% Reduce 15s. 9d. 3qrs. to the decimal of a pound Ans. ,790625 3. Reduce 9d. 3qrs. to the decimal of a shilling, Ans. „8125 4. Reduce 3 farthings to the decimal of a shilling. Ans. ,0625 5. Reduce 38. 4d. New England Currency, to the decimal of a dollar. Ans. ,555555+ of 6. Reduce 12s. to the decimal 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 cypher 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 ,1 ,2 ,45 ,8 ,95 8. What is the decimal expression of 41. 198. 6jd.? Ans. £4,97708+ 9. Bring 34l. 16s. 73d. into a decimal expression. Ans. £34,8322916+ 10. Reduce 251. 198. 54d. to a decimas. Ans. £25,972916+ 11. Reduce Sqrs. 2na. to the decimal of a yard. Ans. ,875 12. Reduce 1 gallon to the decimal of a hogshead. Ans. ,015873ť 13. Reduce 7oz. 19pwt. to the decimal of a lb. troy. Ans. ,6625 14. Reduce Sqro. 211b. Avoirdupois, to the decimal of an cwt. Ans. ,9575 15. Reduce s roods, 16 perches to the decimal of an Ans. ,6 C 16. Reduce 2 feet 6 inches to the decimal of a yard. Ans. ,833333+ 17. Reduce 5fur. 16po. to the decimal of a mile. Ans. ,675 18. Reduce 4} calendar months to the decimal of a Ans. 375 AL CASE III. "To find the value of a decimal in the known parts of the integer. RULE. 1. Multiply the decimal by the number of parts in the next less denomination, and cut off so many places for a "remaindler, to the right hand, as there are places in the given decimal. 2. Multiply the remainder 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 de Dominations standing on the left hand make the answer. EXAMPLES. 1. What is the value of ,5724 of a pound sterling ? £. ,5724 20 10. Hind the proper quantity of ,089 of a mie. Ans. 28po. 2yds. ift. 11,04in. 11. Find the proper quantity of ,9075 of an acre. Ans. 3r. 25,2po 12. What is the value of ,569 of a year of-365 days ? Ans. 207d. 16h. 26m. 24sec. 13. What is the proper quantity of ,002084 of a pound Ans. 12,0038gr. 14. What is the value of ,046875 of a pound avoirdu. Ans. 12dr 15. What is the value of ,712 of a furlo..g? Ans. 28po. 2yd. Ift. 11,04in. 16. What is the proper quantity of ,142465 of a year ? Ans. 51,999725days. pois ? 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 INSPEOTION. 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 or place of hundredths, by 5 if the shil. lings be ocd; and the third place by 1 when the far. things exceed 12, and by 2 when they exceed 36. EXAMPLES. 1. 1. Find the decimal of 7s. 97d. by inspection. 33 = 6s. 5 for the odd shillings. 2. Find the decimal expression of 168.'41d. and 178 84. Ans. £, ,819, and £ ,885 3. Write down £47 18 104 in a decimal expression. Ans. £47,943 4. Reduce £1 85 9d. to an equivalent decimal. Ans. £1,408 A short and easy method to find the value of any deci. Hial 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 cypher must be 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 to be [deducted out of 7. Add 7d. 29 farthings remain to be added. Deduct d. for the excess of 12. Ans. 13s. 7d. ' ' Ans. 17s. 6td. 3. Find the value of £. ,842 by inspection. Ans. 168. 10d. 4. Find the value of £. ,097 by inspection. Ans. 1s. 11 led REDUCTION OF CURRENCIES. RULES, To reduce the currencies of the different states, where a dullar is an even number of shillings, tu Federa! Money. They are New-England, Nere-York, and ? North-Carolina. S RULE 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; ames said decimal to the shillings, with a decimal point between, then divide the whole by the number of shillings containeil a dollar, and the quotient will be dollars, cepts, mills, &c. * Forinerly 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 emitted bills of credit, which afterwards depreciated in their value, ir some states more, in others less, &c. Thus a dollar is reckoned in ?>488 fAdding a cypher to the pounds, multiplies the whole by 10, loringing them into tenths of a pound then because a Se lollar is just three-tenths of a pound N. I currency, divi. ing those tenths by S, brings them intc dollars, &c. Sem | 'ote, nase 85. |