Page:Encyclopædia Britannica, first edition - Volume I, A-B.pdf/490

 A K I T H M E T I G K. b 2 = k}o8: Examp. Multiply 8.02085 y -7 » w ■ ExAMPi Multiply 6.S# by .f=-J 8.02085 In dividing by 9, after the 72 dividend is exhaufted,' eonti-. 6-8^ nue the divifion-by annexing 7 1604166 to the remainders the repeat56145853 ing figure of the dividend ; 9) 47-88 (: ,3,148, prod, and the quot or product fought 45 •' 99)577.50000(5.85 conies out a mixt circulate. 49s ;• 28 27 825 792 9 330 297 Case VI. When both fadlors circulate. Examp. Multiply .714285, by .36, =£! • 7372 • 7M285. 36 4,285714, Case Ilf. When a repeating multiplier multiplies a 21,428571, circulating multiplicand. 99)25,714285,7 Examp. Multiply 24.36, by .q — % 257142,8 2 1 In multiplying by 4, take 5' 7 >4 in the carriage from the left 2 5.7 »4-36, of the circle; and in dividing 4 by 9, continue the divifion by Prod. .25,974025, = .259740.25 annexing to the remainders 9)97.45,(1°.82, prod, the circulating figures of the The circle of the firft product is always fimilar to that of the multiplicand, and in the above example confifts 9 dividend. of fix places; but to fecure the carriage from right to left, and thereby complete the circle of the quot or to* 74 tal produft, transfer 7, the left-hand figure of the circle of the firft. produft, to the right, and fill up the places under it with the figures that come in courfe, and from the fum of thefe figures on the right carry 2, which completes the circle of the total produdt. ■ VI. Divijion of Decimals. Case IV. When a circulate multiplies a finite mulBefore we enter on divifion, it will be proper toobtiplicand. ferve, that there are two rules for pointing the quot, Examp. Multiply 825 by .36, both which are general in their nature, and extend to decimals of every fort, whether terminate or intermi825 nate ; but unwilling to perplex the learner with too ma36 ny things at once, we fliall at prefent lay down only one 4950 of thefe rules ; and afterwards, when the rule now to be affigned appears to be fufficiently exemplified, {hall then 2475 bring the other rule upon the field.99)29700(300 produft General Rule. 297 The decimal .places in the divifor and quot together mufl: always be equal in number to thofe of the diviCase V. When a circulate multiplies a repeating dend. multiplicand. The
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