Excerpt from Key to the National Arithmetic: Containing Full Solutions to Nearly All the Problems, Designed for the Use of Teachers and Private StudentsIt was the original intention of the author to give, in the Key, merely a series of brief hints upon the solutions of the more difficult problems. Be'was led to modify this plan and to issue the work in its present form, chie¿y from the consideration that as there are in the country many young persons who, from various causes, are unable to avail themselves of the advice and assistance of a teacher, it would be a great boon to these to have access to a book to which they might refer with the certainty of having every doubt removed as to the correctness of their work and methods of solution. He offers the work to his fellow teachers with the hope that they will accord it the same favourble reception that they have so kindly given to the National Arithmetic.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis 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.