PROMISCUOUS EXAMPLES.

1. Add twenty-five hundredths, six hundred fifty-four thousandths, one hundred and ninety-nine thousandths, and seven thousand five hundred sixty-nine ten-thousandths.

Ans. 1.8599.

Ans. 9.99.

2. From ten take ten thousandths. 3. What is the difference between forty thousand, and

forty thousandths?

Ans. 39999.960.

4. Multiply sixty-five hundredths, by nine hundredths.

5. Divide 324 by 6400.

6. Reduce .125 to a common fraction.

7. Reduce to a decimal fraction.

8. Divide .016004 by .004.

9. Reduce to a decimal fraction.

Ans. .0585. Ans. .050625.

Ans. A. Ans. .875.

Ans. 4.001.

Ans..68.

10. Reduce .4, .007, .1142, .036, .00015, and .42, to a common denominator.

11. At 13.9 dollars a ton, what will 2.5 tons of hay cost? Ans. 34.75 dollars.

12. If a pound of sugar cost .09 dollars, how many pounds can be bought for 5.85 dollars? Ans. 65 pounds. 13. If 40.02 bushels of potatoes are raised upon 1 acre of land, how many acres would be required to raise 4580.64 bushels? Ans. 114.458 acres. 14. At 11 dollars a ton, how much hay can be bought for 13.75 dollars? Ans. 1.25 tons.

15. If a man travel 32.445 miles in

he travel in .625 of a day?

16. If 2 pounds of sugar cost

be the cost of 10 pounds?

a day, how far can Ans. 20.278125 miles.

.1875 dollars, what will

Ans. .9375 dollars.

17. If 3 barrels apples cost 19.125 dollars, what will be

the cost of 100 barrels ?

Ans. 337.5 dollars.

UNITED STATES MONEY.

118. United States Money is the legal currency of the United States, and was established by act of Congress August 8, 1786. Its denominations and their relative values are shown in the following

NOTE. The currency of the United States is decimal currency, and is sometimes called Federal Money.

119.

The character, $, before any number indicates that it expresses United States money. Thus $75 expresses

75 dollars.

120. The dollar is the unit of United States money; dimes, cents, and mills are fractions of a dollar, and are separated from the dollar by the decimal point (.); thus, two dollars one dime two cents five mills are written $2.125.

121. By examining the above table we find

1st. That the dollar being the unit, dimes, cents and mills are respectively tenths, hundredths and thousandths of a dollar.

2d. That the denominations of United States money increase and decrease the same as simple numbers and decimals, and are expressed according to the decimal system of notation.

Hence we conclude that

United States money may be added, subtracted, multiplied and divided in the same manner as decimals.

Dimes are not read as dimes, but the two places of dimes and cents are appropriated to cents; thus 1 dollar 3 dimes 2 cents, or $1.32, are read one dollar thirty-two cents; hence,

When the number of cents is less than 10, we write a cipher before it in the place of dimes.

NOTE. The half cent is frequently written as 5 mills; thus, 24 cents, written $.245.

EXAMPLES FOR PRACTICE.

1. Write five dollars twenty-five cents.
2. Write four dollars eight cents.
3. Write twelve dollars thirty-six cents.
4. Write seven dollars sixteen cents.

6. Write ten dollars ten cents.

7. Write sixty-five cents four mills.

8. Write one dollar five cents eight mills.

Ans. $5.25.

Ans. $4.08.

$.654.

$1.058.

9. Write eighty-seven cents five mills. Ans. $.875.

10. Write one hundred dollars one cent one mill.

Ans. $100.011. 11. Read $4.07; $3.094; $10.50; $25.02.

REDUCTION.

122. 1. How many cents are there in 75 dollars?

OPERATION.

75

100

7500 cents.

multiplier, (62).

ANALYSIS. Since in 1 dollar there are 100 cents, in 75 dollars there are 75 times 100 cents or 7500 cents. To multiply by

10, 100, &c., we annex as many ciphers to the multiplicand as there are ciphers in the Hence

To change dollars to cents, multiply by 100; that is, annex TWO ciphers. And

To change dollars to mills, annex THREE ciphers.

To change cents to mills, annex ONE cipher.

NOTE. To change dollars and cents, or dollars, cents, and mills to mills, remove the decimal point and sign, $.

OPERATION.

1/00)34/27

$34.27 Ans.

Ans. 6325 mills.

ANALYSIS. Since 100 cents equal 1 dollar, 3427 cents equal as many dollars as 100 is contained times in 3427, which is 34.27 times.

To divide by 10, 100, &c., cut off as many figures from the right of the dividend as there are ciphers in the divisor, ( 72 ). Hence

To change cents to dollars, divide by 100; that is, point of Two figures from the right. And

To change mills to dollars, point off THREE figures.
To change mills to cents, point off ONE figure.

EXAMPLES FOR PRACTICE.

2. Change 972 cents to dollars.
3. Change 1609 cents to dollars.
4. Change 3476 mills to dollars

Ans. $9.72.

Ans. $16.09.

Ans. $3.476

5. In 34671 cents how many dollars?
6. 10307 cents how many dollars?
7. In 203062 mills how many

8. Reduce 672 mills to cents.

dollars?

9. Reduce 3104 mills to dollars.

10. Reduce 17826 cents to dollars.

ADDITION.

Ans. $203.062. Ans. $.672.

123. 1. What is the sum of $12.50, $8.125, $4.076, $15.375 and $22 ?

OPERATION.

$12.50

8.125

4.076

15.375

22.000

$62.076 Ans.

ANALYSIS. Writing dollars under do'lars, cents under cents, &c., so that the decimal points shall stand under each other, we add and point off as in addition of decimals. Hence the following

RULE. I. Write dollars under dollars, cents under cents, &c. II. Add as in simple numbers, and place the point in the amount as in addition of decimals.

6. What is the sum of 30 dollars 9 cents; 200 dollars 63 cents; 27 dollars 36 cents 4 mills, and 10 dollars 16 cents? Ans. $268.244.

7. Add 390 dollars 37 cents 5 mills, 187 dollars 50 cents, 90 dollars 5 cents 5 mills, and 400 dollars 40 cents. Ans. $1068.33.