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systems. As decimal fractions may be learnel, 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 Fractiong omiited, until further progress in tha science shall make them necessary.

It
may

be well to obtain a general idea of them, and to attend to two or thrce 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 Arithinetic 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,

NATIAN DAROL.L.

Page.

Quest' i 's for exercise

209

Reduction

of Ourrencies, do. of Coin

89, 93

Rule of Three Direct, do. Inverse

100, 108

Double

148

Rules, for reducing the different currencies of the

several United States, also Canada and No-
va-Scotia, each to the par of all others

96, 97

Application of the preceding

98

Short Practical, for calculating Interest 126

for casting Interest at 6 per

cent.

215

for finding the contents of Superfices & Solids 220

to reduce the currencies of the different

States, to Federal Money

218

Rebate, A short method of finding the, of any giv-

en sum for months and days

217

Subtraction, Simple

25

Compound

45

Table, Numeration and Pence

Addition, Subtraction, and Multiplication

,

10

of Weight and Measure

11

of Time and Motion

showing the number of days from any day

of one month, to the same day in any other

monti

172

showing the amount of 11. or 1 dollar, at 5 &

6 per cent. Compound Interest, for 20 year's 232

showing the amount of 1l. annuity, forborne

for S1 years or under, at 5 and 6 per cent.

Compound Interest

233

showing the present worth of 1l. annuity, for

31 yrs. at 5 & 6 per c. Compound Interest ih.

of cents, answering to the currencies of the

United States, with Sterling, &c.

236

showing the value of Federal Money in

other currencies

237

Tare and 'Trett

114

Useful Forms in transacting business

258

Weights of several pieces of English, Portuguese,

& French, gold coins, in dollars, cts. & mills 294

of English & Portuguese gold, do. do. 295

of French and Spanish gold, do. dos

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Hundreds of Millions.
0 00 Tens of Millions.
000 Millions.
O co v Hundreds of Thousands

co voor Tens of Thousands
DO VOU A Thousands

d.

d. S. 20 is 1 8 12 is 1 30 2 6 24 40

3 50

48 60 5 0 60 5 vo 5 10 72 6 80 6 8 84 7. 90 en on 6 96 8 100 8 4 108 9 110 9 2 120 10

120 10 0 132 11
8 7 6 5 4 3
9 8 7 6 5 4 3
9 8 7 6 5
9 8 7 6 5
9 8 7 6

micne
9 8 7 4 farthings 1 penoy,

d 9 8 12 pence, 1 shilling, S.

9 20 shillings, 1 pouud,to 1,

ADDITION AND SUBTRACTION TABLE.

5

27. 21:31:41 31 6:1:7 8 9 10 | 11 | 12 21415-1.6171841 910 | 11 | 12 | 13 14 31 51 8171 8 9 | 10 | 11 | 12 | 13 | 14 15 41 6| 71 81 9 | 10 | 11 | 12 | 13 | 14 | 15 16 17 | 8

9

10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 18/ 9. 10.11 | 12 | 13 14 | 15 | 16 | 17 | 18 7 1 9 | 10 | 11 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 8 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 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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MULTIPLICATION TABLE:

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1 2 31:4; 5; 6; 7; 8; 9 10 11 12 2 41 6 8 10 12 14 16 18 20 22 24 31 6 9 ; 12 15 | 18 | 21 | 24 27 301 331 36 4 8 12 | 16 | 20 | 24 28 32 36 401 44 48 5 10 15 20 25 30 35 40 45 50 55 60 6 : 12,18 | 24 | 30 | 36 | 42 | 48 54 60 661 72 7 14 21 | 28 | 35 | 4249 56 63 701771 34 8| 16 | 24 | 32 40 48 56 64 72 801 881 96

9 | 18 | 27 56 45 54 | 63 : 72 81 901 99|108 10 20 30 40 50 60 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 | 120/132/1441

1

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701

To learn this Table : Find your multiplier in the left Irand column, and the multiplicand a-top, and in the conman angle of meeting, or against your multiplier, along at the right hand, and ander your multiplicand, you will find the product, or anster.

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