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 decimal What is a repeating decimal Different types of repeating decimal notation (including common US and UK notations) The disadvantages of using ellipses to represent repeating decimal numbers Converting between the different types of repeating decimal notation Identifying the reptend of repeating decimals Understanding spoken-English descriptions of repeating decimals The problems with common spoken-English ways of pronouncing repeating decimals How to unambiguously state repeating decimal values in spoken-English Rational numbers are numbers that can be expressed as fractions All rational numbers are terminating or repeating decimals Irrational numbers are numbers that can not be expressed as fractions All irrational numbers are non-terminating non-repeating decimals Converting a fraction into its equivalent terminating or repeating decimal Why all fractions must convert into either terminating decimals or repeating decimals Which fractions convert into terminating decimals and which into repeating decimals How to convert repeating decimals into their equivalent fractions Every 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.