a thousand times greater, by placing one, or two, or three cyphers after it; so in decimal arithmetick, the value of any figure or number of figures, decreases, and becomes ten, or a hundred, or a thousand times less, while the denomination of it increases, and becomes so many times greater, by prefixing one, or two, or three cyphers to it; and that any number of cyphers, before an integer, or after a decimal fraction, has no effect in changing their values. Having placed those figures which are equi-distant from the point (as well integers as fractions) under each other, add them as if they were integers. Pts. of hun. tho. >> Pts. of a million EXAMPLES. Add 4.7832 3.2543 7.8251 6.03 2.857 and 3.251 together. Place them thus, 4.7832 3.2543 7.8251 6.03 2.857 3.251 Answer 28.0006 Add 6.2 121.306 .75 2.7 and .0007 together. 121.306 .75 2.7 .0007 Answer 130.9567 What is the sum of 6.57 1.026 .75 146.5 8.7 3.97 and .0271? 526. Answer 693.5431. What is the sum of 4.51 146.071 .507 .0006. 132. 62.71 .507 7.9 and .10712? 1 Answer 354.31272. SUBTRACTION OF DECIMALS. Having placed the figures which are equi-distant from the point, under each other, deduct as if they were integers. EXAMPLES. From 38.765 take .25.3741 25.3741 Answer 13.3909 From 2.4 take .8472 .8472 1.5528 From 71.45 take 8.4837248 Answer 62.9662752. From 84 take 82.3412 Answer 1.6588 MULTIPLICATION OF DECIMALS. 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, bv 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. 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 |
