THE MACMILLAN COMPANY MACMILLAN & CO., LIMITED LONDON BOMBAY CALCUTTA' THE MACMILLAN CO. OF CANADA, LTD. TORONTO BOOK FOUR BY JAMES C. BYRNES, B.S., Pн.M. MEMBER BOARD OF EXAMINERS, DEPARTMENT OF JULIA RICHMAN DISTRICT SUPERINTENDENT OF SCHOOLS, NEW YORK JOHN S. ROBERTS, A.M., PD.M. PRINCIPAL OF PUBLIC SCHOOL 62, MANHATTAN New York THE MACMILLAN COMPANY 1914 All rights reserved 26 May 1914 UNIVER 48*8 COPYRIGHT, 1911, BY THE MACMILLAN COMPANY. Set up and electrotyped. Published April, 1911. PREFACE PART FOUR of The Pupils' Arithmetic contains a review of the fundamental rules, a rapid, logical review of common and decimal fractions, a summary of work in denominate numbers, a thorough and comprehensive treatment of percentage, and a brief treatment of simple interest. In this volume, as in the three books which precede it, the authors have made prominent the following features: I. A large number of exercises affording abundant practice in the mechanical operations. II. A large number of simple, practical problems couched in clear terms. III. Careful grading of the exercises and problems, and the avoidance of long numbers, lengthy processes, and unfamiliar conditions in problem work. IV. A rapid, comprehensive review of all topics taught in previous grades. V. The full treatment of each topic in preference to the spiral treatment. In Part Four the work in common and decimal fractions proceeds with great rapidity. It is de |