Excerpt from Hopkins and Underwood's: New Arithmetics; Advanced Book This book assumes that the pupils using it have a working knowledge of the four fundamental principles of arithmetic as applied to integers and to United States money. It presents the essentials of practical arithmetic, arranged by topics in conformity with the courses of study in some of the best school systems, each chapter representing a year's work, commencing with the fifth grade. Its distinguishing features are the early introduction of decimals, the large number of problems based on the industries of our country, the clearness of illustration, and the omission of complicated problems of doubtful utility. It aims to teach principles rather than rules. As the unitary method is the simplest for the young learner, the first two chapters give prominence to it. The chief aim of teaching arithmetic is doubtless to develop accuracy and rapidity in the solution of problems arising in actual life and also to cultivate correct methods of reasoning. Both these aims are kept in view through out the book. However, as students learn readily to follow processes, and, as the practice of arithmetic is of more importance to most people than its theory, especial attention is paid to the art of computation. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Designed for students who have mastered the basics of arithmetic, this book offers more advanced topics and challenging problems. With clear explanations and a wealth of examples, Hopkins provides a solid foundation for further study in mathematics. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Excerpt from Hopkins and Underwood's: New Arithmetics; Advanced Book This book assumes a working knowledge of the four fundamental rules as applied to integers and United States Money. It contains the essentials of practical arithmetic arranged by topics in conformity with the courses of study in some of the best school systems, each chapter representing a year's work commencing with the fifth grade. It aims to teach principles rather than rules. As the unitary method is the one most natural to the young learner, the first two chapters give prominence to this style of reasoning. Chapters III and IV give a thorough review of arithmetic principles and practice. In these chapters the method of ratio is brought into prominence. Science to be of value must be more or less deductive in form. Characteristic features of the book are the early introduction of Decimals, the large number of problems based on the industrial resources of our country, the clearness and directness with which problems are illustrated, and the omission of complicated problems of doubtful utility. The aim of teaching arithmetic is culture, accuracy, and rapidity in the computation of problems arising in actual life, and the acquisition of correct methods of reasoning. This aim is always kept in view. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.