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2. Divide 483.125 by 386.5. 3. Divide 207.6032 by 8.96. 4. Divide 99.99 by 33.3.

5. Divide 65.8952 by 18.275. 6. Divide 1.9404 by 1.47.

Ans. 1.25.
Ans. 23.17.

Ans. 3.0027+.

Ans. 3.605+.

Ans. 1.32.

In dividing, if a remainder be finally left, the quotient is marked +, implying more. (See 4th sum.)

§ 90.-To divide a decimal by 10, 100, 1000, &c.

RULE.

Remove the decimal point as many places to the left as there are ciphers in the divisor.

1. Divide 30515.50 by 100.
2. Divide 36.5 by 10.
3. Divide 36.10 by 100.
4. Divide 981 by 1000.

Ans. 305.1550.

Ans. 3.65.

Ans. .365.

Ans. .981.

5. If 36.34 bushels of corn grow on one acre, how many acres will produce 674 bushels?

Ans. 18.547+ acres.

6. If 6 yards of cloth cost 24.48 dollars, what was the Ans. 4.08 dollars.

price of one yard?

7. Bought 56.87 yards for 131.3697 dollars; what was the price of 1 yard? Ans. 2.31 dollars.

8. If 9.6 yards cost 61.632 dollars, what was the value of a yard ? Ans. 6.42 dollars. 9. If 7.5 tons of hay cost 112.5 dollars, what is the price of a ton? 10. Bought 17.5 acres of land for 148.75 dollars; what Ans. 8.50 dollars.

was the price of one acre ?

Ans. 15 dollars.

11. Bought 15.5 pounds of beef for 1.24 dollars; what was the price of a single pound?

Ans. .08 dollar.

12. Bought 72.4 yards of tape for 2.172 dollars; what was the price of a yard ? Ans. .03 dollar.

90. How divide by 10, 100, 1000, &c.

2 E

FEDERAL MONEY.

§ 91.-Federal money is the currency of the United States.

Its denominations are, mills, cents, dimes, dollars, and eagles. These are the regular denominations, and, like simple numbers, increase in a tenfold ratio. The following table gives the ratio and relative value of these denominations:

TABLE OF FEDERAL MONEY.

10 mills (marked m.) make 1 cent,

10 cents

10 dimes

10 dollars

marked ct.

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These are the regular coins of the United States. They increase in a tenfold ratio. The other coins, such as the 25 cent piece, the quarter, half, and double eagle, are only parts or repetitions of these. These coins are of three kinds, differing from each other as to their value and the metal from which they are manufactured.

The least valuable are the cent and half cent, which are composed of copper. Mills have never been coined, and are merely nominal. The next in value are the silver coins, viz. the 5 cent piece, or half dime; the 10 cent piece, or dime; the 25 cent piece, or quarter of the dollar; the half dollar; and the dollar. The most valuable are the gold coins. These are the gold dollar, the quarter eagle, the half eagle, the eagle, and the double eagle. These are the only coins authorized by our government. Their values are:

91. What is Federal money ? What are its denominations? How increase? Recite the table. What coins not in the table? What are they? How many kinds of coin? How differing? What are the least valuable coins? Composed of what? Are mills coined? What are the silver coins? What are the most valuable coins? Name them?

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The 61 and 121 cent pieces, are not American coins; ther are a large portion of the pieces that pass for the quarter of a dollar. The American quarters are stamped with the American eagle.

The gold and silver coins are not composed of pure metal, but are alloys; that is, these metals are compounded with the baser metals. The purity of a metal is expressed by the word carat: a word indicative of a twenty-fourth part of a metal. For instance, if a metal is said to be 21 carats fine, the meaning is, that 21 twenty-fourth parts are pure metal, and 3 twenty-fourth parts are of a less valuable metal.

The alloy for gold is a mixture of silver and copper the alloy for silver is pure copper.

The denominations of Federal Money increase and de crease in precisely the same ratio as simple numbers and decimals; that is, in a tenfold ratio. They are consequently added, subtracted, multiplied, and divided by the same rules.

The dollar is regarded as the unit, or integral object in Federal money, and is, therefore, the point at which numeration cornmences.

As we advance from this point towards the left, the denominations increase constantly in the ratio of ten; while those to the right of this point, decrease uniformly in the same ratio; that is, the first denomination on the right of

Name all the gold coins-the silver coins-the copper coins. What are the 6 and 12 cents? Many quarter dollars? The Amer ican quarters, how stamped? Are gold and silver coins pure metal? What are they? What is an alloy? How express the purity of a metal? Meaning of the word carat? Illustrate? What is the alloy for gold?-for silver? The denominations of Federal money, how increase? How added, &c.? What is the unit of Federal money? Where does numeration commence? How increase, advancing to the left?

dollars, is dimes or tenths of dollars; the second, cents or hundredths of dollars; the third, mills or thousandths of dollars, &c.

Hence our computations in money are all based on the decimal system-a system increasing and decreasing through all its denominations in the uniform ratio of 10.

The dimes, cents, &c. of any number indicating Federal money, are marked by the period or decimal point, the same as in decimal numbers; that is, the first place on the right of the point is dimes; the second, cents; the third, mills, &c.; while on the left of that point, dollars stand first; eagles or tens of dollars, second; and so onward.

In reading any decimal number indicating Federal money, the terms, dollars, cents, and mills, are generally used; those of eagles and dimes, being seldom employed. Thus in reading $36.27, instead of saying, 3 eagles, 6 dollars, 2 dimes, and 7 cents, we say 36 dollars and 27 cents.

It will be remembered that Federal money is always designated by the character, $.

Read the following sums of Federal money, viz.: $3.78; $29.06; $303.639; $73.086; $136.136; $208.129; $33.333; $55.884; $72.198; $67.493; $128.388; $1962.481; $0.798; $13.318; $66.999; $83.38; $9.006; $1.108; $3.07; $860.46; $569.336; $28.963; $17.177.

Notice carefully the following facts. 1st. Cents are reduced to mills by annexing one cipher; thus 8 cents=80 mills. 2d. Dollars are reduced to cents by annexing two ciphers; thus $5=500 cents. Dollars are likewise reduced to mills by annexing three ciphers; thus $5=5000 mills. (§ 67 and 91, Table.) 3d. Mills are reduced to cents by dividing by 10, that is, cutting off one figure from the right hand of

How those to the right? What stands first on the right of dollars?-what second?-third? On what system are computations in money made? What peculiarity of that system? How are dimes and cents marked? Explain? What terms used in reading Federal money? Illustrate? By what character is Federal money designated?. How are cents reduced to mills-dollars to cents?-dollars to mills? How are mills reduced to cents ?-mills to dollars?-cents to dollars?

the number expressing the mills; thus 5678 mills=567.8 cents. Mills are reduced to dollars by cutting off three right-hand figures from any number expressing mills; thus, 5678 mills=5.678 dollars: and finally, cents are reduced to dollars by cutting off two right-hand figures from any number expressing cents. (§ 82.)

1. Reduce 78 cents to mills.
2. Reduce 39 cents to mills.

3. Reduce 47 dollars to cents and mills.

Ans. 780 mills.

Ans. 390 mills.

Ans. 4700 cents, 47000 mills.

4. Reduce 8 dollars to cents and mills.

Ans. 800 cents, 8000 mills.

Ans. 79 cents.

Ans. $87.

5. Reduce 790 mills to cents.
6. Reduce 8700 cents to dollars.
7. Reduce 8769 cents to dollars.
8. Reduce 7693 mills to cents, and to dollars.

Ans. $87.69.

Ans. 769.3 cents, $7.693.

9. Reduce $18 to cents and mills.

Ans. 1800 cents, 18000 mills.
Ans. 36190 mills.

10. Reduce $36.19 to mills. 11. Find the amount in mills of $37.63; 96 cents; 9 mills; $6.73; 8 mills; and 98 cents.

Ans. 106317 mills.

12. Find the amount in mills of $1.009; 37 cents; $16.319; 116 mills; $5.123; 3 mills;

13. Find the amount of 69 cents; 3 mills; $7; 3 cents; and 9 mills. 14. Find the amount of $7.39; $5.91; $22.17; and $109.01.

and 87 cents.

Ans. 23810 mills. $1,873; 758 mills;

Ans. $10.363. $3.217; $6.198; Ans. $153.895.

ADDITION OF FEDERAL MONEY.

RULE.

§ 92. Write the several numbers under each other, placing dollars under dollars, cents under cents. &c., and place the point as in addition of decimals. (§ 86.)

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