in the application of these to the solution of examples and problems. The Miscellaneous Problems at the end of the book will furnish a valuable drill for advanced students. These examples require the exercise of considerable thought and reasoning, but the frequent explanations designed as models, and the selection of numbers so adapted to the conditions of the question as to produce results free from difficult combinations, will render a mental solution of them comparatively easy. Although this edition is a thorough revision, the features which have contributed to the popularity of the Intellectual Arithmetic have been retained. Much important matter has, however, been added, and the subjects have in many cases been more systematically arranged, By a judicious arrangement of matter on the page, it has been possible to include nearly twice as many examples without adding materially to the size of the book. The book in its present form will commend itself to all by its handsome and clear typography, the logical sequence of the subjects, and its brief, but lucid, illustrations and explanations. INTELLECTUAL ARITHMETIC. ADDITION. 1. Addition is the process of finding a number which is equal to two or more given numbers. 2. The Sum or Amount is the result obtained by the addition. 3. The Sign of Addition is +, and is called plus. It shows that the numbers connected by it are to be added. Thus, 3+2+1, is read three plus two plus one, or three and two and one, and shows that 3 and 2 and 1 are to be added. 4. The Sign of Equality is, and is read equals or equal to. It shows that the numbers connected by it are equal. = Thus, 3+2 5, is read three plus two equals five, and shows that 5 is the result obtained by adding 3 and 2. 5. Add the following numbers: |