EXAMPLE S. Divide 63.72413456922 by 2718. 9364 12101 12293 14214 6245 8096 26609 21472 24462 Answer .02344522979 There being II decimal Figures in the Dividend, and none in the Divifor, 11 Figures are to be cut off in the Quotient; but as the Quotient itself confifts of but 10 Figures, we prefix to them a Cypher to compleat that Number. Divide 1.728 by .012 .012)1.728(144 52 48 Because Because the Number of decimal Figures in the Divifor and Dividend, are alike, the Quotient will be Integers. Divide 2.00000 by 3.1416 115040 207920 194240 57440 260240 8912 There being 4 decimal Figures in the Divifor, and 10 including the Cyphers brought down in the Dividend, the Difference, which is 6 Figures, to be cut off in the Quotient. Divide 87446071 by .004387. Answer 199.33. Divide .624672 by 482. Anfwer .001296. Divide 66.993548 by 27.4. Anfwer 2.44502. PROB. I. To Reduce a Vulgar Fraction to a Decimal one of the fame Value. Having annexed a fufficient Number of Cyphers as Decimals, to the Numerator of the Vulgar Fraction, divide by the Denominator; and the Quotient thence arifing, will be the decimal Fraction required. EXAM EXAMPLES. Reduce to a Decimal Fraction. 20 For of one Shilling, Yard, Perch, &c. is equal 34 to one Fourth of three Shillings, Yards, Perches, &c. therefore if three be divided by 4, the Quotient will be the Answer. Reduce to a Decimal Fraction. To find the Value of a Decimal Fraction, in the known Parts of the Integer. Multiply the Decimal propofed into the Number of equal Parts contained in the Integer, and the Product will be the Number of fuch Parts as are expreffed by the Fraction. What is the Value of .25 of a Pound Sterling? 20 Anfwer Shillings 5.00 C For 25 For 25 or 2% of one Pound, is equal to the one hundredth Part of 25 Pounds, or of the Shillings in 25 Pounds, which are 500; therefore the one hundredth Part thereof will be 5 Shillings; which is effected by cutting off the two Cyphers, for the two Decimals, by a Point. What is the Value of .385 of a Pound Sterling? What is the Value of .48 of a Chain of 50 Links? 50 Answer Links 24.00 What is the Value of .2864 of a Shilling? I 2 Pence 3.4368 4 Farthings 1.7472 What is the Value of .287 of a Pound Weight Troy? Oz. dwt. grs. Answer 3. 8. 21. What What is the Value of .2945 of a Pound Avoir A Square Number is the Product of a Number multiplied by itself; and the Number fo multiplied is called the Root of that Square; thus 9 is the Square of 3, and 3 is the Root of 9, for 3 multiplied by 3 is 9. If a Square Number be given to find its Root, obferve if the Number of Figures or Places in the given Square be odd or even, if they be odd, find the Root of the first Figure, but if they be even, of the two first, under which place the Square of that Root, and deduct, placing the Root in the Quotient, and bring down two Figures to the Remainder. Let the Double of the faid Root be made a Divifor to all the Figures of that laft Remainder, except the laft, put the Quotient thereof with the Root, or former Quotient; and having multipled it into the Numbers fo formed, deduct the Product from the foregoing Figures or Refolvend: And in like Manner proceed, 'till all the Figures of the given Square are exhaufted. If there be any Decimals in the given Square, their Number must be even or made fo, before we begin to find the Root, by adding a Cypher to the right Hand, and for every two Places of Decimals in the Square, let one be cut off in the Root. C 2 EXAM |
