2. Find the decimal expression of 16s. 4.10 and 17 Ins. £ ,819, and £ ,885 3. Write down £ 47 18 101 in a decimal expression. Ans. £47,943 4. Reduce £ 1 Ss. 20. to an equivalent decimal. Ans. £ 1,40 PROBLEM H. A short and easy method to find the value of any deci mal of a pound by inspection. RULE. Double the first figure, or place of tenths for shillings, and if the second figure be 5, or more than 5, reckon another shilling ; then, after this 5 is deducted, call the figures in the second and third places so many farthings, abating 1 when they are above 12, and 2 when above 36, and the result will be the answer. Note. When the decimal has but 2 figures, if any thing remains after the shillings are taken out, a cipher must be annexed to the left hand, or supposed to be so. EXAMPLES. 1. Find the value of £. ,679 by inspection. 195.=double of 6 deducted out of 7 Add 7 d.=29 farthings remain to be added. Deduct d. for the excess of 12. Ans. 13s. 70. Ans. 178. 64d. 3. Find the value of £. ,842 by inspection. Ans. 16s. 10d. 4. Find the value of £. ,097 by inspection. Ans. 1s. 114d. 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 North Carolina.' RULE. "1. When the sum consists of pounds only, annex a cipher 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 decimal of a shilling; annex said decimal to the shillings, with a decimal point between, then divide the whole by the number of shillings contained in a dollar, and the quotient will be dollars, cents, mills, &c. * Formerly the pound was of the same sterling value in all the colonies as in Great-Britain, and a Spanish Dollar worth 4s6-but the legislatures of the different colonies emited bills of credit, which afterwards deprecia. ted in their value, in some states rore, in others less, &c. Thus a dollar is reckoned in New-England, New Jersey, SouthVirginia, Pennsylvania, 68 786 Carolina, Kentucky, and 488 Delaware, and and Tennessee. Maryland. Georgia. +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 a pound N. E. currency, dividing those tenths by 3, brings them into dollars, &c. See Note, page 85. H2 88 EXAMPLES 1. Reduce 731. New-England and Virginia Currency, to Federal Money. 3)730 $ cts. $2431=243 33} 2. Reduce 451. 158. 7 d. New-England currency, to 20 federa federal money. A dollar=6915,625 127,500 $152,6044 Ans. ,625 decimal. NOTE. i farthing is ,25 ) which annex to the pence, 2 ,50 Ş and divide by 12, you will 3 = 75 have the decimal required. 3. Reduce 345l. 10s. 11 d. New-Hampshire, &c. currency, to Spanish milled dollars, or federal money. £345 10 111 20 d. 12)11,2500 6) 6910,9375 ,9375 Decimal. $1151,8229+ Ans. 4. Reduce 105l. 14s. 3 d. New-York and North-Caro lina currency, to federal money, £105 14 33 d. 20 123,7500 A dollar=8)2114,3125 ,3125 decimal. $264,289 06 Ans. Ör $ dem. 5. Reduce 4311. New-York currency to federal money This being pounds only.* - 44310 $ cts. Ans. $1077 = 1077,50 * A dollar is 88. in this eurrency–,4=it of a pound; therefore, multiply by 10, and divide by 4, brings the pounds into dollars, &c 6. Reduce 281. 11s. 6d. New-England and Virginia currency, to federal money. Ans. $95,25cts. 7. Change 4631. 108. 8d. New-England, &c. currency, to federal money: Ans. $1545, 11cts. 1m. + 8. Reduce 35l. 19s. Virginia, &c. currency, to federal money. Ans. $119, 83cts 3m.+ 9. Reduce 2141. 10s. 7 d. New-York, &c. currency, to federal money. Ans. $536, 32cts. 8m. + 10. Reduce 3041. 118. 5d. North-Carolina, &c. currency, to federal money. Ans. $761, 42cts. 7m.t. il. Change 2191.11$. 77d. New-England and Virginia cerrency, to federal money. Ans. $731, 94cts. + 12. Change 2411. New-England, &c. currèncy, into federal money. Ans. $803, 33cts. 13. Bring 201. 18s. 5 d. New-England currency, into dollars. Ans. $69, 74cts. 61m. + 14. Reduce 4681. New-York currency, to federal money Ans. $1170 15. Reduce 178. 9 d. New-York, &c. currency, to dol Ans. $2,22cts. 6,5m.+ 16. Borrowed 10 English crowns, at 6s. 8d. each, how many dollars at 68. each, will pay the debt ? Ans. $11, 11cts. 1m. NOTE.—There are several short practical methods of reducing New-England and New-York currencies to Federal Money, for which see the Appendix. CASE II. Jersey, Pennsylvania, RULE. Multiply the given sum by 8, and divide the product by 3, ana ihe quotient will be dollars, &c.* 1. Reduce 245l. New-Jersey, &c. currency, to federal money. 245x8 = 1960, and 1960_3$653) $653, 33}cts. Note. When there are shillings, pence, &c. in the * A dollar is 7s. 6d.=90d. in this currency == of 2 pound; therefore, multiplying by 8, and dividing by 3 gives the dollars, cents, &c. lars, &c. EXAMPLES. given sum, reduce them to the decimal of a pound, then multiply and divide as above, &c. 2. Reduce 361. 113. 8.d. New Jersey, &c. currency, to tvileral money. £36,5854 deçimul value. 8 3)292,6832(97,56106 Ans. ANSWERS. d. cts. m. 3. Reduce 240 0 0 sederal money 640 00 4. Reduce 125 8 0 334 40 5. Reduce 99* ñ 64 265 00 5 6. Reduce 100 0 0 266 66 6 7. Reduce 25 7 67 14 4 8. Reduce 0 17 9 2 36 6,6 CASE III. To reduce the currency of South-Carolina and Georgia, to federal money. RULE. Blultiply the giren sum by So, and divide the product by 7, the quotient will be the dollars, cents, &c.* 1. Reduce 1001. South Carolina and Georgia currency, o trderal honey. 1001. X30=3000; 3000:-7=428,5714 Ans. 2. Reduce 541. 168. 9 d. Georgia currency, to federal money 54,8406 decimal ccpression. 30 EXANPLES. 7)1645,2180 Ans. 235,0311 ANSWERS. £. $ cts. m. 3. Reduce 94 14 8 to federal money, 405 99 8+: 4. Reduce 19 17 6 85 18 7 + 5. Reduce 417 14 6 1790 25 6. Reduce 140 10 0 602 14 24 7. Reduce 160 0 0 685 71 4 * 43. 8d. or 56d. to the dollar= = of a pound; therefore X30_-7 |