth grade. |
| 7th grade order of operations worksheet: Standards-Driven 7th Grade Math (Textboo Nathaniel Max Rock, 2006-02 This guide features 180 pages of hands-on, standards-driven study material on how to understand and retain seventh grade math. Full explanations with step-by-step instructions are provided. Worksheets for each standard are provided along with two, full-length, 100-problem, comprehensive final exams. (Education) |
| 7th grade order of operations worksheet: Eight-Grade Math Minutes: One Hundred Minutes to Better Basic Skills Doug Stoffel, 2007-08 One Hundred Minutes to Better Basic Skills Take just one minute a day to quickly assess student progress in basic math skills! This book features 100 quick drill sheets to help students increase speed in math operations and strengthen problem-solving skills. The 10 problems on each sheet can be done in one or two minutes and are a great warm-up to the daily math lesson. |
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| 7th grade order of operations worksheet: Humble Math - Area, Perimeter, Volume, & Surface Area Humble Math, 2020-09-24 Lots of area, perimeter, volume, and surface area practice problems with an answer key. Area and perimeter problems can be completed by younger students. The book progresses to more advanced problems including volume, surface area, and multi-step challenge questions. A perfect workbook for those trying to learn geometry. This is a book that can grow with students as their skills develop. |
| 7th grade order of operations worksheet: Math Makes Sense Ray Appel, 2008 |
| 7th grade order of operations worksheet: MathLinks 7 Glen Holmes, 2007 |
| 7th grade order of operations worksheet: Number & Operations - Task Sheets Vol. 2 Gr. 6-8 Nat Reed, 2015-02-01 **This is the chapter slice Word Problems Vol. 2 Gr. 6-8 from the full lesson plan Number & Operations** For grades 6-8, our resource meets the number & operations concepts addressed by the NCTM standards and encourages the students to learn and review the concepts in unique ways. Each task sheet is organized around a central problem taken from real-life experiences of the students. The pages of this resource contain a variety in terms of levels of difficulty and content so as to provide students with a variety of differentiated learning opportunities. Included are problems involving place value, fractions, addition, subtraction and using money. The task sheets offer space for reflection, and opportunity for the appropriate use of technology. Also contained are assessment and standards rubrics, review sheets, color activity posters and bonus worksheets. All of our content meets the Common Core State Standards and are written to Bloom's Taxonomy, STEM, and NCTM standards. |
| 7th grade order of operations worksheet: Number & Operations - Task Sheets Vol. 5 Gr. 6-8 Nat Reed, 2015-02-01 **This is the chapter slice Word Problems Vol. 5 Gr. 6-8 from the full lesson plan Number & Operations** For grades 6-8, our resource meets the number & operations concepts addressed by the NCTM standards and encourages the students to learn and review the concepts in unique ways. Each task sheet is organized around a central problem taken from real-life experiences of the students. The pages of this resource contain a variety in terms of levels of difficulty and content so as to provide students with a variety of differentiated learning opportunities. Included are problems involving place value, fractions, addition, subtraction and using money. The task sheets offer space for reflection, and opportunity for the appropriate use of technology. Also contained are assessment and standards rubrics, review sheets, color activity posters and bonus worksheets. All of our content meets the Common Core State Standards and are written to Bloom's Taxonomy, STEM, and NCTM standards. |
| 7th grade order of operations worksheet: Effective Techniques to Motivate Mathematics Instruction Alfred Posamentier, Stephen Krulik, 2016-04-28 Effective Techniques to Motivate Mathematics Instruction offers pre-and in-service teachers best practices and techniques that can be used to motivate students in the first few minutes of any lesson in mathematics. Veteran teacher educators Posamentier and Krulik show how a bit of creativity and planning up front pays back by enabling a successful lesson on even the most challenging mathematics topic. Organized around nine different motivational techniques, each chapter includes a variety of illustrative examples of how the technique may be applied. Designed to complement any methods textbook, this practical, accessible guide helps future math teachers ease the transition from successful student to successful teacher by developing the tools needed to create motivational introductions in their classes. |
| 7th grade order of operations worksheet: Number & Operations - Task Sheets Vol. 4 Gr. 6-8 Nat Reed, 2015-02-01 **This is the chapter slice Word Problems Vol. 4 Gr. 6-8 from the full lesson plan Number & Operations** For grades 6-8, our resource meets the number & operations concepts addressed by the NCTM standards and encourages the students to learn and review the concepts in unique ways. Each task sheet is organized around a central problem taken from real-life experiences of the students. The pages of this resource contain a variety in terms of levels of difficulty and content so as to provide students with a variety of differentiated learning opportunities. Included are problems involving place value, fractions, addition, subtraction and using money. The task sheets offer space for reflection, and opportunity for the appropriate use of technology. Also contained are assessment and standards rubrics, review sheets, color activity posters and bonus worksheets. All of our content meets the Common Core State Standards and are written to Bloom's Taxonomy, STEM, and NCTM standards. |
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7st or 7th – Which is Correct? - Two Minute English
Dec 12, 2024 · When it comes to writing dates or putting things in order, knowing whether to write “7st” or “7th” can impact the clarity and correctness of your communication. Let’s get into it and …
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The 7th Judicial Circuit Court is the Court of general jurisdiction for Genesee County. The subject matter jurisdiction of the court is divided into the following general categories: Criminal, Civil, …
SEVENTH | English meaning - Cambridge Dictionary
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Cardinal and Ordinal Numbers Chart - Math is Fun
A Cardinal Number is a number that says how many of something there are, such as one, two, three, four, five. An Ordinal Number is a number that tells the position of something in a list, …
Ordinal Numbers | Learn English
This page shows how we make and say the ordinal numbers like 1st, 2nd, 3rd in English. Vocabulary for ESL learners and teachers.
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Learn seventh grade math—proportions, algebra basics, arithmetic with negative numbers, probability, circles, and more. (aligned with Common Core standards)
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7st or 7th – Which is Correct? - Two Minute English
Dec 12, 2024 · When it comes to writing dates or putting things in order, knowing whether to write “7st” or “7th” can impact the clarity and correctness of your communication. Let’s get into it and …
Best Modern Modular Sofas & Sectionals | 7th Avenue
Explore our collections of functional, beautiful modular sofas - all paired with our water-repellent, removable, & machine-washable covers. Stain Resistant. Our fabrics have the ability to withstand …
Genesee County, MI - 7th Judicial Circuit Court
The 7th Judicial Circuit Court is the Court of general jurisdiction for Genesee County. The subject matter jurisdiction of the court is divided into the following general categories: Criminal, Civil, …
SEVENTH | English meaning - Cambridge Dictionary
SEVENTH definition: 1. 7th written as a word: 2. one of seven equal parts of something 3. the interval (= distance…. Learn more.
Cardinal and Ordinal Numbers Chart - Math is Fun
A Cardinal Number is a number that says how many of something there are, such as one, two, three, four, five. An Ordinal Number is a number that tells the position of something in a list, such as 1st, …
Ordinal Numbers | Learn English
This page shows how we make and say the ordinal numbers like 1st, 2nd, 3rd in English. Vocabulary for ESL learners and teachers.
7th Grade Math | Khan Academy
Learn seventh grade math—proportions, algebra basics, arithmetic with negative numbers, probability, circles, and more. (aligned with Common Core standards)
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Learn seventh grade math skills for free! Choose from hundreds of topics including proportions, rational numbers, algebra, probability, and more. Start now!
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