6. Subtract five hundred twenty-five thousandths from two hundred fifteen. ANS. 214.475. 7. Take three, and seven tenths, from six, and nine hundredths. ANS. 2.39. 8. From a board 25. 873 feet in length, a carpenter cut off a piece which measured 9.876 feet; how much remained? ANS. 15.997 feet. 9. From a farm containing 25 acres, a farmer sold three tenths of an acre more than one half of the whole, how much had he left? ANS. 12.2.

SECTION V.

Multiplication of Decimals.

Multiply as in whole numbers; and from the right of the product separate as many decimals as are equal to the decimals in both factors.

1. Multiply five tenths by four tenths.

2. Multiply eight and seven tenths by nine and eight tenths. ANS. 85.26. 3. Multiply two and fifteen hundredths by one and three tenths. ANS. 2.795.

If there are not as many figures in the product as are equal to the decimals in both factors, supply the deficiency by prefixing zeros.

4. Multiply four tenths by fourteen hundredths.

4 X .14 .56. as there are three decimals in the two

=

factors, the product must contain three also. A zero must be prefixed to the product. ANS. .056.

5. At three cents per foot, how much will 387.51 feet of boards come to?

One cent is one hundredth of a dollar; three cents are three hundredths of a dollar =.03. ANS. $11.6253. 6. What is the cost of painting a room containing 258.72 square yards, at 12 cents per yard?

ANS. $32.34. 7. What will be the expense of glazing 54 windows, each having 12 lights, at .125 of a dollar per light? ANS. 81 do.lars.

SECTION VI.

Division of Decimals.

Divide as in whole numbers, and from the right of the quotient separate as many decimals, as the uumber of decimals in the dividend exceed those in the divisor. If the quotient does not contain the requisite number of figures, supply the deficiency by prefixing zeros,

1. Divide 18.25 by 5. 2. Divide 3.75 by 3.

3. Divide 264.75 by 2.5.

ANS. 3.65.

ANS. 1.25.

ANS. 10 .9.

4. If 2.25 yards of cloth will make a coat, how many coats may be made from twenty-seven yards?

ANS. 12 coats.

If the number of decimals in the divisor and divi

dend are equal, the quotient is a whole number. 5. Divide 83.2 by 9.8.

6. How many thousands of boards at 7 thousand, can be bought for $385.75 cents?

ANS. 9.

dollars per

ANS. 54,

7. At

cents per foot, how many fect of mahogany

can be bought for eighteen dollars 27 cents?

ANS. 215 feet.

8. How many square yards of painting at 84 cents per yard can be done for $15.264 ? ANS. 185 yds.

9. How many feet of timber at $0.205 per foot, may be bought for 37 dollars 72 cents? ANS. 184 feet.

CHAPTER IV.

DUODECIMALS.

Arithmetical operations upon Feet, Inches, and Twelfths are called Duodecimals; because the denominators increase in a twelvefold ratio.

SECTION I.

Addition of Duodecimals.

Add as in whole numbers, and divide the sum of each denomination, except feet, by 12.

1. Add together 3 feet 6 inches; 4 feet 3 inches, and 6 feet 4 inches,

The fractions of inches may be added by changing them to fourths.

2. What number of feet the first measuring 24 feet 4 8 inches; the third 19 feet 6 feet 7 inches?

are there in four boards, inches; the second 21 feet inches; and the fourth 25 ANS. 91 feet 3 inches.

3. How many feet are there in 152 feet, 24 feet 6 inches, 133 feet, and 56 feet 9 inches? ANS. 110 feet.

4. How many feet are 25 feet, 72 feet 63 inches, 90 feet 6 inches, 100 feet inches, and 35g feet? ANS. 324 feet.

SECTION II.

Subtraction of Duodecimals.

Subtract as in whole numbers.

If a number be less

than the one below it, increase it by 12; then diminish

the next upper number by 1.

2. Subtract 7 feet 9 inches, from 10 feet 8 inches.

ANS. 2 feet 10 inches.

inches in length, a carinches, how much remainANS. 30 feet 915 in. between 37. yards 23 feet,

Ans. 76 feet 61 in. inches in length, a piece.

5. From a board 28 feet 9 was cut off measuring 18 feet, how long was the part left? Ans. 15 feet inch.

6. From a mast 205 feet long, a part was broken off; the remaining part measured 35 yards, what was the length of the broken piece? and what part of the whole mast was it? ANS. 972 feet. 2 of the whole.

SECTION III.

Multiplication of Duodecimals.

Multiply as in whole numbers; and divide the product of each denomination by 12; exc.pt in multiplying feet by feet; then add the several products.