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AN

11/18/27

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ELEMENTARY ARITHMETIC,

DESIGNED FOR*

ACADEMIES AND SCHOOLS;

ALSO,

SERVING AS AN INTRODUCTION TO THE

HIGHER ARITHMETIC.

By GEO. R. PERKINS A. M.,
PROFESSOR OF MATHEMATICS IN THE NORMAL SCHOOL OF THE STATE
OF NEW YORK, AUTHOR OF TREATISE ON ALGEBRA, ELE-
MENTS OF ALGEBRA, HIGHER ARITHMETIC, &c., &c.

SE VENTH ED

UTICA:

PUBLISHED BY BENNETT, BACKUS, & HAWLEY.
NEW YORK:

SAXTON & MILES, 205 BROADWAY.
ROCHESTER: SAGE & BROTHER.

DETROIT: JOHN I. HERRICK.

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Entered, according to act of Congress, in the year 1843,

BY GEORGE R. PERKINS,

in the Clerk's Office of the District Court of the United States, for the Northern District of New York.

AN

STEREOTYPED BY REDFIELD & SAVAGE,

13 CHAMBERS STREET, N. Y.

P R E F A CЕ.

THIS Elementary Work on Arithmetic, which may be regarded as an introduction to my Higher Arithmetic, contains as full a treatise on this science, as is usually given in our School Arithmetics.

I have endeavored to adapt it to the present wants of our Schools and Academies. I have excluded Mensuration, Mechanical Powers, Bookkeeping, &c., as subjects which are foreign to an Elementary Arithmetic.

It is believed that there are many things which, to an experienced Teacher, will be considered as improvements. To point out all the particulars in which this work differs from other similar works, would be tedious; still I can not help mentioning two points which I consider of considerable importance. The first is, that I have been careful to treat of Decimal Fractions, before treating of Federal Money. After the student has become familiar with the nature of Decimal Fractions, he can find no difficulty in operating upon Federal money, since the cents and mills may be regarded as decimals of a dollar; this I consider much better than to treat Federal Money as Denominate Numbers.

The second thing which I would refer to, is the method of Extracting the Cube Root of a number. It is now more than twenty years since Mr. Horner gave a new method

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