PRACTICAL ARITHMETIC;

IN WHICH

THE SCIENCE AND ITS APPLICATIONS

ARE SIMPLIFIED BY

INDUCTION AND ANALYSIS.

PREPARED TO ACCOMPANY THE MATHEMATICAL SERIES OF

BENJAMIN GREENLEAF, A. M.

99.66

BY THE EDITOR OF "NEW ELEMENTARY ALGEBRA,' NEW HIGHER
ALGEBRA," ETC., IN THE SERIES.

BOSTON:

PUBLISHED BY ROBERT S. DAVIS & CO.

NEW YORK: OAKLEY, MASON, & CO., 142 GRAND STREET,
PHILADELPHIA: J. A. BANCROFT & COMPANY,

ST. LOUIS: HENDRICKS & CHITTENDEN,

CHICAGO: S. C. GRIGGS & CO.

1872.

118.72. 560 Edivard H. Atherton

ކ

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.

GREENLEAF'S NEW PRIMARY ARITHMETIC.
GREENLEAF'S NEW ELEMENTARY ARITHMETIC.
GREENLEAF'S NEW PRACTICAL ARITHMETIC.
GREENLEAF'S NEW ELEMENTARY ALGEBRA.
GREENLEAF'S NEW HIGHER ALGEBRA.

GREENLEAF'S ELEMENTS OF GEOMETRY.
GREENLEAF'S ELEMENTS OF TRIGONOMETRY.

Each book in the series is complete in itself.

*KEYS to PRACTICAL ARITHMETIC, ALGEBRAS, GEOMETRY, and TRIGONOMETRY, in separate volumes, for teachers only.

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

HENRY B. MAGLATHLIN,

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

Entered, according to Act of Congress, in the year 1867, by

HENRY B. MAGLATHLIN,

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

RIVERSIDE, CAMBRIDGE:

PRINTED BY II. O. HOUGHTON AND COMPANY.

INTRODUCTION.

CULTURE is progressive in its nature. Higher, still higher, is the true educational spirit.

Advance in methods of instruction makes new, improved text-books a necessity; and, to subserve wants apparently not heretofore fully provided for, this work has been carefully prepared.

Without being in any respect redundant, it is intended to be complete in details and comprehensive in scope; Combining with processes the most scientific the greatest simplicity;

Developing principles by inductive methods, deducing rules from rational solutions, and encouraging self-reliance and originality by numerous exercises in analysis;

Making written arithmetic in all its steps intellectual; and

Keeping prominently in view the practical uses of numbers, by various applications of a business character.

While it avoids obsolete or useless material, it properly treats new topics requiring attention, such as the Metric System of Weights and Measures, Annual Interest, Internal Revenue, etc.; and

Enforces thorough educational results, by orderly arrangement of subjects, and by systematic review questions and exercises.