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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 currencies, computing interst, 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 Heduction, and often discourages them.

I have therefore placed a few problems in Fractions, according to the method above hinted ; and after going Xrough 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, kebate, &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 conmmon 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 pointad 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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25

Page.

Questions for Exercise

209

Reduction

63

of Currencies, do. of Coin

89, 93

Rule of Three Direct, do. Inverse

100, 108

Double

118

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
Subtractior, Simple

Compound

45

Table, Numeration and Pence

9

Adition, Subtraction, and Multiplication 10

of Weight and Measure

11

of Time and Motion

13

showing the number of cars from any day

of one month, to the same day in any other

month

172

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

6 per cent. Compound Interest, for 20 years 232

shewing the atmount of il. annuity, forborne

'for 31 year's or under, at 5 and 6 per

cent.

Compound lutere.st

233

showing the present worth of Il. annuity, for

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

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

Usefui Fórms in transacting business

238

Weizlts of ses eral pieces of English, Portuguse, &

French, gold coins, in dollars, cents, & mills 234

of English & Portuguese gold, dø. du. 235

of i'rench and Spanish gold, do.

do

ib

DABOLL'S

SCHOOL MASTER'S ASSISTANT.

ARITHMETICAL TABLES.

Numeration Table.

Pence Table.

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collundreds of Millions.
coco Tens of Milliong.
sollundreds of Thousands

Coco Millions.
woo voer Tens of Thousands.
ovoser A Thousands.
roser A Co Hundreds.

d.
20 is 1 8
30 2 6
40 3 4
50 4 2
60 5 0
70 5 10
80

6 8
90 76
100 8
110

9 2
120 10 0

60 72 84 96 108 120

A co 10 Units.

1 Fre

4 3 9 8 7 6 5 4

9 8 7 6 5

6 Funda

1 peck,
8,
1 bushel,

bu. "This measure is applied to grain, beans, flas-seed, salt, wats, oysters, coal, &c.

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ADDITION AND SUBTRACTION TABLO.

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1 1 2 IS 1 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 2 1 4 5 6 | 7 8 | 9 | 10 | 11 | 12 | 13 | 14 § 1 5 1 6 1 9 10 | 11 | 12 | 13 | 14 | 15 4 | 6 | 7 | 8 | 9 | 10 | 11 | 12 13 | 14 | 15 | 16 51 7 | 8 | 9 | 10 | 11 | 12 | 13 14 | 15 | 16 | 17 6 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 9 | 10 | 11 | 19:13 | 14 | 15 | 16 | 17 | 18

1

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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1 2 3 4 5 6 7 8 9 10 11 12 2; 4; 6; 8 1019 14 16 18 201 901 24 c i 9 12 15 | 16 | 21:35 27 ! SO 951 961 IS1620 94

32

36 401 4448 419; 25; 50 551 Co

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Tare aarn this Table : Find your multiplier in te left Usefuhiuman, We multiplican a-top, and in the Weignes of ses eral pieces of English, Portuye multiplier,

French, guld coins, in dollars, cents, & mills 23. of English & l'ortuguese gold, de. du. 235 of French and Spanish gold, do. do ib

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