BY SAMUEL HAMILTON, PH.D. SUPERINTENDENT OF SCHOOLS, ALLEGHENY COUNTY, PA. 66 NEW YORK: CINCINNATI .:. CHICAGO AMERICAN BOOK COMPANY PREFACE A COMPLETE arithmetic should meet all the ordinary demands of the elementary school. It may omit that which is non-essential and all matter that properly belongs to textbooks for secondary schools; but it should include a full treatment of all important topics taught in the elementary school, and a limited treatment of those of minor importance. This book is intended for a complete arithmetic, to be used either with or without the author's Elementary Arithmetic. The work is divided into three parts. Part One, after giving a complete treatment of the fundamental operations, covers the work ordinarily found in the sixth year. Part Two, after reviewing the subjects of Bills and Accounts, Denominate Numbers, and Practical Measurements, covers the work of the seventh year. Part Three covers the work of the eighth year. The aim of this book is threefold: (1) To give the pupil skill in the art of computation. (2) To make him a good mathematician. (3) To give him a working knowledge of modern business methods. The first necessarily suggests an abundance of graded work. The second requires both inductive and deductive thought. The method, therefore, is inductive in the development of all mathematical principles, and deductive in their application. It requires also that all solutions shall be clear and |