THE American Tutor's Assistan IMPROVED: OR, A COMPENDIOUS SYSTEM OF DECIMAL, PRACTICAL ARITHMETIC; COMPRISING THE USUAL METHODS OF CALCULATION, WITH THE ADDITION OF FEDERAL MONEY, AND OTHER DECIMALS, Dispersed through the several rules of that useful science. ADAPTED FOR THE EASY AND REGULAR INSTRUCTION OF YOUTH COMPILED BY ZACHARIAH JESS. CONTAINING ALSO, A COURSE OF BOOK KEEPING, BY SINGLE ENTRY. STEREOTYPED BY D. & G. BRUCE, NEW-YORK. Baltimore: PUBLISHED BY CUSHING & JEWETT, DISTRICT OF PENNSYLVANIA, to wit: Be it Remembered, That on the third day of June, in the forty-second year of the Independence of the United States of America, A. D 1818, M'Carty & Davis of the said district have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit: L. S. The American Tutor's Assistant, improved: or a Compendious System of Decimal, Practical Arithmetic; comprising the usual methods of calculation; with the addition of Federal Money, and other Decimals, dispersed through the several rules of that useful science. Adapted for the easy and regular instruction of Youth in the United States. Compiled by Zachariah Jess. Containing also, 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 times therein mentioned,' and extending the bene fits thereof to the arts of designing, engraving, and etching historical and other prints." D. CALDWELL, Clerk of the District of Pennsylvania KMT 3-10-43 THE utility of a work of this kind, accommodated to the Federal Money of the United States, is too obvious to neea any comment. The position of Decimals, in former systems of Arithmetic, seem to have shut them out from general use—' -The necessity and advantage of that mode of calculation, for Federal Money, must be conspicuous to every person who has an acquaintance with figures; and therefore my early introduction of that rule, will, I hope, be approved. The present state of commerce in the United States, renders a knowledge of calculations in pounds, shillings, &c. necessary. I have, therefore, endeavoured to combine the old form with the new, in such a manner, as to furnish the pupil with a competent knowledge of both methods of calculation. I have stated copious examples with explanatory notes in the three earlier cases of Compound Multiplication, and reversed those examples in Compound Division, for the purpose of giving the scholar frequent exercise in fixing the decimal point, on which the accuracy of decimal calculations entirely ⚫ depends-and in these examples, I have not adhered to the particular rules of the several cases. In Reduction, I have given a sufficient number of examples for changing the old denominations of money, from one to another. I have then introduced the three cases of Decimal Reduction, with various examples relative to the foregoing. Then follow weights and measures in the common method, succeeded by decimal examples under each head, and notes of reference to the rules in the preceding cases. The Rule of Three being the foundation of Arithmetica. knowledge, I have furnished the pupil with various examples, both in the common and decimal methods under that head. The several cases in Practice, are not essentially useful in the calculations of Federal Money, except the last; but I have given several examples, that the scholar may not be altogether ignorant of calculations by that rule. Under the head of Interest, I have introduced the decimal rule immediately after the common; the contrast will clearly show the superiority of the Decimal mode. I have also given a new rule, in Notes, for concisely finding the interest of any number of Dollars for any time. 2. JESS. Vor Significations. equal; as 20s.£. 1. more; as 6+2=8. less; as 8-2-6. into, with, or multiplied by; as, 6x2=12. several quantities over which it is drawn, to be considered ARITHMETIC is the art of computing by numbers. It has five principal rules for its operation, viz. Numeration, Addition, Subtraction, Multiplication, and Division. NUMERATION. NUMERATION 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 of which are exhibited in the following table. |