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
by .14

484

121

Answer .01694

Multiply 121.6 by 2.76

2.76

7296

8512

2432

Multiply .0089789 by 1085
Answer 9.7421065

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
.12).144(1.2

24

Divide 63.72413456922 by 2718
2718)63.72413456922(.02344522979

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
.012)1.728(144

52

48