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MENTAL ARITHMETIC

•The co

MENTAL ARITHMETIC

BY

JOHN W. HOPKINS

SUPERINTENDENT OF THE GALVESTON SCHOOLS

AND

P. H. UNDERWOOD

TEACHER OF MATHEMATICS IN THE BALL HIGH SCHOOL
GALVESTON, TEXAS

New York

THE MACMILLAN COMPANY

LONDON: MACMILLAN & CO., LTD.

1903

All rights reserved

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PREFACE

THE purpose of mental arithmetic is to enable pupils to perform the simple computations which occur daily in business life, to introduce them to the art of reasoning, and to train them to think on their feet.

In writing this book the authors have aimed to give a large number and variety of easy exercises in the essentials of arithmetic; namely, the four fundamental rules, fractions, decimals, simple measurements, and per cent. They have kept to the core of the subject and have not allowed themselves to be diverted by the methods and practices of other text-book writers on this subject. Accordingly, conundrums which have done service for generations have been omitted. The hound no longer chases the hare; the fish with large head and long tail swims undisturbed in the briny deep; the ass and the mule sigh no more over their heavy burdens.

The authors have endeavored to make the book

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