You Can Do Math: Repeating Decimals

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.