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AN

INTELLECTUAL

A RITHMETIC,

WITH AN

INTRODUCTION TO WRITTEN ARITHMETIC.

BY

GEO. A. WALTON, A. M.,

AND

ELECTA N. L. WALTON,

ADTHORS OF "WRITTEN ARITHMETIC," “ PICTORIAL PRIMARY ARITIIMETIC,"

“ DICTATION EXERCISES IN ARITUMETIC," ETO.

BOSTON:

BREWER AND TILESTON,

131 WASHINGTON STREET.

GIFT OF THE EducT 118.9.374

CONGREGATIONAL LIBRARY OF BOSTON

DEC 11. 1935
PUBLISHERS' NOTICE.

WALTONS' ARITHMETICS.

THE SERIES CONSISTS OF THREE BOOKS, viz. :

I. The Pictorial Primary Arithmetic.

II. The Intellectual Arithmetio.

III. The Illustrative Practical Arithmetic.

The publishers invite the attention of Teachers and School Officers to this series of Text-Books, confident that on examination they will commend themselves to every practical educator. No other series, in general use, with which they are acquainted, comprises a full course of Arithmetic in THREE Books.

WALTON'S DICTATION EXERCISES

are supplementary to Walton's Series, and afford a large amount of practice in the fundamental rules, and in all the important practical applications of arithmetic. They are designed for reviews and test exercises, and may be used at any stage of the pupil's progress, and in connection with any series of arithmetics.

Entered, according to Act of Congress, in the year 1866, by

G. A. WALTON,
In the Clerk's Office of the District Court of the District of Massachusetts.

Entered, according to Act of Congress, in the year 1869, by

G. A. WALTON,
In the Clerk's Office of the District Court of the District of Massachusetts

Electrotyped at the
BOSTON STEREOTYPE FOUNDRY,

19 Spring Lane.

PREFACE.

The design of this book is, first, to develop and train the mind. The plan adopted is to teach the simple facts of the science of numbers, and then to lead, from these perceived facts, by logical analyses to deductions, which are more general. It is the design, also, to prepare the student to apply the principles of numbers practically. With a view to this end, business transactions, and incidents which occur daily in common life, are frequently employed to illustrate the principles taught.

The Intellectual Arithmetic forms a connecting link between the Pictorial Primary and the Illustrative Practical Arithmetic, reviewing and extending the lessons upon simple numbers of the former, and illustrating, by small denominate numbers, the principles applied more generally and with larger numbers, in the latter. It is, however, a complete book of its class, and may be used independently, or in connection with any series of Arithmetics.

The work having already received the commendation of eminent practical teachers, in various parts of the country, it is now issued in a slightly modified form, in the confident hope that it will still further approve itself to teachers and school officers generally. BOSTON, August, 1869.

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