Excerpt from Lippincott's Elementary Arithmetic: Embracing the Science and Practical Applications of Numbers It is a fatal error, only too common, to start a child to study where that which he is asked to learn is out of touch with that which he already knows. Pupils should be taught very early to keep an accurate separation of the known from the unknown, and to be careful not to stamp a thing as known until they have fully mastered it in all its relations to that which they know, and have done so in that way which conscience calls honest. The following Elementary Treatise on Arithmetic has been prepared with the view of presenting to both teacher and pupil a thoroughly systematic and gently graded scheme in which they may together make daily progress in scientific knowledge of the subject, and by a mutual interest in the work gather by diligence many of the best fruits of industry. Nothing, from beginning to end, has been written as mere verbiage, undeserving of attention. Every word has a measure of significance, and every sentence in the book is there for the single purpose of being understood. 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.