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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 proulems therein: after which, the scholar may learn decimals, which will be necessary in the reduction of currencies, computing interst, 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 throng the principal mercantile rules, have treated upor 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 casy and useful problems, for ineasuring 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 lic 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 DABOJL.

Pngere

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, 9.

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

218

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

,

en sum for months and days

217

Subtraction, Simple

25

Compound

Table, Numeration and Pence

9

Adition, Sabtraction, and Multiplication

10

of Weight and Measure

11

of Time and Motion

13

showing the number of days 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 amount of il. anyuíty, forborne

for 31 years or under, at 5 and 6

per cent.

Compound Interest

293

showing the present worth of 1l. 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.

296

showing the value of Federal Money in
other currencies

937

Tare and Trett

114

Useful Forms in transacting business

258

Weights of several pieces of English, Portuguse, &

French, gold coins, in dollars, cents, & mills 254

of Englisk & Portuguese gold, do. du. 255

of French and Spanish gold, do.

ib

DADOLL'S

SCHOOLMASTER'S ASSISTANT.

ARITIMETICAL TABLES.

Numeratiun Tabie,

Pence Lable.

30

to Hundreds of Millions,

oo Tens of Millions.
COYO. Hundreds of Thousands

DO Y Millions
o our Tens of Thousands.
co voer A Thousands.

1. s. d. d.

S, 20 is 1 8 12 is 1

26 .94 2 40 S 4 S6 3 50 4 2 48 60 5 0 60

5 70 5 10 72 6 80 6 81 90

96 8 100 8

108 110

120 100

120 100 199
8 7 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 74 farthings 1 penny, d
9 12

8 112 pence, 1 shilling, s 9:20 shillings, 1 pound, £..

ADDITION AND SUDTRAOTION TABLE,

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1 2 3 4 | 5 | 6 | 7 | 8 | 9 2 4 5 67 8 9 10 11 3 5 6 7 | 8 9 10 11 12 4 | 6 7 | 8 9 | 10 | 11 12 13 5 7 8 | 9 | 10 | 11 12 13 | 14

6 | 8 9 | 10 11 12 13 14 | 15 17| 9 | 10 11 12 13 14 15 | 16

8 | 10 | 11 12 | 13 14 | 15 16 17 *9 11 | 12 | 13 14 | 15 | 16 17 | 18 10 | 12 | 13 14 | 15 | 16 | 17 18 19

10 11 | 12 12 13 | 11 13 14 15 14 15 / 16 15 16 | 17 16 | 17 | 18 17 | 18 | 19 18 19 | 20 19 20 21 20 21 | 22

MULTIPLICATION TABLE,

8

1 | 2 | 3 | 4 | 5 | 6 | 71 9 | 10 11 12 2 1 4 1 6 | 8 | 10 | 12 14 16 18 20 22 24 3; 69 | 12 | 15 | 16 | 21 | 24 | 27 30 35 36 4 8 12 16 | 20 24 | 28 | 32 | 36 40| 44 48 5 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 50 55 60 6 | 12 | 18 | 14 | 30 | 36 | 42 | 48 | 54 60, 6672 7 14 | 21 | 28 | 35 | 42 | 49 | 56 63 70 771 84 8 | 16 | 24 | 32 40 | 48 | 56 | 64 | 72 80 88 96

9 18 : 27 | 36 | 45 | 54 | 63 | 72 | 81 | 901 99|108 10 | 20 | 30 40 50 60 70 80 90 | 100/110/120 11 | 22 | 33 | 44 | 55 | 66 | 77 | 88 | 99 | 11011211132

24 36 486072 34 96 108 W0132144

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 find the product, or answer.

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