Because the number of decimal figures in the divisor and dividend, are alike, the quotient will be integers. Divide 2.00000 by 3.1416 3.1416)2.00000(.636618 115040 207920 194240 57440 260240 8912 There being 4 decimal figures in the divisor, 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. Answer .001296. Divide 66.993548 by 27.4. Answer 2.44502. 3 PROB. I. To reduce a Vulgar Fraction to a decimal one of the same Value. Having annexed a sufficient number of cyphers as decimals, to the numerator of the vulgar fraction, divide by the denominator; and the quotient thence arising, will be the decimal fraction required. For of one shilling, yard, perch, &c. is equal to one fourth of three shillings, yards, perches, &c. therefore if 3 be divided by 4, the quotient will be the answer. PROB. II. To find the Value of a decimal Fraction, in the known Parts of the Integer. Multiply the decimal proposed into the number of equal parts contained in the integer, and the product will be the number of such parts as are expressed by by the fraction. What is the value of .25 of a pound sterling? 20 Answer shillings 5.00 1 For .25 or 25% 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? / 20 Shillings 7.700 Pence 8.400 4 Farthings 1.600 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? 12 Pence 34.368 4 Farthings 1.7472 What is the value of .287 of a pound weight troy? Oz. dwt. gr. Answer 3 8 21 What is the value of .2945 of a pound avoirdu. poise? Oz. dwts. Answer 4 11. THE EXTRACTION OF THE SQUARE ROOT. A SQUARE number is the product of a number multiplied by itself; and the number so 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, observe 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 said root be made a divisor to all the figures of that last remainder, except the last; put the quotient thereof with the root, or former quotient; and having multiplied it into the numbers so formed, deduct the product from the foregoing figures or resolvend; and in like manner proceed, till all the figures of the given square are exhausted. If there be any decimals in the given square, their number must be even, or made so, 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. EXAMPLES. 1 1. What is the square root of this square number, 298116? |