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FIRST BOOK IN ARITHMETIC

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HOPKINS AND UNDERWOOD'S

NEW ARITHMETICS

FIRST BOOK

BY

JOHN W. HOPKINS

SUPERINTENDENT OF THE GALVESTON PUBLIC SCHOOLS

AND

P. H. UNDERWOOD

TEACHER OF MATHEMATICS, BALL HIGH SCHOOL, GALVESTON, TEXAS

New York

THE MACMILLAN COMPANY

LONDON: MACMILLAN & CO., LTD.

1907

All rights reserved

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Set

COPYRIGHT, 1903, 1907,

BY THE MACMILLAN COMPANY.

up and electrotyped. Published September, 1903. Reprinted
November, 1903.

New edition, September, 1907.

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PREFACE

THE Beginners' Book is intended for the second, third, and fourth years of school. During the first year of school, an arithmetical text should not be used by the pupil. Part I furnishes an abundance of material for one year's work. Part II deals with the four fundamental rules applied to integers and to United States Money. Part III deals with Fráctions, Decimals, Compound Quantities, and Percentage. The subject of Decimals is early introduced, as it should be, thus affording a review of the fundamental operations and at the same time an insight into practical computation. In writing this book it has not been forgotten that arithmetic is an art, and that for beginners the most essential thing is practice in the art of numbers. A characteristic feature of the book is that the examples, with very few exceptions, involve only one of the fundamental processes. Beginners do not possess the ability to follow a chain of reasoning, but they readily acquire new facts and ideas. Therefore the explanations of processes are brief and are illustrated so that there may be a visual basis of comprehension.

GALVESTON, TEXAS,

June 21, 1907.

THE AUTHORS.

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