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Description
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.