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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 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 curremcies, computing interest and inany 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 pointed out, it will be considered as a mark of friendship and favor, by

The public's most humble
and obedient Servant,

NATHAN DABOLL.

rage.

Questions for exercise

209

Reduction

63

of Currencies, 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

9

Addition, Subtraction, and Multiplication 10

of Weight and Measure

11

of Time and Motion

13

showing the number of days from any day

of one inonth, to the same day in any otizer

month

172

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

6 per cent. Compound Interest, for 20 years 232

showing the amount of 11. annuity, forborne

for 31 years or under, at 5 and 3 per ceat.

Compound Interest

293

showing the present worth of 11. annuity, for

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

of cents, answering to tlie currencies of the

United States, with Sterling, &c.

256

showing the value of Federal Money in

other currencies

237

Tare and Trett

lit

Useful Forms in transacting business

983

Weights of several pieces of English, Portuguese,

& French, gold coins, in dollars, cts. & mills 234

of English & Portuguese gold, de.

do. 295

of French and Spanish gold,

do. do.

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$. d.

30

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90

96

Hundreds of Millions.

Tens of Millions.
o vo Hundreds of Thousands:

000 Millions.
ocovoser Tens of Thousands.

co voor A Thousands.
coco.voer A c Handreds.

d.

d. 20 is 1 8 12 is I

2 6 24 2 40

3 4 50 4 2 48 60 5 0 60 5 70 5 10 72 6 80 6 8 84 7 7 6

8 100 8 4 108 9 110 92 120 10

120 10 0 132 11 8 kap 6 5 4 S 2 9 8 7 6 5 4 3 9 8 7 6 5 4 9 8 7 6 5 9 8 7 6

make 9 8 7 4 farthings 1 penny, dr

9 8 12 pence, 1 shilling 1. 9 20 shillings, 1 pound, f.!.

9

ADDITION AND SUBTRACTION TABLE.

12 . 3 | 4 | 5 6 71.8! 9 10 | 11 | 12 2 4 | 5 61 7 8 9 | 10 11 | 12 | 13 | 14 31 51 6 1 7 . 8 I 9 | 10 | 11 | 12 | 13 | 14 | 15 41617181.9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 5 7 | 8 | 9 | 10 | 11 | 12 13 | 14 | 15 | 16 | 17 61 81 9 10 | 11 | 12 | 15 14 | 15 | 16 | 17 | 18 71 9 | 10 | 11 | 12 | 18 | 14 | 15 | 16 | 17 | 18 | 19 81 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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To learn this Table: Find your multiplier in the left hand column, and the multiplicand s-top, and in the Connon angle of meeting, or against your multiplier,

Site right hand, and under your multiplicant, 0: Win and the product, or answer.

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