THE former impressions of The Ameri can 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, Explanation of Characters. such Copies, during the Time therein mentioned, ane. D. CALDWELL, Clerk of the Fately 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. Traver 10-1-23 ARITHMETIC. A RITHMETIC is the art of computing by numbers. It has five principal rules for its operations, viz. nur 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 321 321 321 321 Hundreds Millions of Thousands Tens of Millions. Hundreds of Millions 4 54 654 7 6 5 4 87 987 3 2 1 321 One. Twenty-one. Three Hundred and twenty-one. 4 Thousand 32162 54 Thousand 321 654 Thousand 321 7 Million 654 Thousand 321 87 Million 654 Thousand 321 987 Million 654 Thousand 321 The above table is comprised in the following: Nine figures are sufficient to express any number in common practice: Nevertheless, the following table may be thought necessary. Nonillions 857342, Oaillions Septillions Sextillions Quintillions 162486, 345986, 437916, 423147, Quadrillions Trillions Billions Millions Units 248016, 235421, 261734, 368149, 6231 37. In figures express the following numbers. One hundred and six. Five hundred and thirty-eight. Six thousand and seventy-four. Twelve thousand, five hundred and ten. Two hundred fifty-one thousand, six hundred. Eight million, one hundred forty-two thousand and six. Sixty-five million, one hundred four thousand and ninety. Five hundred and two million, three hundred and four thousand. Nine hundred forty-eight million, six hundred thirty-two thousand, seven hundred and fifty-one. Numbers are also expressed by letters, and are called Numeral Letters, or Roman Numbers, thus: 1 2 3 4 5 6 7. 8 9 10 20 30 I, II, III, IV, V, VI, VII, VIII, IX, X, XX, XXX, 40 50 60 70 80 90 100 500 1000 XL, L, LX, LXX, LXXX, XC, C, D, M, 1810 MDCCCX A letter of less value, standing before one of greater, diminishes, but when placed after increases the value of the greater. Hence, by combining the above letters, other numbers are formed. A SIMPLE ADDITION. DDITION of integers is the collecting of several numbers, of like signification, into one sum; as 6 and 8 make 14% RULE RULE. Place units under units, tens under tens, &c then begin at the right hand column and add upwards, set down the total, if less than 10; if 10 or more, the right hand figure, and add the left to the next row of figures, which is carry ing 1 for every 10; and so proceed to the last column, and there set down the whole of said column. PROOF. Perform the addition downward :-Or, add the top line to the sum of all the rest; and, if right, the total will be equal to the first. Application. Note. In this, and fome fucceeding collections, the pupil may be directed to write the queftion on his flate, with vacancies, in which the tutor may infert other numbers. 1. Add 5856, 3840, 395, 265, 25, and three thousand, seven hundred and eighty-four together. facit 14165 |