Fractions, Ratios, and Roots

Fractions, Ratios, and Roots PDF Author: Renate Motzer
Publisher: Springer
ISBN: 9783658325732
Category : Mathematics
Languages : en
Pages : 59

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Book Description
Renate Motzer introduces the world of fractions and connects them with decimal numbers. She clearly shows that fractions can be understood as parts of a whole, but also as ratios of two quantities. The author clearly shows why roots cannot be exactly indicated by fractions, how to find good approximations and why an unusual addition of fractions can lead to paradoxical results. Furthermore, she explains the use of fractions in percentage and probability calculations in a practical way and finally discusses different ways of forming mean values. This Springer essential is a translation of the original German 1st edition essentials, Brüche, Verhältnisse und Wurzeln by Renate Motzer, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2018. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.

Fractions, Ratios, and Roots

Fractions, Ratios, and Roots PDF Author: Renate Motzer
Publisher: Springer
ISBN: 9783658325732
Category : Mathematics
Languages : en
Pages : 59

Get Book Here

Book Description
Renate Motzer introduces the world of fractions and connects them with decimal numbers. She clearly shows that fractions can be understood as parts of a whole, but also as ratios of two quantities. The author clearly shows why roots cannot be exactly indicated by fractions, how to find good approximations and why an unusual addition of fractions can lead to paradoxical results. Furthermore, she explains the use of fractions in percentage and probability calculations in a practical way and finally discusses different ways of forming mean values. This Springer essential is a translation of the original German 1st edition essentials, Brüche, Verhältnisse und Wurzeln by Renate Motzer, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2018. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.

Elements of Arithmetic, Fractions, Decimals, Weights and Measures, Ratio and Proportion, Powers and Roots, Mensuration, Formulas, Cube Root, Trigonometry and Graphs, Use of Trigonometric Tables, Commercial Calculations, Logarithms

Elements of Arithmetic, Fractions, Decimals, Weights and Measures, Ratio and Proportion, Powers and Roots, Mensuration, Formulas, Cube Root, Trigonometry and Graphs, Use of Trigonometric Tables, Commercial Calculations, Logarithms PDF Author:
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 624

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Book Description


Prealgebra 2e

Prealgebra 2e PDF Author: Lynn Marecek
Publisher:
ISBN: 9781680923261
Category :
Languages : en
Pages : 1148

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Book Description
The images in this book are in color. For a less-expensive grayscale paperback version, see ISBN 9781680923254. Prealgebra 2e 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. Students who are taking basic mathematics and prealgebra classes in college present a unique set of challenges. Many students in these classes have been unsuccessful in their prior math classes. They may think they know some math, but their core knowledge is full of holes. Furthermore, these students need to learn much more than the course content. They need to learn study skills, time management, and how to deal with math anxiety. Some students lack basic reading and arithmetic skills. The organization of Prealgebra makes it easy to adapt the book to suit a variety of course syllabi.

An elementary treatise on algebra. [With] Key

An elementary treatise on algebra. [With] Key PDF Author: James Thomson
Publisher:
ISBN:
Category :
Languages : en
Pages : 328

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Book Description


Fractions, Ratios, and Roots

Fractions, Ratios, and Roots PDF Author: Renate Motzer
Publisher:
ISBN: 9783658325756
Category :
Languages : en
Pages : 0

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Book Description
Renate Motzer introduces the world of fractions and connects them with decimal numbers. She clearly shows that fractions can be understood as parts of a whole, but also as ratios of two quantities. The author clearly shows why roots cannot be exactly indicated by fractions, how to find good approximations and why an unusual addition of fractions can lead to paradoxical results. Furthermore, she explains the use of fractions in percentage and probability calculations in a practical way and finally discusses different ways of forming mean values. This Springer essential is a translation of the original German 1st edition essentials, Brüche, Verhältnisse und Wurzeln by Renate Motzer, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2018. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors. The contents What are (common) fractions? Fractures as ratios Irrational numbers Conditional probabilities The target groups Lecturers and students of mathematics or students who want to repeat basic knowledge of fractions for their statistics lectures People interested in mathematics, who want to refresh and expand their knowledge from fractions to hypothesis testing from school The Author Dr. Renate Motzer is an academic senior councillor at the Chair for Didactics of Mathematics at the University of Augsburg. Her main focus is the didactic and professional training of future mathematics teachers at various types of schools.

An Elementary Treatise on Algebra

An Elementary Treatise on Algebra PDF Author: James Thomson
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 316

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Book Description


Sourcebook in the Mathematics of Medieval Europe and North Africa

Sourcebook in the Mathematics of Medieval Europe and North Africa PDF Author: Victor J. Katz
Publisher: Princeton University Press
ISBN: 0691156859
Category : Mathematics
Languages : en
Pages : 592

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Book Description
Medieval Europe was a meeting place for the Christian, Jewish, and Islamic civilizations, and the fertile intellectual exchange of these cultures can be seen in the mathematical developments of the time. This sourcebook presents original Latin, Hebrew, and Arabic sources of medieval mathematics, and shows their cross-cultural influences. Most of the Hebrew and Arabic sources appear here in translation for the first time. Readers will discover key mathematical revelations, foundational texts, and sophisticated writings by Latin, Hebrew, and Arabic-speaking mathematicians, including Abner of Burgos's elegant arguments proving results on the conchoid—a curve previously unknown in medieval Europe; Levi ben Gershon’s use of mathematical induction in combinatorial proofs; Al-Mu’taman Ibn Hūd’s extensive survey of mathematics, which included proofs of Heron’s Theorem and Ceva’s Theorem; and Muhyī al-Dīn al-Maghribī’s interesting proof of Euclid’s parallel postulate. The book includes a general introduction, section introductions, footnotes, and references. The Sourcebook in the Mathematics of Medieval Europe and North Africa will be indispensable to anyone seeking out the important historical sources of premodern mathematics.

Continued Fractions

Continued Fractions PDF Author: Aleksandr I?Akovlevich Khinchin
Publisher: Courier Corporation
ISBN: 9780486696300
Category : Mathematics
Languages : en
Pages : 116

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Book Description
Elementary-level text by noted Soviet mathematician offers superb introduction to positive-integral elements of theory of continued fractions. Clear, straightforward presentation of the properties of the apparatus, the representation of numbers by continued fractions, and the measure theory of continued fractions. 1964 edition. Prefaces.

Plant Roots

Plant Roots PDF Author: Yoav Waisel
Publisher: CRC Press
ISBN: 0824744748
Category : Science
Languages : en
Pages : 1749

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Book Description
The third edition of a standard resource, this book offers a state-of-the-art, multi-disciplinary presentation of plant roots. It examines structure and development, assemblage of root systems, metabolism and growth, stressful environments, and interactions at the rhizosphere. Reflecting the explosion of advances and emerging technologies in the field, the book presents developments in the study of root origin, composition, formation, and behavior for the production of novel pharmaceutical and medicinal compounds, agrochemicals, dyes, flavors, and pesticides. It details breakthroughs in genetics, molecular biology, growth substance physiology, biotechnology, and biomechanics.

New National Framework Mathematics 8+ Teacher Planning Pack

New National Framework Mathematics 8+ Teacher Planning Pack PDF Author: M. J. Tipler
Publisher: Nelson Thornes
ISBN: 0748778853
Category : Lesson planning
Languages : en
Pages : 336

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Book Description
Each lesson plan contains everything you will need to teach the course including Framework Objectives & Medium Term Planning references, resources needed, starter and plenary ideas and links to Homework activities. The pack also features mappings to the Framework for teaching mathematics and the Medium Term Plan, National Curriculum/Framework planning grids.