5,3760 4 3 1,5040 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 dı, 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, 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 EXAMPLES. ,3 = 6s. 5 for the odd shillings. £. ,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. 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 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. } REDUCTION OF CURRENCIES. Rules for reducing the Currencies of the several United States* into Federal Money. CASE I. New-England, 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.. * 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 South- Carolina, 73. 60. Kentucký, and 4s. $d. and Georgia, 88 Note. 1 farthing is ,25 ) which annex to the pence, an 2 ,50 divide by 12, yoa will have th 3 ,75 ) decimal required. £345 10 11 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. 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. 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. CASE II. 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. 11 3)292,6832(97,56106 Ans. ANSWERS. d. 640 00 334 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 cls. m, * 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. |