the decimal places in the quotient and divisor taken together shall equal the decimal places in the dividend. 3. Divide 2,17 by 7. 4. Divide,217 by,7. 5. Divide,217 by 7. 6. Divide one hundred and seventeen and nine tenths by nine tenths. Answer, 13,1. 7. Divide four hundred fifty-six and three hundred thirtythree thousandths by three hundredths. 8. If three hundred fifty pounds of beef cost twelve dollars twenty-five hundredths, what cost one pound? Answer, ,035. 9. If 565,05 pounds cost 25,42725 dollars, what will one pound cost? Ans. ,045. FEDERAL MONEY. FEDERAL MONEY is the coin of the United States; its denominations are eagles, dollars, dimes, cents and mills. From the above examples and illustrations in decimal fractions, we have seen that a decimal is the division of the unit into tens, and that from the unit's place towards the right hand it decreases in a tenfold proportion. If we examine the denominations of Federal Money, we shall find that all bear a decimal relation to the dollar, which is considered the unit. This will be seen by the following TABLE. 10 Mills 1 Cent. 10 Cents =1 Dime. 10 Dimes 1 Dollar. 10 Dollars 1 Eagle. NOTE. The eagle is a gold coin, the dollar and dime are silver coins, the cent is a copper coin. The mill is only imaginary, there being no coin of that denomination. QUESTIONS. What is Federal Money? Its denominations? The dime being 1 tenth of a dollar, it occupies the first, or right hand place from the dollar-thus, 0,1. The cent, being 1 tenth of a dime, and consequently 1 hundredth of a dollar, occupies the second place, or place of hundredths -thus, 0,01. The mill, being 1 tenth of a cent, and consequently 1 thousandth of a dollar, occupies the third place, or place of thousandths-thus, 0,001. Placing them d. d. c. m. together, 1 1 1 1. This may be read one dollar, one dime, one cent and one mill; or, one dollar, eleven cents and one mill-as eleven cents is equal to one dime and one cent. The same may be said of eagles and dollars-thus, 25 dollars may be read 2 eagles and 5 dollars, since 20 dollars are equal to 2 eagles. Write 4 eagles, 5 dollars, '8 E. D. D. C. M. dimes, 3 cents, 5 mills-4 58 3 5. This may be read 4 eagles, 5 dollars, 8 dimes, 3 cents and 5 mills; or, 45 dollars, 83 cents and 5 mills. Hence, it is evident that the denominations in Federal Money are dollars and decimals of a dollar, and may be treated as Decimal Fractions. Federal Money is denoted by this character $ placed before the figure. ADDITION OF FEDERAL MONEY. RULE. Write the denominations, and point the result as in Addition of Decimals. EXAMPLES. 1. If I buy a bushel of wheat for $2,25—a bushel of corn for $1,32-four yards of cloth for $14,28,5; how much do I pay for the whole? 2,25 1,32 14,28,5 $17,85,5 Ans. 2. Bought 8 yards of cloth for $16,25 cents-a pair of shoes for 87 cents—a hat for $4,33—a whip for ,42 cents -a knife for ,37 cents; how much did I pay for the whole? Ans. $22,25,5. 3. Bought a cart for $17,62-a wagon $62-a plough $7,48 cents-4 rakes $1,26-3 hoes $2,15-a pitch-fork ,87 cents; how much did the whole cost? Ans. $91,88. 4. Purchased a barrel of flour for $9,25-4 pounds of tea $2,08-2 gallons of molasses ,64 cents-3 pounds of raisins,37 cents-9 pounds of sugar $1,22 cents-8 yards of calico $2,23 cents; what is the amount of the whole? Ans. $15,80,5. 5. Add forty dollars, sixty-seven cents and three mills; six hundred seventy-nine dollars, twenty-five cents and seven mills; one thousand and four dollars, five cents and five mills; nine hundred ninety-nine dollars, thirty-nine cents and nine mills? Ans. $2723,38,4. SUBTRACTION OF FEDERAL MONEY. RULE. Write the numbers, and point the result as in Subtraction of Decimals. EXAMPLES. 1. A man bought 50 bushels of wheat for $125,50—sold it for $145,75; how much did he gain? Ans. $20,25. 2. Bought 26 bushels of oats for $8,49-sold the same for $8,94; how much did I 'gain? Ans. $0,45. 3. Purchased a horse for $92-lost on the sale of him $15,25; for how much did I sell him? Ans. $76,75. 4. Bought 2 barrels of flour for $22,50-but, it being damaged, I am willing to sell it at $4,25 less; what must I receive for it? Ans. $18,25. 5. Bought 8 yards of cloth for $36-gave a $50 bill; what must I receive in change? Ans. $14. Ans. $332,99,9. 6. Subtract 1 mill from $333. 8. Bought a wood lot for $879-sold the same for $1000,81; how much did I gain? 9. If a man's wages in a year amount to $1434, and he spends $928,45, how much does he save at the end of the year? 10. How much must be added to $32,50 to make $1000? MULTIPLICATION OF FEDERAL MONEY. RULE. Write the numbers, and point the product as in Multiplication of Decimals. EXAMPLES. 1. How much will six pairs of shoes cost at $1,371 a pair? Answer, $8,25. Operation. 1,37,5 $8,25,0 It will be seen that the operation is the same as in simple numbers. The product will always be in the lowest denomination of the given sum, until distinguished by points. 2. What will 9 sheep cost at $3,75 each? $33,75. 3. How much must be paid for 45 bushels of corn, at $1,37 per bushel? 4. What will 38 pounds of sugar cost at 131 cts. per pound? $5,13. 5. What will 3 doz. hats cost at $4,75 each? $171. 6. What will 75 doz. eggs cost at 15 cents a dozen? Answer, $11,62,5. 7. How much will a man spend in a year, if he spend 12 cents a day? 8. What will 55 yards of broadcloth cost at $3,871 per yard? DIVISION OF FEDERAL MONEY. RULE. Write the numbers, and point the quotient as in Division of Decimals. EXAMPLES. 1. Bought 8 bushels of wheat for $17,92. How much was it per bushel? 2. Bought 9 pounds of tea for $3,37. What was it per pound? Answer, $2,24. Operation. 9)3,37,5. 3. Bought tea to the amount of $3,371, per pound. What quantity did I buy? ,37,5 Ans. 4. Bought 14 bushels of corn for $21,75. How much was it per bushel? 5. If a man pay $38,43,7 for 20 much was it per cask? 6. Bought 6 yoke of oxen for $450. each ox? Answer, $1,50. casks of lime, how Answer, $1,872. What was paid for Answer, $37,50. SUPPLEMENT TO DECIMAL FRACTIONS AND FEDERAL MONEY. 1. Purchased 49,5 pounds of butter of A, at 123 cents per pound; 37,51 pounds of B, at 183 cents per pound; 155,05 pounds of C, at 20 cents per pound. How many pounds did I buy, and what was the cost of the whole? Answer,242,06 pounds. 2. When butter is worth 18 cents 4 mills per pound, how many pounds can be bought for $671,60? Answer, 365 pounds. 3. At 9 mills per yard, how many yards of tape can be bought for 45 dollars, 81 cents, 9 mills? 5091 yards. 4. If 5091 yards of tape be worth $45,81,9, what is 1 yard worth? Answer, 9 mills. 5. What will 629,21 feet of boards cost at $20,18 per thousand? 6. If 40 yards of broadcloth cost $375, what cost 1 yard? Answer, $9,37,5. 7. What will 36 bushels 9 tenths of corn amount to, at 1 dollar 5 tenths per bushel? Answer, $55,35. 8. If corn be worth 3 and 5 tenths as much as potatoes, which are worth 25 hundredths of a dollar per bushel, and rye 5 tenths more than corn, and wheat 2 and 4 tenths more than rye, what is the value of wheat? $3,15. 9. Bought 4 cords of wood for $12,28; 15 pounds of beef for $1,25. How much do I pay for the whole, and how much more for the wood than for the beef? 10. How much must be paid for 361 bushels of peas, at $2,872 cents per bushel ? Answer, $104,93,7. 11. Bought 28 bushels of potatoes, at 28 cents a bushel 45 bushels of apples, at $1,12 per bushel. How much |