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The 9-point circle at the beginning of each chapter of this book is the pattern for one divided by the chapter number. So for Chapter 19 the recurring decimal for is shown. Non-recurring decimals like are considered to have zero recurring at the end: .

This page is a summary of all the diagrams of recurring decimals used at the beginning of each chapter. Please refer to Chapter 18 for more information on how the calculations are performed.

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