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systems. As dccimal 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 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 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 Simplc Interest, in Federal Money, I have given sevemal 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 film

The public's most humble
and obedient Servant,

NATHAN DABOLL.

four, by

TABLE OF CONTENTS.

Compound,

Discount,

Duodecimals,

Ensurance,

Equation of Payments,

Evolution or Extraction of Roots,

Exchange,

Federal Money,

Subtraction of,

Fellowship,

Compound,

Fractions, Vulgar and Decimal,

Interest, Simple,

by Decimals,

Compuund,

by Decimals,

Invorsc Proportion,

Involution,

Loss and Gain,

Multiplication, Simple,

Application and Use of,

Supplement to,

Compound,

Numeration,

Practice,

Position,

Permutation of Quantities,

123

216

114

126

167

139

21
25

132

134

69, 143

108

157

122

165

155

166

128

27

30

37

48

15

99

188

192

Questions for Exercise,

197

Roduction,

56

of Currencies, do. of Coin,

82, 86
Rule of Three Direct, do. Inverse,

80, 97

Double,

136

Rules for reducing the different currencies of the several United

States, also Canada and Nova Scotia, each to the par

of all others,

88

89

Application of the preceding,

Short Practical, for calculating Interest,

114
for casting Interest at 6 per cent,

203
for finding the contents of Superfices and Solids,

208

to reduce the currencies of the different States to Fede-

ral Money,

206

Rebate, a short method of finding the, of any given sum, for

months and days,

205

Subtraction, Simple,

23

Compound,

43

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 month

to the same day in any other month,

100

showing the amount of 1l. or 1 dollar, at 5 and 6 per

cent. Compound Interest, for 20 years,

220

showing the amount of 11. annuity, forborne for 31 years

or under, at 5 and 6 per cent. Compound Interest, 291

showing the present worth of 1l. annuity, for 31 years,

at 5 and 6 per cent. Compound Interest,

221

of Conts, answering to the currencies of the United

States, with Sterling, &c.

221

showing the value of Fcderal Money in othor currencies,

225

Tare and Tret,

103

Useful Forms in transacting business,

226

Weights of several picces of English, Portugueso, and French

Gold Coins, in dollars, cents, and mills,

222

of English and Portuguese Gold,

do.

do. 223

of French and Spanish Gold, do.

223

do.

DABOLL'S

SCHOOLMASTER'S ASSISTANT.

ARITHMETICAL TABLES.

Nuneration Table.

Pence Table.

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e Hundreds of Mw.ions.

Tens of Millions.
covo Hundreds of Thousands.

esco Millions.
escovo e Tens of Thousands.
ooo veer wo Thousands.

d.
20 is 1 8
30 6
40 3 4
50 4 2
60 5 0
70 5 10
80 6 8
90 7 6
100 8 4
110 9 2
120 100

[blocks in formation]
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9 8 7 6 5 4 3 2 9 8 7

4 3 9 8 7 5 4 9 8 7 98 7 6 0 817 98

9

[graphic]

make 4 farthings 1 penny, d. 12 pence 1 shilling, 20 shillings, 1 pound, L.l.

s.

ADDITION AND SUBTRACTION TABLE.

1 | 2 | 31 41 51 0.1 71 81 9110111 | 12
2 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14
31 51 61 7.1 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15
41 61 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16
51 71 81.9 110 | 11 | 12 | 13 | 14 | 15 | 16 | 17
61 81 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18
7 | 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!

MULTIPLICATION TABLE.

11 21 31 4| 5 6 | 7 | 8 | 9 | 10 11 | 12

4161 8110 | 12 | 14 | 16 | 18 | 20 | 22 1 24 31 61 9 | 12 | 15 | 18 | 21 | 24 | 27 30 | 33 | 36 41 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 | 13 | 24 | 30 | 36 42 | 48 | 54 | 60 | 66 | 721 7 | 14 21 28.1 35 | 42 | 49 | 56 | 63 | 70 | 77 | 84 8 | 16 24 | 32 | 40 | 48 | 56 | 64 | 72 | 80 | 88 | 96 9 | 18 27 | 36 | 45 | 54 | 63 172 | 81 | 90 | 99 | 108 10 20 30 | 40 | 50 | 60170 | 80 | 90 | 100 | 110 | 120 11 | 22 | 33 | 44 | 55 | 66 177 188 99 | 110 | 121 | 132 1224 | 36 48 60 | 72 | 84 | 96 | 108 | 120 | 132 | 144

To learn tliis 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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