American Tutor's Assistant 1828 REVISED; gess, Zachariah OR, 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 Phila- United States. DISTRICT OF PENNSYLVANIA, TO WIT: Be it Remembered, That on the Twenty-seventh Seal. day of May, in the Thirty-third Year of the Independence of the United States of America, 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 fola lowing, 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 Learning, 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 District of Pennsylvania. Lateiy published and for sale by Joseph Crukshank, price 175 cents. A Key to the American Tutor's Assistant, revised; in which all the sums necessary for a learner are wrought at large. Traver. 10-1-23 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 inade 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. Simple Subtraction, Simple Multiplication, Simple Division, 13 Subtraction of Decimals, 135 Federal Money, Addition of Dollars and Cents, 15 Division of Decimals, Subtraction of Dol'ars & Cents, 16 Reduction of Decimals. 138 Mu tiplication of Dolls. & Cts. 17 Single Rule of Three in Deci. 142 Division of Dollars & Cents, 18 Double Rule of Threc in De. 144 Compound Addition, Compound Subtraction, 30 Evolution, Compound Multiplication, 38 The Square Root," Compound Division, Reduction, 58 Arithmetical Progression, 153 Inverse Proportion, 67 Simple Interest by Decimals, 158 Tare & Trett, Lusurance, Commission, &c. go Permutation & Combination 168 99 Addition of Duodecimals, 169 Equation Explanaiion of Characters. into, with, or multiplied by ; as 6X2 =12 by (i. e. divided by) as, 6+2=3; or, 2)6(3: ::: : proportionaity; as 2 : 4 :: 6:12 a Vinculum ; denoting the several quantities, over which it is drawn, to be considered NY RITHMETIC is the art of computing by numbers. 'It has five principal rules for its operations, viz. numeration, addition, subtraction, multiplication, and division. NUMERATION. TUMERATION 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 One Three Hundred and twenty-one. 6 5 4 3 2 1 7 Million 654 Thousand 321 87 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: Tens Millions Thousands 9 3 7 6 5 4 Millions. Thousands. Units Nine |