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Ans. Ils. 5d. 1,5 grs 2. What is the value of 75 of a pound? Ans. 158 3. What is the value of ,85251 of a pound?

Ans. 17s. Od. 2,4 qrs. 4. What is the value of 040625 of a pound? Ans. 9fd. 5. Find the value of ,8125 of a shilling.

Ans. 93d. 6. What is the value of ,617 of a cwt. ?

Ans. 2 qrs. 13 lt. 1 oz. 10,6 dr. 7. Find the value of ,76442 of a pound troy.

Ans. 9 oz. 3 pwt. 11 gr. 8. What is the value of ,875 of a yd. ? Ans. 3 qrs. 2 na. 9. What is the value of ,875 of a hhd. of wine?

Ans. 55 gals. Oqt. 1 pt. 10. Find the proper quantity of ,089 of a mile.

Ans. 28 po. 2 yds. 1 ft. 11,04 in. 11. Find the proper quantity of ,9075 of an acre.

Ans. 3 r. 25,2 po. 12. What is the value of ,569 of a year of 365 days?

Ans. 207 d. 16 h. 26 m. 24 sec. 13. What is the proper quantity of ,002084 of a pound trog?

Ans. 12,00384 gr. 14. What is the value of,046975 of a pound avoirdupois?

Ans. 12 , 15. What is the value of ,712 of a furlong?

Ans. 28 po. 2 yds. 1 ft. 11,04 in. 16. What is the proper quantity of ,142465 of a year ?

Ans. 51,999725 days,

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CONTRACTIONS IN DECIMALS.

PROBLEM I. A CONCISE and easy method to find the decimal of any number of shillings, pence and farthings, (to three places, by INSPECTION.

RULE.-1. Write half the greatest even number of shillings for the first decimal figure.

2. Let the farthings in the given pence and farthings possess the second and third places; observing to increase the second place at

place of hundredths, by 5, if the shillings be odd; and the third pla
by 1 when the farthings exceed 12, and by 2 when they exceed 36.

EXAMPLES.
1. Find the decimal of 78. 9 d. by inspection.

,3 = 6s.

5 for the odd shillings.
39=the farthings in 9 d.
2 for the excess of 36.

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£. ,391=decimal required. 2. Find the decimal expression of 16s. 4 d. and 17s. 8

Ans. £ ,819, and £ ,885 3. Write down £47 18 104 in a decimal expression.

Ans. £47,943 4. Reduce £1 8s. 2d. to an equivalent decimal.

Ans. £1,41

1

PROBLEM II.

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short and easy method to find the value of any decima

a pound by inspection, RULE.-Double the first figure, or place of tenths, for shillings, if the second figure be 5, or more than 5, reckon another shilling; after this 5 is deducted, call the figures in the second and third p so many farthings, abating 1 when they are above 12, and 2 above 36, and the result will be the answer.

Note. When the decimal has but 2 figures, if anyt remains after the shillings are taken out, a cipher mu: annexed to the left hand, or supposed to be so.

EXAMPLES.

1. Find the value of $. ,679 by inspection.

12s=double of 6
1 for the 5 in the second place which is

deducted out Add

7d.=29 farthings remain to be added. Deduct d. for the excess of 12,

Ans. 13s. 70.

2. Find the value of £.,876 by inspection. Ans. 17s. 3. Find the value of £.,842 by inspection. Ans. 16s. 4. Find the value of £.,097 by inspection. Ans. ls. 1

NO

North Carolina. }

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REDUCTION OF CURRENCIES. Rules for reducing the Currencies of the several United

States* into Federal Money.

CASE I.
To reduce the currencies of the different states, where a
dollar is an even number of shillings, to Federal Money.
They are

New-England,
Virginia,
Kentucky, and

Tennessee. RULE. 1. When the sum consists of pounds only, annex a cipnes to the pounds, and divide by half the number of shillings in a dollar, the quotient will be dollars.t

2. But if the sum consists of pounds, shillings, pence, &c. bring the given sum into shillings, and reduce the pence and farthings to a deeimal of a shilling; annex said decimal to the shillings, with a decimal point between, then divide the whole by the number of shillings cogtained in a dollar, and the quotient will be dollars, cents, mills, &c.

EXAMPLES. 1. Reduce 731. New-England and Virginia currency, to Federal money.

3)730

cle.

$2431=243 33 2. Reduce 451. 15s. 7d. New-England currency, to fedes 20

fral money.

d. A dollar=6)915,625 12)7,500

$152,604+ Ans. ,025 decima..

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* Formerly the pound was of the same sterling value in all the colonies as in Great-Britain, and a Spanish Dollar worth 4s. 6d:--but the legisla tures of the different colonies emitted bills of credit, which afterwards do preciated in their value, in some states more, in others less, &c.

Thus a dollar is reckoned in
New-England, New-Jersey,

South-
Virginich,
Pennsylvania,

Carolina,
63

73. 60. Kentucký, and

4s. $d.

and
Delaware, and
Tennessee, Maryland,

Georgia,
New-York, and

88
| Adding a cipher to the pounds, multiplies the whole by 10, bringing
them into tenths of a pound, then because a dollar is just three tenths of
pound, N. E. currency, dividing those tenths by 3, brings them into dollaza
&c. See Note, page 78.

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Note. 1 farthing is ,25 ) which annex to the pence, an 2

,50 divide by 12, yoa will have th 3

,75 ) decimal required.
3. Reduce 3451. 10. 11 d. New-IIampshire, &c. curre
cy, to Spanish milled dollars, or federal money.

£345 10 11
20

d.

12)11,2500 6)6910,9375

,9375 decimal. $1151,8229+ Ans. 4. Reduce 1051. 14s. 3 d. New-York and North-Caro au currency, to federal money. £105 14 3

d 20

12)3,7500 A dollár=8)2114,3125

,3125 decimal. $264,289 06 Ans.

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Or $ dcm. 1000

cts.

to federal money:

5. Reduce 4311. New-York currency to federal mon This being pounds only,*-- 4)4310

Ans. $10771=1077,50 6. Reduce 281. 11s. 6d. New-England and Virginia c jency, to federal money.

Ans. $95, 25 cts 7. Change 4631. 10s. 8d. New-England, &c. currer

Ans. $1545, 11cts. Im. 8. Reduce 351. 195. Virginia, &c. currency, to fed money.

Ans. $119, 83 cts. 3 m. 9. Reduce 2141. 10s. 7 d. New-York, &c. currency

Ans. $536, 32 cts. 8 m. – 10. Reduce 3041. 11s. 5d. North-Carolina, &c, curre

Ans. $761 42 cts. 77 m.11. Change 2197. 11s. 730. New England and Virg currency, to federal money. Ans. $731 94 cts.

federal money.

to federal money.

* A dollar is 8s. in this currency=4-10 of a pound; therefore, ply by 10, and divide by 4, brings the pounds into dollars, &c.

deral money.

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12. Change 2411. New-England, &c. currency, into fee

Ans. $803, 33 cts.

201 13. Bring 201. 18s. 5 d. New-England currency, inte dollars.

Ans. $69, 74 cts. 6. m. +

bel 14. Reduce 4681. New-York currency to federal money

Ans. $1170 15. Reduce 17s. 9d. New-York, &c. currency, to dol- 11.2 lars, &c.

Ans. $2, 22 cts. 6,5 m. + 16. Borrowed 10 English crowns, at 6s. 8d. each, how many dollars, at 6s. each, will

12.1 the debt? pay

Ans. $11, 11 cts. ) m.
NOTE--There are several short practical methods of re-
ducing New-England and New-York currencies to Federal
Money, for which see the Appendix.

CASE II.
To reduce the currency of New Jersey, Pennsylvania,
Delaware, and Maryland, to Federal Money.

3 RULE.--Multiply the given sum by 8, and divide the product by 3, and the quotient will be dollars, &c.*

4 EXAMPLES.

13. 1. Reduce 2451. New-Jersey, &c. currency, to federal money.

£245 X 8=1960, and 1960--3--$6531_$653, 33 cts.

NOTE.When there are shillings, pence, &c. in the given sum, reduce them to the decimal of a pound, then multi, ly and divide as above, &c.

2. Reduce 361. 11s. Bid. New-Jersey, &c. currency, to Po federal money.

£36,5854 decimal value.
8

11 3)292,6832(97,56106 Ans. ANSWERS.

d.
3. Reduce 240 0 O to federal money

640 00
4. Reduce 125 8 0

334 40 5. Reduce 997 61

265 00 5+ 6. Reduce 100 0

266 66 6+ 7. Reduce 25 3 way

67 14 4 8. Reduce 0 17 9

2 36 6,6

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* A dollar is 7s, 68.90d. in this currency=90-24033-8 of a pound; there fore multiplying by 8, and dividing by 3, gives the dollars, cents, &c.

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