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systems. As decimal fractions may be learneu 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 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 inost 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 au thor, 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,

NATHAN DABOLL.

TABLE OF CONTENTS.

PAGE

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0

138

V9

151

Subtraction of

Fellowship

Compound

Fractions, Vulgar and Decimals

Insurance

Interest, Simple

by Decimals

Compound

by Decimals

Inverse Proportion

Involution

Loss and Gain

Multiplication, Simple

application and use of

Supplement to

Compound

Numeration :

Practice

Position

permutation of Quantities

27

144

146

74, 155

126

120

169

134

177

167

178

140

23

32

38

31

15

109
200
204

O

88

114

Useful Forms in transacting business

238

Weights of several pieces of English, Portuguese, and French

gold coins, in dollars, cents and mills

234

of English and Portuguese gold, do.

235

of French and Spanish gold,

do. do.

do.

DABOLL'S

SCHOOL MASTER's ASSISTANT.

AKITHMETICAL TABLES.

Numeratiun Tabie.

Pence dable.

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coHundreds of Millions,

0 Tens of Millions.
coo Millions
coco y Hundreds of Thousands

o voor Tens of Thousands.

co voor A Thousands. woo yoor A co Hundreds.

s. d. d. is 18 12 is ? 30 6

2 40 s 4 S6 50 4 2 45 4 60 5 0 60 5 70) 5 10 72 80 6

84 T 90 They 6 96 8 100 8

108 110

9 2 120

120 10 O 192
9 8 7 6 5 4 2
9 8 6 5 4 S
9 8 7 6 5 4
9 8 7 6 5
9 8 7 6

make
9 8 7 4 farthings 1 penny, il
9 8 112 pence,

1 shilling no illiners

ADDITION AND SUBTRACTION TABLE.

15

17

12 s | 4 | 5 | 6 | 7 | 8 | 9 | 10 11 12 2 | 4 | 5 | 6 7 | 8 | 9 | 10 | 11 | 12 13 14 3/ 5/ 617| 8 | 9 | 10 | 11 | 12 13 14 4 / 6 7 | 8 | 9 | 10 | 11 12 13 14 15 | 16 5 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 15 16 6

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

? | 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

1

36

1 | 2 3 | 4 | 5 | 6 | 7 | 8; 9 10 11 12 2; 4; 6; 8; 10 | 12 | 14 | 16 18 20 221 24 SI 6. 9; 12; 15:18 | 21 | 24 | 27 | 30 331 36

8:12 | 16 | 20 | 24 | 28 | 32 | 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 | 42 49 | 56 63 : 70177| 84 8 | 16 | 24 32 | 40 | 48 | 56 | 64 72 801 88 96

9 | 18 | 27 | 36 | 45 | 54 63 | 72 _81 901 99|108 10 | 20 | 50 | 40 | 50 | 60 | 70 | 89 | 90 100 110 120 11 | 12 | 33 | 44 | 55 | 66 | 77 | 88 | 99 | 110|121/132 12 / 24 | 30 | 48 | 60 | 72 | 84 | 96 | 108 | 120/132/144

To learn this Table : Find your multiplier in the left hand coluinn, 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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