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You Can Do Math : Repeating Decimals - Sunil Tanna

You Can Do Math

Repeating Decimals

By: Sunil Tanna

Booklet | 19 February 2015

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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.

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