| XXX | (409) | XXX |
A RITHMETI C K. 409 The five following pradlicai dire&ions will make the caufe there are two decimal j>laces ie divifor, and the quot comes out an integer, according to Diredtion 3, application of the general rule eafy. 1. When the divifor and dividend have an equal num- In Ex. 4. An integer divides a decimal ; and becaufe ber of decimal places, the quot comes out an integer ; as the dividend has three decimal places, and the divifor none, give the quot three, by Diredtion 2. in Ex. 2. 2. When the decimal places of the dividend are more Ex. 6. than thofe of the divifor, the number of decimal places 2.5).2287s(.09iy in the quot mull be equal to the excefs ; as in Ex. i. 22; 4. and 8. 3. When the decimal places of the divifor are more 37 than thofe of the dividend, annex ciphers to the dividend, 25 fo as to make them equal, and the quot, by diredtion 1. will be integers; as in Ex. 3. y. and 7. 125 4. When, after divifion is finilhed, the quot has not i2y fo many figures, as, by the general rule, it ou^ht to In Ex. y. A decimal divides a mixt number; and the have decimal places, fupply that defedt by prefixing ci- divifor having three decimal places, and the dividend but phers ; as in Ex. 6. y. If, after the dividend is exhaufted, there be a re- two, fupply that defedt by annexing a cipher, and the mainder, annex a cipher, or ciphers, to the remainder, quot comes out an integer, by Diredtion 3. In Ex. 6. A mixt number divides a decimal; and beand continue the divifion till o remain, or till the quot caufe the dividend has four decimal places more than repeat or circulate, or till you think proper to limit it; as in Ex. 9. 10. 11. and 12. the divifor, and the quot, after tire divfion is finilhed, has only three figures, fupply this defedt by prefixing a We now proceed to divifion. Rule I. If the divifor and dividend are both finite cipher to it, according to Diredtion 4. or approximate, work exadtly as in divifion of integers. Ex. 7. Ex. 8. Ex. 1, 3-75)j8o( 38)243.2(6.4 •75).f887s(.785 3-75)i8o.oo(48 228
52J’• 1 yoo * i 1 52 637 3000 i52 (loo 3000 In Ex- 7. A mixt number divides an integer; and the 375 dividend having no decimal places, fupply that defedt by 375 annexing two ciphers, the number of decimal places in In Ex. 1. A decimal divides a decimal; and becaufe the divifor, and the quot is an integer, by Diredtion 3. the dividend has five decimal places, and the divifor onEx. 8. An integer divides a mixt number; and ly two, give three decimal places to the quot, accord- theIndivifor having no decimal place, and the dividend ing to Dire&ion 2. In Ex. 2. A mixt number divides a mixt number, only one, give one to the quot, according to Direcand the divifor and dividend having an equal number of tion 2. Er. 9. Ex. 10. decimal places, the quot comes out an integer, accord.8)29(36.25 .0lS).0024(.I3’ ing to Diredtion 1. 18 The reafon of the rule for pointing the quot is ob24 vious ; for multiplication gives as many decimal places 60 to the produdt as are in both fadtors; but ihe dividend is 5° 48 the produdt of fhe divifor and quot, and fo has as many 54 decimal places as are in both ; confequently the decimal places in the divifor and quot together mull be equal in number to thofe of*the dividend. Ex. 4. 40 7)-875(-l25 40 7** In Ex. 9. A decimal divides an integer; and after 17 the dividend is exhaufted, annex a cipher to the remain14 der, and continue the divifion till o remain, according to Diredtion y. In Ex. 10. A decimal divides a decimal; and after 35 ' the dividend is exhaufted, annex a cipher to the re° . 35 In Ex. 3. A decimal divides an integer ; and the di- mainder, and continue the divifion till you find the quot vidend having no decimal place, annex two ciphers, be- repeats. Vol. I. No. 18. 3 5L Ex.
