THE SCHOLAR'S ARITHMETIC; OR, FEDERAL ACCOUNTANT: CONTAINING, 1. COMMON ARITHMETIC, the RULES and ILLUstrations. II. EXAMPLES and ANSWERS with BLANK SPACES, sufficient for III. To each RULE a SUPPLEMENT, comprehending, 1. QUESTIONS IV. FEDERAL MONEY, with rules for all the various operations in it, V. INTEREST cast in FEDERAL MONEY, with Compound Multiplication, account become contrasted, and the great advan- tage gained by reckoning in Federal VI. DEMONSTRATIONS by ENGRAVINGS of the reason and nature of the VII. FORMS OF NOTES, DEEDS, BONDS and other INSTRUMENTS of WRITING. THE WHOLE IN A FORM AND METHOD ALTOGETHER NEW, FOR THE BY DANIEL ADAMS, M. B. STEREOTYPE EDITION, REVISED AND CORRECTED, WITH ADDITIONS. KEENE, N. H.-PRINTED BY JOHN PRENTISS, Sold at his Bookstore, and by the principal Booksellers in the New-England States L. S. QA 101 A2115 1820 Newhampshire District, ss. BE IT REMEMBERED, that on the seventeenth day of July, in the thirty ninth year of the Independence of the United States of America, DANIEL ADAMS, of Mont Vernon, in said District, hath deposited in this office the Title of a Book, the right whereof Ire claims as AUTHOR, in the following words, to wit:-"The Scholar's Arithmetic: or Federal Accountant. Containing I. Common Arithmetic, the Pules and Illustrations.-II. Examples and Answers, with blank spaces sufficient for their operation by the Scholar.-III. To each Rule, a Supplement, comprehending, 1. Questions on the nature of the rule, its use, and the manner of its operations.-2. Exercises.-IV. Federal Money, with rules for all the various operations in it, to reduce Federal to Old Lawful, and Old Lawful to Federal Money.-V. Interest cast in Federal Money with Compound Multiplication, Compound Division and Practice wrought in Old Lawful and in Federal Money, the same questions being put in separate columns on the same page in each kind of money, by which these two modes of account become contrasted, and the great advantage gained by reckoning in Federal Money easily discerned.-VI. Demonstrations by engravings of the reason and nature of the various steps in the extraction of the Square and Cube Roots, not to be found in any other treatise on Arithmetic.-VII. Forms of Notes, Deeds, Bonds, and other instruments of writing.-The whole in a form and method altogether new, for the ease of the Master and the greater progress of the Scholar.-BY DANIEL ADAMS, M. B." In conformity to the act of Congress of the United States, entitled "an act for the encouragement of Learning, by securing the copies of Maps, Charts and Books, to the authors and proprietors therein mentioned, and extending the benefit thereof to the arts of Designing, Engraving, Etching, Historical and other prints. G. W. PRESCOTT, Clerk of the U. S. Court, N. H. District, Brisbel 1-15 45 PREFACE. IT is fourteen years since the first Edition of the Scholar's Arithmetic was offered to the Public. It has now gone through nine editions, and more than Forty Thousand copies have been circulated. In those places where it has been introduced, it never has, to the best of our knowledge, been superseded by any other work which has come in competition with it. A knowledge of these facts is, perhaps, one of the best recommendations which can be desired of the work. It has now undergone a careful revisal. Some of the rules have been thought to be deficient in examples; in this revised edition, more than sixty new examples have been added under the different rules. Some have expressed a desire that answers might be given to the "Miscellaneous Questions," at the end of the book; these have been added accordingly, and the number of these questions increased. But what more particularly claims attention in this revised edition, is the introduction of the rule of Exchange, where the pupil is made acquainted with the different currencies of the several states, (that of S. Carolina and Georgia, only excepted,) and how to change these currencies from one to another; also, to Federal Money, and Federal Money to these several currencies. This has been done more particularly with a view to the accommodation of the State of New-York, and other more southern states, where this work has already acquired a very considerable circulation. Answers are given to many of the questions in different currencies, so that the pupil in N. England, N. York, &c. will find an answer to the question, each in the currency of his own particular state. These comprehend the only additions in the present new edition. We have now the testimony of many respectable Teachers to believe, that this work, where it has been introduced into Schools, has proved a very kind assistant towards a more speedy and thorough improvement of |