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systems. Asdecimal fractions may be learned much easier than vulgar, and are more simple, useful, and neces sary, 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 author, 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

and obedient Servant,

NATHAN DABOLL.

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20

7 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 8 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 9|11|12 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21

10 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22

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63

701 771 84

80 88| 96

81

90|99|108

100 110 120

55

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66 77 88

99

110|121|132

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7 ¦ 14 21 ¦ 28 ¦ 35 ¦ 42 ¦ 49¦ 56 1¦ 16 24 32 40 48 11 56 64 72 9 18 27 S6|45|54|63|72 10 20 30 40 | 50 | 60 | 70 | 80 90 11 22 33 44 1¦ |12| 24 | 3648 60

72 84 96 108

To learn this Table: Find your multiplier in the left Irand 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.

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