Bring the given denominations first to a Vulgar fraction, and reduce said vulgar fraction to a decimal. 21. Reduce 11s. to the decimal of a pound? 22. What decimal is equal to 8s. the whole being 14. ? Answ..55 he} Answ. 4 Answ. 75 23. Reduce 15s. to the decimal of a pound? 24. Reduce 8d. to the decimal of a shilling? Answ..66666 25. Reduce Sd. to the decimal of a pound? 26. What is the decimal of 5 ounces, lib. Troy w. being the integer? 27. What decimal of a Cut. is 6ib Answ. .03333 Answ..41666, Answ. .0535714 Numbers Let 17s. 6d. be again given to be reduced to the deci mal of a pound. Annex a cypher to 6d. and divide by 12, 12) 610 (the pence in a shilling) the quotient is 5, to which prefix 17, and divide 17.5 by 20 210)17.5010 (the shillings in a pound) adding cyphers till the quotieut results without remainder and the decimal required is found, .$75 as before. .875, 28. What decimal of a yard is equal to 3 qrs. 2 na? Answ. .875 29. Bring 1 hhd. 21 gal. 4 pts. to the decimal of a tun? Answ. .335317. 30. What decimal of a pound is equal to 6oz. 14 dwt. Answ. .56006944. 10 gr. Troy? 81. What decimal of a pound is 17s. 44d.? Answ. .86875. 32. What decimal of a Cut. is equal to 3 Answ. .9375. 33. What decimal of a shilling, and of a pound, is 94d.? Answ .8125s, and .0406251. But But the decimals of sterling money may be wrote in one line by the following Rule. 1. Write half of the greatest even number in the place of shillings, for the first decimal figure. 2. Let the farthings in the given pence and farthings possess the second and third decimal places; observing to encrease the place of hundreds by 5, if the shillings are odd: and to encrease the thousands by as many units as there are times 24 in the pence and farthings. 3. If more than three places are needful, then divide half the number of farthings in the pence and farthings, (rejecting 24 or 6d. if there is one) by 12 the quotient written after three places before found will give the deci mal required. To find the value of a decimal of a superior denomi nation in the known parts of the lesser denomination. Multiply the decimal by that number which one of the higher denomination contains of the lesser, and from the product point off as many places to the right hand as there are in the given decimal, and the figures on the left of the separating point will be the number of the said lesser denomination, and those on the right a decimal thereof, of which find the value as before; and so from denomination to denomination till the lowest be arrived at, or till the figures cut off be all cyphers. Application. Application. What is the value of .8751. ? .875 20 s. 17.500 12 I multiply the decimal .875 by 20, (the shillings in a pound) and find the product 17.500, from which I point off the three lowest figures (being the number in the given decimal) by the separatrix, and so it stands 17s. .500, which 500 is a new decimal part of a shilling, which I multiply by 12 (the pence in a shilling) and find its value 6d. ; and therefore the value of the given decimal Answ. 17s. 6d. is 17s. 6d. 35. What is the value of .751. ? d. 6.000 Answ. 15s. Answ. 8d. Answ. 8d. 38. What is the value of .875 of a yard? Answ. 3grs, 2ną. 39. What is the value of .335317 of a tun? Answ. hhd. 21gals. 4pts. 40. What is the value of .56006944 of a . Troy? Answ. 6oz. 14dwt. 10gr. 41. What is the value of .868751.? Answ. 17s. 44d. 42. What is the value of .9375 of a Cwt.? Answ. 3grs. 21. But the value of the decimal part of a pound sterling may be expressed in one line thus: Double the first figure, or primes for shillings, and if the second be 5, or exceed 5, reckon one shilling more; the figures in the second and third places (rejecting 5 from the second) are so many farthings, abating 1 for every 24. Note, where the several figures cut off are 9, the value of the decimal is one more than the figure or figures on the left hand of the separatrix. Application. Application. Let it be required again to find the value of .8751. .875 $. 17 6 I say 8 and 8 is 16s. and 1 (for 5 in 7) makes 17s. Then 5 rejected out of 7 leaves 2 in the second place which wi the third account 25 farthings, and a ting 1, (being above 24) there rendit 24 farthings or 6d. ADDITION and SUBTRACTION of DECIMALS. O place the Numbers to be added or subtracted. That the Numbers to be added or subtracted, whether mixt or pure Decimals, take care to place the fifigures of the same local Value directly underneath each other (as in pue whole numbers) viz hundredths under hundredths, tenths under tenths, units under units, tens under tens, &c. So will all the separating Points be in one perpendicular row, but this may, or may not happen to the extreme Figures of mist Numbers either to the right hand or to the left. Rule. To add or subtract Decimals or mixt Numbers. Add or subtract them as if they were pure whole num bers, and from the sum or difference point off so many de eimal parts as are the most in any of the given numbers. N Examples |