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EMERSON'S SECOND PART.

THE

NORTH AMERICAN

ARITHME TIC.

PART SECOND,

UNITING

ORAL AND WRITTEN EXERCISES,

IN

CORRESPONDING CHAPTERS.

BY FREDERICK EMERSON,
LATE PRINCIPAL IN THE DEPARTMENT OF ARITHMETIC,

BOYLSTON SCHOOL, BOSTON,

PHILADELPHIA,
HOGAN AND THOMPSON,

NO. 30 NORTH FOURTH STREET.

Entered, according to Act of Congiess, in the year 1832, by Frederick Emerson, in the Clerk's Office of the District' Court of the District of Massachusetts

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Orders of the School Committee of Boston. At a Meeting of the School Committee, Nov. 18, 1834.

Ordered, That Emerson's North American Arithmetic, Second and Third Parts, be substituted in the Writing Schools, for Colburn's First Lessons and Sequel.*

Ordered, That the Arithmetics now in use be permitted to their present owners; but that whenever a scholar shall have occasion to purchase a new one, the North American Arithmetic shall be required.

Attest, $. F. M-CLEARY, Secretary. * The First Part was already adopted by a previous order.

A KEY to this work, containing solutions and answers, (a small book for Teachers only,] is published separately.

PREFACE.

This book is intended for the use of scholars who have been taught in Part First,' or by some other means have learned to add, subtract, and multiply numbers as high as 10, mentally,

The whole Course of Exercises, of which this is the Second Part, has been divided into three parts, more for the sake of economy and convenience, than on account of any natural division of the subject. The work is not intended to be a record of the science, such as might befit the pages of an encyclopedia,-but, a system of induction, through which the scholar may be led to the discovery of arithmetical truth, and the proper application of arithmetical operations. Rules, and the technical language necessary to their composition, are avoided in the early part of the course- they are not introduced until the learner is sup posed prepared, by intellectual improvement from previous lessons, to meet them understandingly.

In the arrangement of the exercises in this volume, I have been governed by the natural order of the science; believing, that any deviation from that order, with a view of rendering the work more immediately practical, would render it in reality less practical, as it would necessarily lead the scholar into a habit of performing operations, without comprehending the principles which justify them. The first six chapters consist of oral exercises, and the last six of correspondent written exercises. The work may therefore be viewed as two entire systems of arithmetic— Oral and Written.

Although Part Second does not complete the series of books, entitled “The North American Arithmetic,' still it contains the essential principles, and the common application of the science. Scholars, therefore, who shall be properly conducted through this volume, will have acquired a knowledge of Arithmetic, adequate to all the purposes of common business. Part Third is designed for Those, whose continuance at school shall afford opportunity for prosecuting a more extended course of study

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