Comparing Rational Numbers Worksheet

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  comparing rational numbers worksheet: The Algebra Teacher's Guide to Reteaching Essential Concepts and Skills Judith A. Muschla, Gary R. Muschla, Erin Muschla, 2011-10-25 Easy to apply lessons for reteaching difficult algebra concepts Many students have trouble grasping algebra. In this book, bestselling authors Judith, Gary, and Erin Muschla offer help for math teachers who must instruct their students (even those who are struggling) about the complexities of algebra. In simple terms, the authors outline 150 classroom-tested lessons, focused on those concepts often most difficult to understand, in terms that are designed to help all students unravel the mysteries of algebra. Also included are reproducible worksheets that will assist teachers in reviewing and reinforcing algebra concepts and key skills. Filled with classroom-ready algebra lessons designed for students at all levels The 150 mini-lessons can be tailored to a whole class, small groups, or individual students who are having trouble This practical, hands-on resource will help ensure that students really get the algebra they are learning
  comparing rational numbers worksheet: Try Out 7 Rao Indiraa Seshagiri, 2008-09
  comparing rational numbers worksheet: Merrill Algebra 1 Applications and Connections Reteaching Masters Earl Ostroff, 1995
  comparing rational numbers worksheet: The Fabric of Mathematics Mary Laycock, Gene Watson, 1975
  comparing rational numbers worksheet: Me n Mine POW Mathematics Class 07 Manisha Mathur, Me ‘n’ Mine Pullout Worksheets Mathematics is a complete practice material for students in the form of worksheets through which they can revise concepts and identify the areas of improvement. Assessment of all the topics can be comprehensively done through these sets. The series also comprises solved and unsolved practice papers as per latest CBSE syllabus and guidelines. Along with the basic exercises the series also comprises various elements of the formative assessment like puzzles, crosswords, projects, etc.
  comparing rational numbers worksheet: Ready to Step Up: AN Interactive Bridge Course Class 8 Madhubun, Madhubun's Ready to Step Up – An Interactive Bridge Course for classes 3 – 8, each consisting of separate booklets for English, Hindi, Mathematics, Science, ...
  comparing rational numbers worksheet: Figuring Out Fluency – Operations With Rational Numbers and Algebraic Equations Jennifer M. Bay-Williams, John J. SanGiovanni, C. David Walters, Sherri Martinie, 2022-07-25 This book is awesome! What stood out to me was the deep understanding I was able to have about what fluency actually means. Too often the message has been fluency and accuracy, especially at the middle school level. By providing teachers with tools for building fluency with integers, expressions, and algebra, this book shifts that message to also focus on flexibility and strategy selection. Lindsey Henderson Secondary Mathematics Specialist, Utah State Board of Education Salt Lake City, UT Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. It is not about speed or recall. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is also a matter of equity and access for all learners. The landmark book Figuring Out Fluency in Mathematics Teaching and Learning offered educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. Now, teachers have the chance to apply that inspiration through explicit instruction and practice every day with the classroom companion Figuring Out Fluency—Operations With Rational Numbers and Algebraic Equations. With this book, teachers can Dive deeper into the Significant Strategies for fluency explained in the anchor book as they apply to rational number operations Explore how these strategies can be applied for proportional reasoning, solving equations for unknowns, and solving systems of linear equations Access over 100 classroom-ready activities, including worked examples, routines, and games. Find activities to explicitly teach students how to use and choose strategies to operate on rational numbers and solve algebraic equations Download all of the needed support tools, game boards, and other resources from the companion website for immediate implementation Give each and every student the knowledge and power to become skilled and confident mathematical thinkers and doers.
  comparing rational numbers worksheet: WORKBOOK MATH CBSE- CLASS 7TH Experts Compilation, 2017-11-02
  comparing rational numbers worksheet: Teaching Elementary School Mathematics Herbert Frederick Spitzer, 1967
  comparing rational numbers worksheet: Enriching Your Math Curriculum Lainie Schuster, 2010 Presents practices and routines designed to support and nourish teachers as they prepare and present a meaningful year of mathematics instruction for fifth-grade mathematicians. Offers activities, lessons, and narration that can be easily adapted or adjusted to fit the particular needs of the students or the requirements of a prescribed curriculum--
  comparing rational numbers worksheet: Maths Mate – 8 NEW Madhubun, 1. It is a series of eight textbooks for Classes 1 to 8 that conforms to the vision of National Curriculum Framework and is written in accordance with the latest syllabus of the CBSE. 2. Learning Objectives: Lists well what a learner will know and be able to do after studying the chapter. 3. Let’s Recall: Refreshes the concepts learnt in the form of a revision exercise to brush up the concepts taught in previous chapters or grades. 4. Let’s Begin: Introduction to the chapter. 5. My Notes: Tips to help the learner remember the important points/formulae taught in the chapter. 6. Let’s Try: Simple straight forward questions for quick practice while studying any topic based on the first two levels of Bloom’s Taxonomy —Knowledge and Understanding. 7. Error Alarm: Common mistakes which learners commit often along with the correct way of doing the same. 8. Know More: Additional information for the learners relating to the concepts learnt in the chapter 9. Maths in My Life includes questions relating Maths to daily life and which can help relate the topic with the environment (life) around us. 10. Tricky Maths: Challenge questions to help the learners build thinking skills and reasoning skills by solving tricky questions. 11. Project Work: Projects which can help learners connect Math with our daily life or that take the concepts learnt to a new level. 12. Concept Map: Summary points to list the important concepts learnt in the chapter in a crisp form. 13. Test Zone: Revision exercise of the concepts learnt in the chapter. This includes both objective and subjective type of questions. 14. Mental Maths: Maths problems for performing faster calculations mentally. 15. Maths Master: Involves deep critical thinking of learners about any topic, concept, relation, fact or anything related to that chapter. May have open ended questions or extension of the topic. 16. Application in Real-Life: Every chapter in each book also explains how and where it is used in daily life. 17. In the Lab: Math lab activities for helping the learners understand the concepts learnt through hands-on experience. 18. Practice Zone: Chapter-wise practice sheets includes subjective questions for additional practice which are a part of each book.
  comparing rational numbers worksheet: Mathematics Lesson Study Around the World Marisa Quaresma, Carl Winsløw, Stéphane Clivaz, João Pedro da Ponte, Aoibhinn Ní Shúilleabháin, Akihiko Takahashi, 2018-03-23 This book introduces the specifics of mathematics lesson study with regard to regional/national particularities, discussing the methodological and theoretical tools that can be used to pursue research on lesson study (its forms, contents, effects etc.) from an international perspective. Lesson study and learning study (LS) are becoming increasingly important in teacher education, mostly in continuous professional development, but also in prospective teachers’ education, and this interest is accompanied by a demand for more solid theorization of the lesson study process. A number of social, cultural, cognitive and affective issues are reflected in the way LS develops, and the book examines the latest results of these developments.
  comparing rational numbers worksheet: Introducing Nonroutine Math Problems to Secondary Learners Robert London, 2023-08-22 Offering secondary math educators an innovative holistic and process-orientated approach for implementing nonroutine problems into their curriculum, this book defines and establishes practical strategies to develop students’ problem-solving skills. The text focuses on the process skills necessary to solve nonroutine problems in mathematics and other subjects, with the goal of making students better problem-solvers both in and outside of the classroom. Chapters present and define a curriculum of over 60 nonroutine problems in mathematics and other content areas, and explore the pedagogy to implement this type of curriculum consistent with the NCTM Standards and Principles to Action. Four different models of implementation are discussed, alongside a structured approach through seven difficulty levels (with examples), to ensure that every student, independent of their mastery of mathematics content, can improve their ability to solve nonroutine problems. It emphasizes to students how to transfer their problem-solving skills to other real-world areas, including increasing ecological awareness, appreciating diversity and addressing significant and meaningful problems in their life, school and community. The curriculum introduced in this book can be included as a component of a traditional four-year academic high school curriculum aligned with the Common Core Mathematical Practices, or as part of a one-year isolated required or elective mathematics course. Based on extensive field-testing this approach has been effective in both traditional mathematics courses and math electives such as a course in Problem-Solving. This book provides the necessary guidance to allow each mathematics teacher to effectively integrate the approach in their classrooms. This book is ideal for secondary mathematics teachers of all levels, as well as teachers of mathematics electives.
  comparing rational numbers worksheet: MathLinks 9 Bruce McAskill, 2009
  comparing rational numbers worksheet: Reflecting the World Mathew D. Felton?Koestler, Ksenija Simic?Muller, José María Menéndez, 2017-02-01 Reflecting the World: A Guide to Incorporating Equity in Mathematics Teacher Education is a guide for mathematics teacher educators interested in incorporating equity concerns into their teaching. The book draws on the authors’ research and experience integrating issues of equity, diversity, and social justice into their work as mathematics teacher educators of preservice and inservice preK?9 teachers. Reflecting the World includes both a framework for integrating issues of equity into mathematics teacher education courses and professional development and example lessons. The lessons are organized by content area and include guidance for using them effectively. Elementary and middle grades pre?service teachers are often uncomfortable with mathematics, uncertain about their ability to teach it, and unsure of how it connects to the real world. For many preservice teachers a focus on the real world—and in particular on issues of equity, diversity, and social justice—is more engaging than their past experiences with mathematics and can help lessen their mathematical anxieties. Reflecting the World will assist teacher educators in designing and teaching mathematics content and methods courses in ways that support future teachers to see the relevance of mathematics to our world and in becoming critical, questioning citizens in an increasingly mathematical world. The book provides a set of tools for helping future teachers connect mathematics to the lives, interests, and political realities of an increasingly diverse student body, and in doing so it provides a meaningful answer to the question, “when will I ever use this?”
  comparing rational numbers worksheet: Prealgebra Lynn Marecek, MaryAnne Anthony-Smith, 2015-09-25 Prealgebra is designed to meet scope and sequence requirements for a one-semester prealgebra course. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. Prealgebra follows a nontraditional approach in its presentation of content. The beginning, in particular, is presented as a sequence of small steps so that students gain confidence in their ability to succeed in the course. The order of topics was carefully planned to emphasize the logical progression throughout the course and to facilitate a thorough understanding of each concept. As new ideas are presented, they are explicitly related to previous topics.--BC Campus website.
  comparing rational numbers worksheet: Converting Rational Numbers to Decimals (CCSS 7. NS. A. 2d) Lorenz Educational, 2014
  comparing rational numbers worksheet: Discovering Mathematics with Maple R.J. Stroeker, J.F. Kaashoek, 2012-12-06 This unusual introduction to Maple shows readers how Maple or any other computer algebra system fits naturally into a mathematically oriented work environment. Designed for mathematicians, engineers, econometricians, and other scientists, this book shows how computer algebra can enhance their theoretical work. A CD-ROM contains all the Maple worksheets presented in the book.
  comparing rational numbers worksheet: S. Chand's Smart Maths book 8 Sheela Khandelwall, S Chand's Smart Maths is a carefully graded Mathematics series of 9 books for the children of KG to Class 8. The series adheres to the National Curriculum Framework and the books have been designed in accordance with the latest guidelines laid down by the NCERT.
  comparing rational numbers worksheet: Book of Proof Richard H. Hammack, 2016-01-01 This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.
  comparing rational numbers worksheet: How Students Learn National Research Council, Division of Behavioral and Social Sciences and Education, Committee on How People Learn, A Targeted Report for Teachers, 2005-01-23 How do you get a fourth-grader excited about history? How do you even begin to persuade high school students that mathematical functions are relevant to their everyday lives? In this volume, practical questions that confront every classroom teacher are addressed using the latest exciting research on cognition, teaching, and learning. How Students Learn: History, Mathematics, and Science in the Classroom builds on the discoveries detailed in the bestselling How People Learn. Now, these findings are presented in a way that teachers can use immediately, to revitalize their work in the classroom for even greater effectiveness. Organized for utility, the book explores how the principles of learning can be applied in teaching history, science, and math topics at three levels: elementary, middle, and high school. Leading educators explain in detail how they developed successful curricula and teaching approaches, presenting strategies that serve as models for curriculum development and classroom instruction. Their recounting of personal teaching experiences lends strength and warmth to this volume. The book explores the importance of balancing students' knowledge of historical fact against their understanding of concepts, such as change and cause, and their skills in assessing historical accounts. It discusses how to build straightforward science experiments into true understanding of scientific principles. And it shows how to overcome the difficulties in teaching math to generate real insight and reasoning in math students. It also features illustrated suggestions for classroom activities. How Students Learn offers a highly useful blend of principle and practice. It will be important not only to teachers, administrators, curriculum designers, and teacher educators, but also to parents and the larger community concerned about children's education.
  comparing rational numbers worksheet: Composite Mathematics For Class 8 ANUBHUTI GANGAL, Composite Mathematics is a series of books for Pre Primer to Class 8 which conforms to the latest CBSE curriculum. The main aim of writing this series is to help the children understand difficult mathematical concepts in a simple manner in easy language.
  comparing rational numbers worksheet: Proofs from THE BOOK Martin Aigner, Günter M. Ziegler, 2013-06-29 According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such perfect proofs, those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.
  comparing rational numbers worksheet: Social Science Research Anol Bhattacherjee, 2012-04-01 This book is designed to introduce doctoral and graduate students to the process of conducting scientific research in the social sciences, business, education, public health, and related disciplines. It is a one-stop, comprehensive, and compact source for foundational concepts in behavioral research, and can serve as a stand-alone text or as a supplement to research readings in any doctoral seminar or research methods class. This book is currently used as a research text at universities on six continents and will shortly be available in nine different languages.
  comparing rational numbers worksheet: Discrete Mathematics Oscar Levin, 2016-08-16 This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the introduction to proof course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this. Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs. The book contains over 360 exercises, including 230 with solutions and 130 more involved problems suitable for homework. There are also Investigate! activities throughout the text to support active, inquiry based learning. While there are many fine discrete math textbooks available, this text has the following advantages: It is written to be used in an inquiry rich course. It is written to be used in a course for future math teachers. It is open source, with low cost print editions and free electronic editions.
  comparing rational numbers worksheet: Principles and Standards for School Mathematics , 2000 This easy-to-read summary is an excellent tool for introducing others to the messages contained in Principles and Standards.
  comparing rational numbers worksheet: Pre-Algebra, Grades 5-8 Mary Lee Vivian, Margaret Thomas, 2003 A top-selling teacher resource line, The 100+ Series(TM) features over 100 reproducible activities in each book! --This revised edition of Pre-Algebra links all the activities to the NCTM Standards. The activities were designed to provide students with practice in the skill areas necessary to master the concepts introduced in a course of pre-algebra. Reinforcing operations skills with both decimals and fractions plus activities involving ratios, integers, proportions, percents, rational numbers, simple equations, plotting coordinates, and graphing linear equations are all part of this new edition. Examples of solution methods are presented at the top of each page. New puzzles and riddles have been added to gauge the success of skills learned. It also contains a complete answer key.
  comparing rational numbers worksheet: Word Problems, Grade 7 , 2013-12-02 Spectrum(R) Word Problems for grade 7 includes practice for essential math skills, such as real world applications, multi-step word problems, variables, ratio and proportion, perimeter, area and volume, percents, statistics and more. Spectrum(R) Word Problems supplement to classroom work and proficiency test preparation. The series provides examples of how the math skills students learn in school apply to everyday life with challenging, multi-step word problems. It features practice with word problems that are an essential part of the Common Core State Standards. Word problem practice is provided for essential math skills, such as fractions, decimals, percents, metric and customary measurement, graphs and probability, and preparing for algebra and more.
  comparing rational numbers worksheet: Looking at Numbers Mary N. Ambrose, 1958
  comparing rational numbers worksheet: Primary Grade Challenge Math Edward Zaccaro, 2003-06-01 Offers a higher level of material that goes beyond calculation skills for children in the primary grades.
  comparing rational numbers worksheet: Prentice Hall Mathematics , 2008
  comparing rational numbers worksheet: Math Word Problems Sullivan Associates Staff, 1972
  comparing rational numbers worksheet: Spontaneous Focusing on Numerosity in the Development of Early Mathematical Skills Minna M. Hannula, 2005
  comparing rational numbers worksheet: Common Core Student Edition Grade 8 2014 Hmd Hmd, 2013 Unpacking the Standards features focus on important academic vocabulary and offer examples and non-examples to clarify learning goals. Interactive lessons allow you to actively participate and develop a deeper understanding of math concepts. Practice and Problem Solving pages provide opportunities for mathematical modeling as you practice and apply new concepts in real-world contexts. Leveled Performance Tasks and Problem Solving Connections help you pull together math concepts and skills and apply them to real-world situations. Assessment Readiness provides you with opportunities to practice and prepare for your high-stakes test. QR codes make it easy to use your smart phone or tablet to access online resources, including video tutorials, interactive animations, and PARCC assessment readiness practice.--Back cover.
  comparing rational numbers worksheet: Math 2011 Student Edition (Consumable) Grade K Plus Digital 1-Year License Randall Inners Charles, Scott Foresman, 2009 Envision a math program that engages your students as it strengthens their understanding of math. enVisionMATH uses problem based interactive learning and visual learning to deepen conceptual understanding. It incorporates bar diagram visual tools to help students be better problem solvers, and it provides data-driven differentiated instruction to ensure success for every student. The best part, however, is that this success is proven by independent, scientific research. Envision more, enVisionMATH!
  comparing rational numbers worksheet: Number Concepts and Operations in the Middle Grades James Hiebert, Merlyn J. Behr, 1988 For many students, learning mathematics in the middle grades represents a watershed activity. If they fall behind or fail at this point, they are unlikely to recover and to pursue a career in the sciences or other mathematics-dependent occupations. The authors reveal at least two of the reasons for this watershed experience. First, the content itself is much more complex than that at the primary grades, a complexity that is only now being fully appreciated. Second, conventional instruction often is based on faulty assumptions about the way in which the content is learned. The chapters present the latest understanding of the nature of the mathematics content in the middle grades and the processes by which it is learned.
  comparing rational numbers worksheet: Grade 4 Multiplication , 2008-07 Our Calculation Workbooks follow the Kumon Method, a proven learning system that helps children succeed and excel in math. Kumon Workbooks gradually introduce new topics in a logical progression and always include plenty of practice. As a result, children master one skill at a time and move forward without anxiety or frustration.
  comparing rational numbers worksheet: Math Makes Sense 7 Ray Appel, 2016
  comparing rational numbers worksheet: Dissertation Abstracts International , 1973 Abstracts of dissertations available on microfilm or as xerographic reproductions.
  comparing rational numbers worksheet: Holt McDougal Mathematics Grade 6 Jennie M. Bennett, Edward B. Burger, David J. Chard, Earlene J. Hall, Holt McDougal, Houghton Mifflin Harcourt Publishing Company, Paul A. Kennedy, Freddie Lee Renfro, Tom W. Roby, Janet K. Scheer, Bert K. Waits, 2012 The new Holt McDougal Mathematics for middle school provides complete and comprehensive coverage of the Common Core State Standards with content and standards of mathematical practices documented throughout every lesson. The unique integrated assessment and intervention features, Are You Ready and Ready To Go On, demonstrate if the students have the prerequisite depth of knowledge to proceed with the chapter content. In order to be a good problem solver, students need a good problem-solving process. The process used in this book is: understand the problem, make a plan, solve, look back. - Publisher.
comparing with vs compared with | WordReference Forums
Sep 7, 2012 · Comparing it with classical physics, we see that modern physics can be referred to . . . 'We' are the ones comparing (the subordinate clause gets its subject from the main clause), and …

comparing it against/with - WordReference Forums
Aug 5, 2011 · The following is from an English exercise given by my son's teacher. 40% of lizard species worldwide could be extinct by 2080. Barry Sinerro reached the conclusion by taking …

comparing with / compared with | WordReference Forums
May 20, 2008 · Hi Mary, "Comparing with" is awkward English at best; I wouldn't use it at all. "Compared with" is definitely much better. Patty M

compare A (with / and) B - WordReference Forums
Aug 7, 2013 · Dear all, I compared prices in Tokyo (and / with) Singapore. Are there any difference in meaning or nuance between compare 'A and B' and 'A with B'? I would appreciate any comments.

apples & pears | WordReference Forums
Jun 1, 2006 · Aha - you're talking about comparing apples with apples - that's completely different. If someone is comparing two things and making the point that thing A is much better than thing …

Comparison VS Comparing - WordReference Forums
Mar 30, 2018 · The meaning of comperison in Longman dictionary The process of compairing two or more people or things. EX: 1) Comparison with his previous movies shows how Lee has …

Comparing numbers (large vs great vs big vs high)
May 7, 2009 · Hi there! This is my first post on this forum! When comparing numbers/quantities, what is (are) the correct adjective(s) to use? 2 is larger, bigger, higher, greater than 1? Does it …

how to form the comparative of color-adjectives
Sep 8, 2010 · what are the comparative form of these adjetives: orange, pink, blue, white, red, yellow, purple, blue, green, black, etc. Are there any rules for the comparative form of tese color …

Less + Adjective + than | WordReference Forums
Mar 19, 2019 · Hi There, What are the rules of forming negative comparative sentences? With adjective of more than 2 syllables, it seems like substituting more with less works all the time. A …

a better / the better/ the best [Comparative adjectives]
Mar 20, 2011 · "The better" is a superlative that only applies when comparing two people or things. "The best" is not wrong when comparing just two, but "the better" makes clear that the …

comparing with vs compared with | WordReference Forums
Sep 7, 2012 · Comparing it with classical physics, we see that modern physics can be referred to . . . 'We' are the ones comparing (the subordinate clause gets its subject from the main clause), …

comparing it against/with - WordReference Forums
Aug 5, 2011 · The following is from an English exercise given by my son's teacher. 40% of lizard species worldwide could be extinct by 2080. Barry Sinerro reached the conclusion by taking …

comparing with / compared with | WordReference Forums
May 20, 2008 · Hi Mary, "Comparing with" is awkward English at best; I wouldn't use it at all. "Compared with" is definitely much better. Patty M

compare A (with / and) B - WordReference Forums
Aug 7, 2013 · Dear all, I compared prices in Tokyo (and / with) Singapore. Are there any difference in meaning or nuance between compare 'A and B' and 'A with B'? I would …

apples & pears | WordReference Forums
Jun 1, 2006 · Aha - you're talking about comparing apples with apples - that's completely different. If someone is comparing two things and making the point that thing A is much better than thing …

Comparison VS Comparing - WordReference Forums
Mar 30, 2018 · The meaning of comperison in Longman dictionary The process of compairing two or more people or things. EX: 1) Comparison with his previous movies shows how Lee has …

Comparing numbers (large vs great vs big vs high)
May 7, 2009 · Hi there! This is my first post on this forum! When comparing numbers/quantities, what is (are) the correct adjective(s) to use? 2 is larger, bigger, higher, greater than 1? Does it …

how to form the comparative of color-adjectives
Sep 8, 2010 · what are the comparative form of these adjetives: orange, pink, blue, white, red, yellow, purple, blue, green, black, etc. Are there any rules for the comparative form of tese …

Less + Adjective + than | WordReference Forums
Mar 19, 2019 · Hi There, What are the rules of forming negative comparative sentences? With adjective of more than 2 syllables, it seems like substituting more with less works all the time. …

a better / the better/ the best [Comparative adjectives]
Mar 20, 2011 · "The better" is a superlative that only applies when comparing two people or things. "The best" is not wrong when comparing just two, but "the better" makes clear that the …