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systems. As decimal fractions may be learned much easier than vulgar, and are more simple, useful, and necessary, and soonest wanted in more useful branches of Arith metic, 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 Re duction, 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 pointed out, it will be considered as a mark of friendship and favour, by

The public's most humble

and obedient Servant,

NATHAN DABQLL.

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63 70 77 84

72|80| 881 96

6372

81 90|99|108

5 10 15 20 | 2 | 30 | 35 | 40 | 61218

24 3036 | 42 | 48 |

54

7 | 14 | 21 28 35 42 4956 8|16| 24 | 32 | 40 | 48 | 56 | 64 | 918 27 36 | 45 10 | 20 30 | 40 | 50 | 60 | 70 |80|90|100|110|120 11 22 33 | 44 | 55 | 66 | 77 | 88 | 99|110|121|132 |12 | 24 | 36 | 48 | 60 | 72 | 84 | 96 | 108 120 132|144

To learn this 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 fins the product, or answer.

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