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 inost 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. Rules for reducing the different currencies of the several do. do. - showing the amount of 17. or one 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 showing the present worth of 11. annuity, for 31 years, at 5 and 6 per cent. Compound Interest of cents, answering to the currencies of the United States, 237 234 66444Thousands. 5 Hundreds. Tens. 8 7 6 2 9 8 7 6 5 4 S 8 7 5 4 Pence able. s. d. is 18 3 50 4 2 60. 5 0 70 5 10 80 6 91 90 7 61 8 4 100 9 2 120 10 0 d. S. 12 is ! 24 72 84 96 108 120 182 10 H 8 7 6 5 8 7 6 moke 8 7 4 farthings 1 penny, d 8 12 pence, 1 shilling. on billings 45 54 63 72 5¦ 10¦ 15¦ 20 ¦ 25 ¦ 30 ¦ 35 40 30 36 42 : 48 35 42 49 56 6 12 18 24 7 14 21 28 8 16 24 32 40 48 56 64 918 27 36¦ 45 ¦ 54 ¦ 6372 10 20 30 40 50 60 70 ¦ 80 11 | 22 | 33 44 ¦ 55 ¦ 66 ¦ 77 99 110|121|132| |12|24|36| 48 ¦ 60 ¦ 72 ¦ 84¦ 96¦ 108¦ 120|132144| 90|99|108 ¦ 90 100|110|120 88 81 10 11 12 20 22 24| 30| 33| 36 40 44 48 50| 55| 60| 60|66| 72 70| 77|84| 80 88 96 To learn this Table: Find your multiplier in the left hand coluinn, 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. |