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 413 ARITHM ETIC K. Ex. 1. Ex. 2. ber will give a tjuot 125 times greater than the dividend; that is, the quot will be equal to the produft of the di- 7)3-37°»(-48m8i, ♦5)3-7>592>(7-5i2,5 28 *• vidend multiplied by 12J. 3'5 Prob. II. From a given divifor to find a multiplier 3,7,592, proof. that gives a product equal to the quot. 57 56 Rule. Divide an unit with ciphers annexed by the given divifor, and the quot will be the multiplier fought. Examp. What multiplier will give a produtt equal to the quot arifing from the fame number divided by .008 ? 42 Given divifor .008)1.000(125 multiplier fought. 2833 40 8** 57 56 40 40 Now, if any number be multiplied by 125, and the fame number be divided by .008, the product and quot Rule IV. If the divifor be interminate, reduce it to will be equal; as appears in the example following. a vulgar fraction, as taught in reduction of decimals, .008)785.000(98125 quot. Prob. V.; then multiply the given dividend by the de785 nominator, and divide the produdt by the numerator. 125 72 Here there are fix cafes; for the divifor may either 2 repeat or circulate, and may divide a finite, a repeating, 39 5 65 or circulating dividend. 1570 64 Case I. When a repeating divifor divides a finite 785 dividend. Examp. Divide 23.5 by .4’=^ 98125 produdt 9 4)211.5(52.875 40 40 Rule II. If a finite divifor divide a repeating dividend, work as in integers; but in continuing the divifion, inftead of annexing ciphers to the remainder, annex 35 the repeating figure of the dividend. 32 Ex. 1. Ex. 2. 4)5.1^(1.291^ 5)-3-3(-°0 30 4 36 36 6 4 26 24 Rule III. If a finite divifor divide a circulating dividend, work as in integers; but in continuing the divifion, inllead of annexing ciphers to the remainder, annex the circulating figures of the dividend. Voi. 1. No. 18. 3
 * 5

Case II. When a repeating divifor divides a repeat' ing dividend. Examp. Divide 43.2$ by .3' = ^ 43.2^ 9 Or rather thus : 432.06 43-20 3)389.40(129.8 29 27 24 24

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Case III.