EXAMPLES. Add 4.7832 3.2543 7.8251 6.03 2.857 and 3.251 together. Place them thus, What is the sum of 6.57 1.026 .75 146.5 8.7 526. 3.97 and .0271? Answer 693.5431. What is the sum of 4.51 146.071 .507 .0006. 132. 62.71 .507 7.9 and .10712? SUBTRACTION OF DECIMALS. Having placed the figures which are equi-distant from the point, under each other, deduct as if they were integers. Place the multiplicand and multiplier, after any manner under each other; and having multiplied as in whole numbers, cut off as many places of decimals in the product, counting from the right hand towards the left, as there are in the multiplicand and multiplier; but if there be not a sufficient number of places in the product, the defect may be supplied, by prefixing cyphers thereto. For the denominator of the product, being an unit, prefixed to as many cyphers, as the denominators of the multiplier and multiplicand contain of cyphers, it follows that the places of decimals in the product will be as many as in the numbers from whence it arose. EXAMPLES. Multiply 48.765 by .003609 .008609 438885 292590 146295 Answer .175992885 Multiply .121 484 121 Answer .01694 Multiply 121.6 by 2.76 2.76 7296 8512 2432 Multiply .0089789 by 1085 Multiply .248723 by .13587 Answer .03379399401 DIVISION OF DECIMALS. Having divided as in whole numbers, annexing cyphers to the dividend if they be wanted; the decimal places in the divisor and quotient must be equal to those in the dividend, and the defect supplied by prefixing cyphers to the quotient. For the dividend is a product, contained under the divisor and quotient; and that product contains as many places of decimals as the numbers do from whence it arose; therefore, the difference between the number of decimals in the dividend and divisor, must be cut off in the quotient. EXAMPLES. Divide .144 by .12 24 Divide 63.72413456922 by 2718 9364 12101 12293 14214 6245 8096 26609 21472 24462 Answer .02344522979 There being 11 decimal figures in the dividend, and none in the divisor, 11 figures are to be cut off in the quotient; but as the quotient itself consists of but 10 figures, we prefix to them a cypher to complete that number. Divide 1.728 by .012 52 48 |