systems. As dccimal fractions may be learned much easier than vulgar, and are more simple, useful, and necessary, and soonest wanted in more useful branches of Arithmetic, they ought to be learned first, and Vulgar Fractions omitted, until further progress in the science shall make them necessary. It may be well to obtain a general idea of them, and to attend to two or three easy problems therein; after which, the scholar may learn decimals, which will be necessary in the reduction of currencies, computing interest, and many other branches. Besides, to obtain a thorough knowledge of Vulgar Fractions, is generally a task too hard for young scholars who have made no further progress in Arithmetic than Reduction, and often discourages them. I have therefore placed a few problems in Fractions, according to the method above hinted; and after going through the principal mercantile rules, have treated upon Vulgar Fractions at large, the scholar being now capable of going through them with advantage and ease. In Simplc Interest, in Federal Money, I have given sevemal new and concise rules ; some of which are particularly designed for the use of the compting-house. The Appendix contains a variety of rules for casting Interest, Rebate, &c. together with a number of the most easy and useful problems, for measuring superficies and solids, examples of forms commonly used in transacting business, useful tables, &c. which are designed as aids in the common business of life. Perfect accuracy, in a work of this nature, can hardly be expected ; errors of the press, or perhaps of the author, may have escaped correction. If any such are pointed out, it will be considered as a mark of friendship and film The public's most humble NATHAN DABOLL. four, by TABLE OF CONTENTS. Odition, Simple, of Federal Money, Compound, Annuities or Pensions, at Compound Interest, Compound, Discount, Duodecimals, Ensurance, Equation of Payments, Evolution or Extraction of Roots, Exchange, Federal Money, Subtraction of, Fellowship, Compound, Fractions, Vulgar and Decimal, Interest, Simple, by Decimals, Compuund, by Decimals, Invorsc Proportion, Involution, Loss and Gain, Multiplication, Simple, Application and Use of, Supplement to, Compound, Numeration, Practice, Position, Permutation of Quantities, 123 216 114 126 167 139 21 132 134 69, 143 108 157 122 165 155 166 128 27 30 37 48 15 99 188 192 of Currencies, do. of Coin, 82, 86 80, 97 Rules for reducing the different currencies of the several United States, also Canada and Nova Scotia, each to the par Short Practical, for calculating Interest, 114 203 208 to reduce the currencies of the different States to Fede- Rebate, a short method of finding the, of any given sum, for Addition, Subtraction, and Multiplication, showing the number of days from any day of one month to the same day in any other month, showing the amount of 1l. or 1 dollar, at 5 and 6 per cent. Compound Interest, for 20 years, showing the amount of 11. annuity, forborne for 31 years or under, at 5 and 6 per cent. Compound Interest, 291 showing the present worth of 1l. annuity, for 31 years, at 5 and 6 per cent. Compound Interest, of Conts, answering to the currencies of the United showing the value of Fcderal Money in othor currencies, Useful Forms in transacting business, Weights of several picces of English, Portugueso, and French Gold Coins, in dollars, cents, and mills, of English and Portuguese Gold, do. DABOLL'S SCHOOLMASTER'S ASSISTANT. ARITHMETICAL TABLES. Nuneration Table. Pence Table. e Hundreds of Mw.ions. Tens of Millions. esco Millions. d. 9 8 7 6 5 4 3 2 9 8 7 4 3 9 8 7 5 4 9 8 7 98 7 6 0 817 98 9 make 4 farthings 1 penny, d. 12 pence 1 shilling, 20 shillings, 1 pound, L.l. s. ADDITION AND SUBTRACTION TABLE. 1 | 2 | 31 41 51 0.1 71 81 9110111 | 12 MULTIPLICATION TABLE. 11 21 31 4| 5 6 | 7 | 8 | 9 | 10 11 | 12 4161 8110 | 12 | 14 | 16 | 18 | 20 | 22 1 24 31 61 9 | 12 | 15 | 18 | 21 | 24 | 27 30 | 33 | 36 41 8 | 12 | 16 | 20 | 24 | 28 | 32 | 36 | 40 | 44 | 48 5 | 10 | 15 20 25 | 30 | 35 | 40 | 45 | 50 | 55 | 60 6 | 12 | 13 | 24 | 30 | 36 42 | 48 | 54 | 60 | 66 | 721 7 | 14 21 28.1 35 | 42 | 49 | 56 | 63 | 70 | 77 | 84 8 | 16 24 | 32 | 40 | 48 | 56 | 64 | 72 | 80 | 88 | 96 9 | 18 27 | 36 | 45 | 54 | 63 172 | 81 | 90 | 99 | 108 10 20 30 | 40 | 50 | 60170 | 80 | 90 | 100 | 110 | 120 11 | 22 | 33 | 44 | 55 | 66 177 188 99 | 110 | 121 | 132 1224 | 36 48 60 | 72 | 84 | 96 | 108 | 120 | 132 | 144 To learn tliis Table : Find your multiplier in the left hand column, and the multiplicand a-top, and in the common angle of meeting, or against your multiplier, along at the right hand, and under your multiplicand, you will find the product, or answer. |