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Pandora Sicilia s.r.l. 082 04$a914 100 1 $aBertacchi, Cosimo$0130663 245 10$aPuglia e Appennino /$cCosimo Bertacchi 260 $a[Firenze :$bIstituto geografico militare,$c1927?] 300 $aP. 126-142 ;$c24 cm. 500 $aEstr. da: L'universo, n. 2 (1927). 907 $a.b12830690$b02-04-14$c16-04-04 912 $a991001836159707536 945 $aLE009 GEOG.MISC. 2/2$g1$i2009000256194$lle009$o-$pE0.00$q-$rn$so $t0$u0$v0$w0$x0$y.i13382767$z16-04-04 996 $aPuglia e Appennino$9297126 997 $aUNISALENTO 998 $ale009$b16-04-04$cm$da $e-$fita$git $h0$i1 LEADER 04251oam 2200469 450 001 996466389203316 005 20240208134800.0 010 $a3-658-32574-7 024 7 $a10.1007/978-3-658-32574-9 035 $a(OCoLC)1258669429 035 $a(MiFhGG)GVRL571M 035 $a(EXLCZ)995590000000516562 100 $a20230905h20212021 uy 0 101 0 $aeng 135 $aurun#---uuuua 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFractions, ratios, and roots $erediscover the basics and learn about interesting applications /$fRenate Motzer 205 $a1st ed. 2021. 210 1$aWiesbaden, Germany :$cSpringer,$d[2021] 210 4$d©2021 215 $a1 online resource (viii, 59 pages) $cillustrations, charts 225 1 $aSpringer essentials,$x2731-3115 311 $a3-658-32573-9 320 $aIncludes bibliographical references and index. 327 $aIntro -- What You Can Find in This essential -- Contents -- 1 Introduction -- 2 What Are (Common) Fractions? -- 3 Fractions as Parts of a Whole -- 3.1 The Whole as a Circle or Rectangle? -- 3.2 Addition and Subtraction of Fractions -- 3.3 Multiplication and Division -- 3.4 Sample Exercises for Skimming -- 4 Fractions as Ratios -- 4.1 The Ratio Aspect of Fractions -- 4.2 The Miraculous Multiplication of Areas -- 4.3 The Simpson Paradox -- 5 Ordering Fractions -- 6 Decimal Fractions -- 6.1 Finite Decimal Fractions -- 6.2 Infinite Decimal Numbers -- 7 Percentage Calculations -- 8 Irrational Numbers -- 8.1 Root Extraction -- 8.2 The Golden Ratio -- 9 Probabilities -- 9.1 Probability Approaches -- 9.2 Conditional Probability -- 9.3 Hypothesis Testing -- 10 Various Mean Values -- 11 Conclusion -- What You Learned From This essential -- Literature -- Internet source for drawn lotto numbers -- Further examples for the appearance of the golden ratio -- Soccer statistics can be read for example at. 330 $aRenate 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. 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