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INTRODUCTION TO ARITHMETIC.

PART II.

CONTAINING

Tables of Foreign Coins, Compound Addition, a sketch of Decimals, Compound Subtraction, and an EXPLANATION OF CARD NO 16.

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TABLES OF WEIGHT AND VALUE.

In addition to card No. 12, the following Table of weight and value of Coins in the United States, is inserted for the teacher or reader.

N. B. dwt. or pwt. stands for Pennyweight: gr. Grain.

dut. gr.

4 8

of copper make a Half-Cent, or
of copper make 1 Cent, or

Cents.

.5

1.

17 7

of silver make 1 Dollar, or

100.

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The reader will recollect the rule for cutting off the

two right hand figures, to make dollars on the left. See page 44.

E*

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SELF TEACHER.

FEDERAL VALUE OF SILVER.

York Sixpence

Shilling

The Pennsylvania Fi'penny bit, or New

A half Pistareen

A Dime

One eight of a Dollar, or New-York

A Pistareen

An English Shilling

Cents.

6.25

8

10.

12.5

17.

22.2

A Quarter of a Dollar

A Half Dollar

25.

50.

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By a statement of eminent Teachers, we have infor

ination of other foreign Coins valued as follows:

The Pound Sterling,

of Ireland,

Pagoda of India,

Tale of China,

Mill-ree of Portugal,

Ruble of Russia,

Rupee of Bengal,

The Guilder of the United Netherlands,

Mark Banco of Hamburg,

Cents.

444.44

410.25

194.

148.

125.

66. 55.5

39.

33.5

French Franc,

Real Plate of Spain,

18.6

10.

COMPOUND ADDITION.

MONEY.

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Place pounds under pounds, shillings under shillings, pence under pence, and farthings under farthings.

Carry at every four in the farthings, at every twelve in the pence, at every twenty in the shillings, and at every ten in the pounds.

When adding farthings, divide their sum total by 4, set the remainder in place of farthings, and carry the quotient to the pence, because 4 farthings make one penny.

When adding pence, divide their sum total by 12, set the remainder in place of pence, and carry the quotient to the shillings, because 12 pence make one shilling.

When adding shillings, divide their sum total by 20, set the remainder in place of shillings, and carry the quotient to the pounds, because 20 shillings make one pound.

£. s.
72 13

89 16
21 17

KEY TO CARD No. 13.

LESSON 1.

d. Place the figures regurlarly on your 4 slates as represented by the card. Then 3 begin at the lowermost 3 in the column 4 of Pence, and say, 3 and 8 are 11, and 84 are 15, and 3 are 18, and 4 are 22; 3||how many times 12 in 22? once, and 10 over, that is 1 shilling and 10 pence; £277 14 10 set down 10, and carry 1 to the shillings.

32

61 6

Shillings.

One that I carry to 6 makes 7, and 1 is 8, and 17 are 25, and 16 are 41, and 13 are 54; how many times 20 in 54? twice and 14 over, that is, 1 pound 14 shillings; set down 14, and carry 2 to the pounds.

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SELF TEACHER.

Pounds, first column.

Two that I carry and 1 makes 3, and 2 are 5, and 1 is 6, and 9 are 15, and 2 are 17-7 and

Pounds, second column.

carry 1.

One that I carry to 6 makes 7, and 3 are 10, and 2 are 12, and 8 are 20, and 7 are 27-set down 27. Answer in words, Two hundred and seventy-seven pounds fourteen shillings and ten pence.

Prove addition by beginning at the top, and reckoning downwards.

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Two that I carry to 6 make 8, and 5 are 13, and 9 are 22, and 3 are 25, and 4 are 29; how many times 12 in 29?-2 times and 5 over, that is, 2 shillings and 5 pence; set down 5, and carry 2 to the shillings.

Shillings.

Two to 10 are 12, and 11 are 23, and 18 are 41, and 7 are 48, and 19 are 67; how many times 20 in 67?—3 times, and 7 over, that is, 3 pounds 7 shillings ; set down seven, and carry 3 to the pounds.

Pounds, first column.

Three to 1 is 4, and 1 is 5, and 6 are 11, and 1 is 12-2 and carry 1.

Pounds, second column.

One that I carry to 2 makes 3, and 7 are 10, and 3 are 13, and 4 are 17, and 8 are 25-5 and carry 2.

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