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EXAMPLES. 1. Reduce 12 s. 6d. 3 qrs. to the decimal of a pound

12 150

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4800

*4800 2. Reduce 15s. 9d. 3 grs. to the decimal of a pound.“

Ans. ,790625 3. Reduce 9d. 3 qrs. to the decimal of a shilling.

Ans. ,8125 4. Reduce 3 farthings to the decimal of a shilling.

Ans. ,0625 5. Reduce 3s. 4d. New-England currency, to the deci mal of a dollar.

Ans. ,555555+ 6. Reduce 12s. to the decinal of a pound. Ans. ,6

NOTE.-When the shillings are even, half the number with a point prefixed, is their decimal expression; but if the number be odd, annex a cipher to the shillings, and then by halving them, you will have their decimal expression. 7. Reduce 1, 2, 4, 9, 16 and 19 shillings to decimals. Shillings 1 2 4 9 16 19 Answers. ,05 , 2 .45 ,8 ,95

8. What is the decimal expression of 41. 19s. 6 d.?

Ans. £4,97708+ 9. Bring 341. 16s. 77d. into a decimal expression.

Ans. £34,8322916+ 10. Reduce 251. 195. 5 d. to a decimal.

Ans. £25,972916+ II. Reduce 3 qrs. 2 na. to the decimal of a yard. Ans.,875 12. Reduce 1 gallon to the decimal of a hogshead.

Ans. ,015873+ 13. Reduce 7 oz. 19 pwt. to the decimal of a lb. troy.

Ans. ,6625 14. Reduce 3 qrs. 21 lb. avoirdupois, to the decimal of a cwt.

Ans. ,9375 15. Reduce 2 roods, 16 perches, to the decimal of an acre.

Ans. ,6 16. Reduce 2 feet 6 inches to the decimal of a yard.

Ans. ,833333+ 17. Reduce 5 fur. 16 po. to the decimal of a mile. Ans. ,675 18. Reduce 4 calendar months to the decimal of a year.

Ans. ,375

CASE III. l'o find the value of a Decimal in the known parts of the In

teger. Rule.-1. Multiply the decimal by the number of parts in the next less denomination, and cut off so many places for a remainder, to the right hand, as there are places in the given decimal.

2. Multiply the renainder by the next inferior denomination, and cut off a remainder as before; and so on through all the parts of the integer, and the several denominations standing on the left hand inake the answer.

EXAMPLE3.. 1. What is the value of ,5724 of a pound sterling?

£ ,5724

20

11,4480

12

5.3760

(Carried up.s

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. Y*

They are
s New-England, New-York, and l..
Virginia,

North Carolina. )
Kentucky, and

Tennessee. Rule.-1. When the sum consists of pounds only, annex a cipner 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 penco and farthings to a docimal of a shilling; annex said decimal to the shillings, with a decimal point between, then divide the whole by the number of shillings con. tained in a dollar, and the quotient will be dollars, cents, mills, &c.

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

3)730

$ cts.

$243}=243 33} 2. Reduce 45l. 15s. 71d. New-England currency, to fedi. 20

[ral money. A dollar=6)915,625 127,500

.99 - $152,604+ Ans. ,625 decima.

d.

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

Thus a dollar is reckoned in
New-England, ) New-Jersey, ) | South )
Virginia,
Pennsylvania,

Carolina,

45. 3d."i o!
Kentucký, and Delaware, and
Tennessee,
Maryland,

Georgia,
New-York, and }

*1110 North Carolina, } 881 | 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 dollaa riq &c. See Note, page 78.

and

20

Nore. I farthing is ,25 ) which annex to the pence, and

- = ,50 divide by 12, you will have the

3 - = ,75 ) decimal required. 3. Reduce 3451. 10s. 11 d. New-Hampshire, &c. currency, to Spanish milled dollars, or federal money.

£345 10 114
- 20

d.
- 12)11,2500
6)6910,9375 .

,9375 decimal. $1151,8229+ Ans. 4. Reduce 1051. 14s. 3;d. New-York and North-Carolinu currency, to federal money. * £105 14 31

12)3,7500 i dollar=8)2114,3125 . ,3125 decimal.

$264,289 06 Ans.

Or $ dcm. 5. Reduce 4311. New-York currency to federal money. This being pounds only, * - 4)4310

$ cts. . Ans. $10771–1077,50 ' 0. Reduce 281. 11s. 6d. New-England and Virginia cur. rency, to federal money.

Ans. $95, 25 cts. 7. Change 4631. 10s. 8d. New-England, &c. currency, to federal money.

Ans. $1545, 11cts. Im. + 8. Reduce 35l. 19s. Virginia, &c. currency, to federal money.

Ans. $119, 83 its. 3 m.+ 9. Reduce 2141. 10s. 7{d. New-York, &c. currency, to federal money. . Ans. $536, 32 cts. 8 m. t.

10. Reduce 3041. 11s. 5d. North-Carolina, &c. currency, io federal money.

Ans. $761 42 cts. 7 m.t 11. Change 2191. 11s. 77d. New-England and Virginia currency, to federal money. Ans. $731 94 cts. t.

A dollar is 8s. in this currency-,454-10 of a pound; therefore, mulj. ply by 10, and divide by 4, brings the pounds into dollars, &c.

12. Change 2411. New-England, &c. currency, into fo. deral money.

Ans. $803, 33 cts. 1:3. Bring 201. 18s. 5;d. New-England currency, inte dollars.

Ans. $69, 74 cts. 64 m.+. 1.1. Reduce 4681. New-York currency to federal money

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

Ans. $2, 22 cts. 6,5 m.+:. 16. Borrowed 10 English crowns, at 6s. 8d. each, how mimny dollars, at 6s. each, will pay the debt ?

Ans. $11, 11 cts. I m. Note.-There are several short practical methods of relucing 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. RưLE-Multiply the given suin by 8, and divide the product by 3 and the quoticnt will be dollars, &c.*

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

2215x8=1960, and 1960:3=$6534–8653, 334cts. NOTE.-_When there are shillings, pence, &c. in the given sim, reduce them to the decimal.of a pound, then multiyly and divisle as above, &c.

* 2. Reiluce 361. 11s. 81d. New-Jersey, &c. currency, t. . federal money. £36,5854 decimal value.

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* A dollar is 7s.6d.=90d. in this currency=90-2403-8 or a pound; then rore multiplying by 8, and dividing by 3, gives the dollars, cents, Re.

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