systems. As decimal fractions may be learneu 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 Simple Interest, in Federal Money, I have given several 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 au thor, may have escaped correction. If any such are point ed out, it will be considered as a mark of friendship and favor, by The public's most humble NATHAN DABOLL. TABLE OF CONTENTS. PAGE ADDITION, Simple -of Federal Money -Compound Annuities or Pensions, at Compound Interest Contractions in Compound . Discount Duodecimals. Equation of Payments Esolution, or Extraction of Roots Exchange Federal Money Subtraction of Fellowship Compound Fractions, Vulgar and Decimals Insurance Interest, Simple - by Decimals Compound by Decimals Inverse Proportion Involution Loss and Gain Multiplication, Simple application and use of Supplement to Compound Numeration : Practice Position Permutation of Quantities 14 124 149 232 34 37 57 188 228 138 09 151 21 27 144 146 74, 155 126 120 169 134 177 167 178 140 23 32 38 31 15 109 . . Rule of Three Direct, do. Inverse Rules for reducing the different currencies of the several United States, also Canada and Nova Scotia, each Short Practical, for calculating Interest for casting interest at 6 per cent - for finding the contents of Superfices and Solids to reduce the currencies of the different states to Federal 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, 172 232 233 ib. 236 114 238 234 235 do. do. do. DABOLL'S SCHOOL MASTER's ASSISTANT. AKITHMETICAL TABLES. Numeratiun Tabie. Pence dable. coHundreds of Millions, 0 Tens of Millions. o voor Tens of Thousands. co voor A Thousands. woo yoor A co Hundreds. s. d. d. is 18 12 is ? 30 6 2 40 s 4 S6 50 4 2 45 4 60 5 0 60 5 70) 5 10 72 80 6 84 T 90 They 6 96 8 100 8 108 110 9 2 120 120 10 O 192 make 1 shilling no illiners ADDITION AND SUBTRACTION TABLE. 13 14 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 11 12 2 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 13 14 3 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 15. 41 617| 8 | 9 | 10 | 11 | 12 | 13 14 15 16 51 71 81 9 | 10 | 11 | 12 | 13 | 14 15 16 17 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 17 18 7 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 17 18 19 8 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 19 | 20 I| 11 | 19 | 13 | 14 | 15 | 16 | 17 | 18 19 20 21 10 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 21 22 MULTIPLICATION TABLE. 1 2 3; 4; 5; 6; 7; 8; 9 101 111 12 2; 4; 6; 8; 10 ; 12 | 14 | 16; 18 201 221 24 SI 6.1 9;12; 15:18; 21; 24; 27; 30 331 36 + 1 8:12 | 16 | 20 | 24 : 28 | 52 | 56 401 441 48 5 : 10 ; 15 ; 20; 25 | 30 | 55 40 | 45 ; 50 55 60 6 : 12 18 : 24 | 30 | 36 ; 42 | 48 ; 54 | 601 66| 721 7 14; 21 | 28 | 55 | 42 | 49 | 56 ; 63 ; 701 771 84 8 | 16 | 34 | 32 40 | 48 | 56 64 ; 72 ; 801 88 96 9 18 : 27 | 56 | 45 | 54 | 63 | 72 ; 81 901 99|108 10 | 20 | 50 | 40 | 50 00 70 90 | 100110120 11 | 22 | 33 | 44 | 55 | 66 | 77 | 88 _99 | 1101121|132 12 24 | 36 | 48 | 60 | 72 | 84 | 96 | 108 | 120/132|144 To learn this 'Table : Find your multiplier in the left hand coluinn, and the multiplicand a-tor, 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. |