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MULTIPLICATION OF FEDERAL MONEY.

RULE. § 67. Multiply as in simple numbers, and the product will be the answer sought in the lowest denomination mentioned in the given sum; then reduce the product to dollars and cents.

Ex. 1. Multiply 375 dollars, 28 cents, and 2 mills,

by 8.

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$375, 28, 2

8
Product $3002, 25, 6
(2.)

(3.)
$3,00,4 $89, 07,9
12

7
$36, 04,8 $623, 55, 3

(4.)
$81, 99, 2

6
$491, 95,2

APPLICATIONS.

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1. What will 55 yards of cloth come to at 37 cents per yard ?

Ans. $20, 35. 2. What will 300 bushels of wheat come to at $1,25 per bushel ?

Ans. $375. 3. What will 85 pounds of tea come to at 1 dollar 37} cents per pound?

In this example we first consider 1,37,5 that ļ of a cent is equal to 5 mills.

85 Then as 1,37,5 contains more figures

6875 than 85, we multiply by the 85, know

11000 ing that the product will be the same which ever number be made the mul.

116875 tiplier, Ø 30. The product 116875 Ans. $116,87,5 is in mills which is reduced to dollars and cents as

1

befo

4. What will a firkin of butter containing 90 pounds come to at 254 cents per pound?

Ans. $22,95. 5. What is the cost of a cask of wine containing 29 gallons, at 2 dollars and 75 cents per gallon?

Ans. $79,75. 6. A bale of cloths contains 95 pieces costing 40 dollars 37} cents each: what is the cost of the whole bale ?

Ans. $3835,62,5. 7. What is the value of 300 hats at 3 dollars and 25 cents a piece ?

Ans. $975. 8. What is the value of 9704 oranges at 3} cents each ?

Ans. $339,64. 9. What will be the cost of 356 sheep at 37 dola lars a head ?

Ans. $1157. 10. What will be the cost of 47 barrels of apples at 14 dollars per barrel ?

Ans. $82, 25.

DIVISION OF FEDERAL MONEY. $ 68. To divide a sum expressed in dollars, cents, and mills, by a simple number.

RULE. 1. If the number to be divided contains dollars, cents, and mills, divide as in simple numbers, and separate the quotient into dollars, cents, and mills.

II. But if the number to be divided contains only dollars, or dollars and cents, bring it to mills by annering ciphers: then dinide as in simple numbers. and separate the quotient as before.

EXAMPLES.

1. Divide $4, 62, 4 by 4; also 87, 25, 6 by 5. 4) $4, 62,4

5) $87, 25, 6 $1,15, 6

$17,45, 1} 2. Divide $37 by 8. In this example we first reduce

8) $37,00,0 the $37 to mills by annexing three ciphers. The quotient will then be

$ 4,62,5 mills, and can be reduced to dollars and cents, as before. 3. Divide $56, 17 by 16.

16)$56, 17,0($3,51,1%

48 In this example we find the quotient to be 3 dollars 51 81 cents, and a remainder of 10

80 mills, which being divided by 17 16 gives 18 of a mill.

16

10 $ 69. The answer is always sufficiently exact when it is true within 1 mill, and therefore the remainder in mills may always be neglected. Indeed, in common business, the answer is sufficiently accụrate, when within a cent, and the mills are generally omitted, the sign + being written after the answer to denote that the division might be still continued. 4. Divide $495, 70, 4 by 129.

Ans. $3, 84, +1

2

QUESTIONS. $ 60. What is the currency of the United States ? What are its denominations ? What are the coins of the United States ? Which gold, which silver, which copper? What do you 11 and by gold 20 carats fine ? Repeat the table for F

9 61. How many units of either denomination make one of the next higher? How do simple numbers increase from the right to the left? How may Federal Money bu added, subtracted, multiplied and divided ? In numerating Federal Money what is the first figure on the right called ? the se. cond ? third ? fourth ? &c.

$ 62. How is Federal Money generally read ?

8 63. How do you change cents into mills ? How do you change dollars into cents ? dollars into mills ?

$ 64. How do you change milļs into dollars, cents, and maills ? $ 65. How do you add Federal Money ?

66. How do you subtract Federal Money?

67. How do you multiply Federal Money? $ 68. How do you divide Federal Money ?

§ 69. When is the answer sufficiently exact? How do you express that the division might be continued ?

APPLICATIONS. 1. A man bought a piece of cloth containing 72 yards, for which he paid $252 : what did he pay per yard ?

Ans. $3,50. 2. If $600 be divided equally among 26 persons, what will be each one's share ?

Ans. $23,07, +. 3. Divide $18000 into 40 equal parts : what is the value of each part.?

Ans. $450. 4. Divide $3769, 25 into 50° equal parts : what is one part ?

Ans. $75, 38+. 5. A farmer purchased a farm containing 725 acres, for which he paid $18306,25 : 'what did it cost him per acre ?

Ans. $25, 25. 6. A merchant buys 15 bales of goods at auction, for which he pays $1000: what do they cost him per bale?

Ans. $66, 66, 6 +.

7. A drover pays $1250 for 500 sheep : what shall he sell them for a piece, that he may neither make nor lose by the bargain?

Ans. $2,50. 8. The dairy of a farmer produces $600, and he has 25 cows : how much does he make by each cow?

Ans. $24. 9. A farmer receives $840 for the wool of 1400 sheep: how much does each sheep produce him?

Ans. $0, 60.

APPLICATIONS IN THE FOUR PRECEDING

RULES.

1. A farmer sold a yoke of oxen for $80,75; 6 cows for $29 each ; 30 sheep at $2,50 a head; and 3 colts, one for $25, the other two for $30 a piece : what did he receive for the whole lot ?

Ans. $414,75. 2. A merchant buys 6 bales of goods, each con. taining 20 pieces of broadcloth, and each piece of broadcloth contained twenty-nine yards; the whole cost him $15660: how many yards of cloth did he purchase, and how much did it cost him per yard?

Ans. { $4,50 per yard.

. 3. A man dies leaving an estate of $33000 to be equally divided among his 4 children, after his wife shall have taken her third. What was the wife's portion, and what the part of each child?

$11000 wile's part.

$5.500 each child's part. 4. A person sellis 3 cows at $25 each; and a poke of oxen for $05; he agrees to take in payment 60 cep: how much do his sheep cost him per head?

Ars. $2, 33, 3+. merson settling with his butcher, finds that

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