Excerpt from The Elements of Arithmetic, Vol. 2: For Schools and Academies, In Which Decimal and Integral Arithmetic Are Combined, and Taught Inductively, on the System of PestalozziThe most important original feature of the work, is the union of decimals with integers in the simple rules, - a mode of instruction that is rapidly gaining ground, and is sanctioned by the practice of many most successful teachers. Its practicability having been fully tested, the advantage derived from dispensing with many of the old rules, which are entirely super¿uous, and tend to retard the progress of the pupil, will be readily appreciated.The Rule of Three has lost much of its ancient reputation, and some of its applications have been very properly dismissed from our modern text-books. Still there are many examples which involve the theory of Proportion, and to their solution the rule given on page 88 (which is essentially the same as the one employed in the best schools of England and the Continent) can be applied with great facility.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.