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Elementary Arithmetic,

EMBRACING

MENTAL AND WRITTEN EXERCISES,

FOR BEGINNERS.

PREPARED TO ACCOMPANY THE MATHEMATICAL SERIFS OF

BENJAMIN GREENLEAF, A. M.

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ELEMENTARY ALGEBRA," ETC., IN THE SERIES.

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PUBLISHED BY ROBERT S. DAVIS & CO.

NEW YORK: OAKLEY, MASON & CO., 142 & 144 GRAND STREET.

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GREENLEAF'S

NEW COMPREHENSIVE SERIES.

An ENTIRELY NEW MATHEMATICAL COURSE, Analytical and Practical, Progressive and Scientific, fully adapted to the best methods of modern instruction.

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In the Clerk's Office of the District Court of the District of Massachusetts.

Entered according to Act of Congress, in the year 1871, by

HENRY B. MAGLATHLIN,

In the office of the Librarian of Congress, at Washington.

HARVARD
UNIVERSITY
LIBRARY

PREFACE.

N mental culture, no less than in manual labor, it is desirable to have instruments especially adapted to the work to be performed. Of late it has become very evident that there are numerous learners, of limited opportunities, who require an easy, comprehensive course of arithmetic. Such, having no time to master the several books of a consecutive series, however excellent, demand, in a single book, the more important principles of the science, combined with the more useful applications to ordinary business computations.

In most Graded Schools, also, there may be found a class of pupils who might advantageously use a brief elementary course, uniting mental and written exercises, before passing to any more elaborate treatise. Experience has demonstrated that beginners are best initiated into any branch by means of repeated simple illustrations and numerous easy examples.

These conditions have been carefully kept in view, during the preparation of this work, and no labor has been spared to embody such improved methods of putting things, sanctioned by the best educators, as may not heretofore have found a place in any text-book.

The work is analytic and inductive. Mental and written exercises have been combined, with the same forms of analysis applied to both. By this plan, not only a volume, of separate mental arithmetic is rendered superfluous, but valuable time is saved, and the pupil's progress promoted by an order at once natural and scientific. The number of topics treated is necessarily limited, yet will be found sufficient in range to prepare for common business.

The great favor with which the Elementary Arithmetic has been everywhere received, has induced the editor to take advantage of the necessity of the renewal of the electrotype plates, to make it still more attractive and useful.

The typography of the book has been improved, and beautiful pictorial illustrations, from original designs by Herrick, have been introduced.

Bank Discount, United States Bonds, and the Metric System have been included among the topics treated, and the number of exercises and examples have been increased, so that the work is now very complete for the classes for whose use it is designed.

KINGSTON, MASS., Aug., 1871.

H. B. M.

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