Page:Encyclopædia Britannica, first edition - Volume I, A-B.pdf/499

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R I T II M E T I C K. ,900 =2.4657 60 = .1643 8 = ,0219 0.5 = .Q013 L. j, d. 2.6532=2 13 04 If the income for any number of days b.e required, find the income for one day as above ; and multiply the decimal anfwer by the ‘given number of days. Or, multiply the yearly penfion by the given number of days, and ufe the produdt as the yearly penfion. Thus, in Ex. 2. if the"'gentleman’s income for 64 days be demanded, you may either multiply 2.6532 by 64; or multiply 968.5 by 64 ; and then work" for the product as follows. 60000= 164.3835 1000= 2.7397 900= 2.4657 80= .2191 4= .0109 169.8189'= 169 ♦ 16 44 61984.0 The decimals in the table being circles of eight figures, we have ufed them as approximates, by confining the operations to four decimal places ; which, in affairs of this kind, is fuffieiently accurate. If the annual intereft of any principal fum be confidered as the .yearly penfiop, the interert of the fame principal for any number of days may be found by the table as taught above. The intereft of any principal fum for a year is eafily found, as being always the hundredth part of the produifl of the principal multiplied by the rate per cent. Examp. Required the intereft for 26 days of 685 1. principal, at 5 per cent. L. 685 S 34.25 annual interert. 26 800 =2.19178 20550 90 = .24657 6850 0.5= .00136 890.50 2-43971*= 3 8 D U O DECIMALS. Decimal praffice may be ufed with great advantage in the multiplication and divifion of duodecimals, where the integer is divided into twelve equal parts, called primes, and each prime into twelve feconds, each fecond into twelve thirds, &c. For the ready converfion of primes, feconds, thirds, iyc. into decimals of the integer, the following table is conftruffed. Vox.. L Numb. 18, 3

Decimal table of prims, fecemlj, &c. P rimes, Second;.; 7 birds. 1 oS^ .0069-* ' .000578,703, .00004822 .013$ .001157,407, .00009645 .0208J .00x736,1x1, .00014467 '02jf .002314,814, .000x9290 .00-2893,518, .00024112 •°347? .041$' ,.003472,222, .00028935 .0486/ .004050,925, .00033757 004629,629, .00038580 .0625 .005208,333, .00043402 .0694 .00048215 ,006365,740, ,00053047 .0763$ >007787.037. In the column of fourths, the decimals run on to eight places of a finite part, and nine figures of a circle ; but the fenite part by itfelf, which alone is inferted in the fable, will be found fufficient; and in the column of thirds too, the circle of three figures may in moft cafes be negledted. I. Multiplication. Example r. What is the produff of 247 by t8 5 •

9!°°) 407468.750

10.9632 Anf. 452 8 5N