American Tutor's Assistant REVISED; OR, A COMPENDIOUS SYSTEM OF PRACTICAL ARITHMETIC; CONTAINING THE SEVERAL RULES OF THAT USEFUL SCIENCE, CONCISELY DEFINED, METHODICALLY ARRANGED, AND THE WHOLE PARTICULARLY ADAPTED TO THE EASY AND REGULAR INSTRUCTION OF YOUTH IN OUR AMERICAN SCHOOLS. Originally compiled by sundry Teachers in and near Phila TO WHICH IS ADDED, A COURSE OF BOOK-KEEPING by Single Entry. PHILADELPHIA; PRINTED AND SOLD BY JOSEPH CRUKSHANK 1813. DISTRICT OF PENNSYLVANIA, rọ WIT: Be it Remembered, That on the Twenty-seventh Seal. day of May, in the Thirty-third Year of the In dependence of the United States of America, XX A. D. 1809, JOSEPH CRUKSHANK, of the said District, hath deposited in this Office the Title of a Book, the Right whereof he claims as Proprietor, in the words following, to wit: "THE American Tutor's Assistant revised; or a compendious System of Practical Arithmetic; containing the several rules of that useful Science, concisely defined, methodically arranged, and fully exemplified. The whole particularly adapted to the easy and regular instruction of Youth in our American Schools. Originally compiled by sundry teachers in and near Philadelphia; now revised, and an additional number of Examples given in Money of the United States. To which is added, a Course of Book-keeping by Single Entry." In Conformity to the Act of the Congress of the United States, entitled "An Act for the Encouragement of Learn ing, by securing the Copies of Maps, Charts and Books, to the Authors and Proprietors of such Copies, during the Times therein mentioned." And also to the Act, entitled An Act supplementary to an Act, entitled "An Act for the Encouragement of Learning, by securing the Copies of Maps, Charts and Books, to the Authors and Proprietors of such Copies, during the Time therein mentioned," and extending the Benefits thereof to the Arts of designing, engraving, and etching historical and other Prints." D. CALDWELL, Clerk of the 1 Lately published and for sale by Joseph Crukshank, price 75 cents. A Key to the American Tutor's Assistant, revised; in which all the sums necessary for a learner are wrought at large. M Travers PREFACE. 11-25-30 23046 THE former impressions of The American Tutor's Assistant having been well received by the public, the Proprietor has been induced to revise it, and has now made some amendments and additions, which he presumes will render it more acceptable to teach ers. To avoid increasing the size and price of the book, some parts have been omitted, to make room for matter considered of more essential use. To this edition is added, a course of Book-keeping, according to the method of Single Entry, with a description of the books, and directions for using them. Much attention has been given to the revision and correction of the work, and the errors which had escaped notice in the former are corrected in this edition, ༢༠༢-, Square Root; as, 648 Cube Root; as, √ 64-4 Fourth Root; as, 642, &c. a Vinculum; denoting the several quantities, over which it is drawn, to be considered jointly as a simple quantity. A RITHMETIC is the art of computing by numbers. Is has five principal rules for its operations, viz. né: meration, addition, subtraction, multiplication, and division, NUMERATION. UMERATION teaches to express numbers by figures, set down or named, and consists of two parts, viz. First, the right placing of them. Second, The true valuing of each figure, in its proper place; both which are exhibited in the following TABLE. Millions 1 | One. 2 1 Twenty-one. 3 2 1 Three hundred and twenty-anas 4 3 2 1 4 Thousand 321 5 4 3 2 1 51 Thousand 321 6 5 4 3 2 1 654 Thousand 321 7 6 5 4 3 2 1 7 Million 654. Thousand 321 8 7 6 5 4 3 2 1 87 Million 654 Thousand 321 9 8.7 6 5 4 3 2 1 987 Million 654 Thousand 321 The above table is comprised in the following: Thousands 4 32 |