| XXX | (416) | XXX |
416 . A R I T H M E T I C K. 60,+4 of 4, Divide by 60, divide again the quot by Yards. L. L. s. d. 4, and to theTjrft quot add a 4th of the fecond cjuot. 7= 39-9S833.99583-== 39319H 80X3,— s 2 of 80. Divide by 80, multiply the quot 70= 19 2 by 3, and from the produdl fubtradt a 12th of the firtl 700 = 399.583 = " 399 11 8 quot. 7000= 3995-83* = 3995 16 8 Ex. 1. At i f. pgr yard, what coft 432 yards ? 70000= 3.99583 = 39958 6 8 700000 = 399583.3= 399583 6 8 One 3 d = 144 Now, every number may be refolved injo deCupJeS of One 8th of that =: 18 the feveral digits of which it is compofed • find therefore One 40th of that = .45^ 9 s. the price of each decuple by itfelf, as already taught, Ex. 2. At 3 f. what coft 728,5 i and their fum will be the price pf the whole. One8th= 91.0625 L. s. d. Examp. i. Required the price of 7956 yards, at One 40th ®f that = 2.2765625 = 2 5 6J per yard. Meth. III. The third method is by decimal tables a 1 s. j^d.Yards. L. of rates fuited to the nine digits ; fuch as thofe com7000 = 4017.708333 pofed and publiflied by the Rev. Mr George Brown in 900= 516.5625 1718, under the title yirithxntlica Infinita, and re50= 28.697916 commended by Dr John Keill profeflbr of aftronomy in 6 = 3-44375 the univerfity of Oxford. L. s. d. Thefe tables are ftiil extant, and extend from 1 far4566.412500 = 4566 8 3 thing to 20s.; a fliort fpecimen of which, with their conllru&ion, and the manner of ufing them, we fliall here Examp. 2. How much money will one fpend in a fubjoin. year, or 365 days, at the rate of us. 54-d. per day ? Days. L. Decimal Table of Rates. 1 l. the integer. 30o= 171.875 60= 34.375 5 = 2.864583 L. s. d. d. 209.114583 = 209 2 34 Si Tables of this fort may be framed for a great variety of.ufeful purpofes, and are eafily conftruCted. 0.57083- 0.571875 0.57291$ o 5739583Thus, fuppofe a table wanted for {bowing the daily in1.141^ I-M375 .14583 1.14791(1 come of any annuity, or yearly penfion 5 in this cafe, di1.7125 1.7x5625 .71875 1.721875 vide 1 by 365, and the quot is the income of 11. annuity for one day; and by multiplying this quot through 2.29583 45;2.854i(? 2.283- 2.2875 2.2916 the nine digits, the table is conftrufted as follows. 2-859375 2.864583 2.8697910 6j 3-425 3.43125 3-4375 3-44375 Table. i|.o,o2739726, 7 8-99583' 4.003125 4.010416 4.0177083 2 .0,05479452. 4583' « 14-50 4-575 45 3 .0,08219178, 51 15625 9'5 1375 5.146875 541.0,10958904, The ufe of the table will beft apla the left-hand column Hand the nine digits ; and on pear by examples; which take as 51.0,13698630, the right of 1 are the decimals of the refpedtive rates on follows. 6|.o,16438356, the head. Thus, .5708318 the decimal of 11s. 5 d. I. one pound being the integer ; and .571875 is the deci- If one hasExample 7;.o,19178082, a yearly penfion of mal of ns. 5-^d. 6-c. Thofe decimals oppofite to 1 375 1. what is his daily income ? 8 .0,21917808, being multiplied through the nine digits, make up or 9/0,24657534, compofe the' reft of the table. L. The fuperior excellency of tables thus conftrufted is, 300 .8219 that we multiply or divide by 10, 100, 1000, &c. by 70 .1917 moving the decimal point fo many places to the right or 5 left as there are ciphers in the multiplier or divifor. d. Hence the price or value of any number of yards, or 1.0272 = 1 64 other things, denoted by a Angle digit, or by any of its Example 2. decuples, may be readily found. Thus, the price of 7, 70, 700^7000, 70000, 700000 yards, at u s. 5 d. The yearly rent of a gentleman’s eftate is 968 1. 10 what can he afford to fpend per day ? per yard, is found as follows. L. 900
