This book is a complete introduction to repeating decimals (also known as "recurring decimals"), including how to convert repeating decimals into fractions, and is based on the author's personal experience providing 1:1 mathematics tuition to both school students and adult numeracy students. Topics covered include: What is a terminating decimalWhat is a repeating decimalDifferent types of repeating decimal notation (including common US and UK notations)The disadvantages of using ellipses to represent repeating decimal numbersConverting between the different types of repeating decimal notationIdentifying the reptend of repeating decimalsUnderstanding spoken-English descriptions of repeating decimalsThe problems with common spoken-English ways of pronouncing repeating decimalsHow to unambiguously state repeating decimal values in spoken-EnglishRational numbers are numbers that can be expressed as fractionsAll rational numbers are terminating or repeating decimalsIrrational numbers are numbers that can not be expressed as fractionsAll irrational numbers are non-terminating non-repeating decimalsConverting a fraction into its equivalent terminating or repeating decimalWhy all fractions must convert into either terminating decimals or repeating decimalsWhich fractions convert into terminating decimals and which into repeating decimalsHow to convert repeating decimals into their equivalent fractionsEvery topic is explained in detail, complete with many step-by-step worked examples. Additionally. major topics are immediately followed by a set of practice questions, the answers to which can be found at the end of each chapter.
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