2. As cents occupy two places, if the number to be expressed is less than 10, a cipher must be prefixed to the figure denoting them. 3. In business calculations, if the mills in the result are 5 or more, they are considered a cent; if less than 5, they are omitted. 1. Write 17 dollars and 5 cents. Ans. $17.05. 2. Write 20 dollars, 10 cents, and 3 mills. Ans. $20.103. 3. Express 3 eagles and 4 dimes, in dollars and cents. ANALYSIS. Since in I eagle there are 10 dollars, in 3 E. there are 3 times 10, or $30. Again, in I dime there are 10 cents, and in 4 dimes 4 times 10, or 40 cents. Ans. $30.40.

4. Write 43 dollars, 12 cents and 5 mills. 5. Write 100 dollars and 8 cents.

6. Write 219 dollars, 3 cents and 4 mills.

7. Write a thousand and ten dollars and five cents.

EXERCISES

IN READING U. S. MONEY.

5. How read U. S. Money?

Read the figures on the left of the decimal point, as dollars; those in the first two places on the right, as cents; the next one, as mills; the others, as decimals of a mill.

Copy and read the following sums of U. S. Money?

1. $17.213.

6. $100.

II. $1000.043.

To Reduce Dollars to Cents and Mills.

1. How many cents are there in $4?

ANALYSIS.-Since there are 100 cents in a dollar, there must be 100 times as many cents as dollars, or 400 cts. (P. 56, Q. 17.)

2. In $6, how many cents? In $7? In $10? In 12? How many mills in $6 ?

3.

ANALYSIS.-There are 1000 mills in a dollar; hence, in $6 there must be 1000 times as many mills as dols., or 6000 mills.

4. How many mills in 15 cents? In 52 cents? 5. In $7, how many mills? In $11? In $20 ?

1. How many cents in 18 dollars?

ANALYSIS. Since there are 100 cents in a dollar, there must be 100 times as many cents as dollars; and 100 times 18 are 1800. Therefore, etc.

2. In 87 cents, how many mills? ANALYSIS.-Since there are 10 mills in a cent, there must be 10 times as many mills as cents; and 10 times 87 are 870.

6. How reduce dollars to cents, etc.?

OPERATION.

18 dollars.

100

Ans. 1800 cts.

87 cents.

ΙΟ

Ans. 870 mills.

To reduce dollars to cents, multiply them by 100.
To reduce dollars to mills, multiply them by 1000.
To reduce cents to mills, multiply them by 10.

NOTE.-To reduce dollars, cents, and mills, to cents and mills, erase the sign of dollars ($) and the decimal point.

3. In $40.75, how many cents?

4. In $51.073, how many mills?

Ans. 4075 cents.

Ans. 51073 mills.

Reduce the following to the denominations indicated?

5. $67 to cents.

10. $85.38 to cents.

6. $125 to cents.

7. $95 to mills.
8. $216 to mills.
9. $46.10 to cents.

II. $7.375 to mills.
12. $9.87 to mills.
13. $537 to cents.
14. $1385 to mills.

CASE II.

To reduce Cents and Mills to Dollars.

1. How many dollars in 212 cents?

ANALYSIS.-Since in 100 cents there is $1, in 212 cents there are as many dollars as 100 is contained times in 212; and 100 is contained in 212, 2 times and 12 cents over.

Therefore, etc.

In 625 cents?

In 865 cents?

2. How many dollars in 500 cents? 3. How many dollars in 700 cents? How many dollars in 3000 mills? SOLUTION.-As many as 1000 is contained times in 3000, which is 3 times.

4.

5. How many dollars in 5256 mills? In 7341 mills? 6. How many cents in 327 mills? In 432 mills?

SLATE EXERCISES.

1. How many dollars in 348 cents?

ANALYSIS. Since in 100 cents there is I dollar, in 348 cents there are as many dollars as there are times 100 cents in 348 cents; and 100 is in 348 cents, 3 times and 48 cents over. Therefore, etc. 2. How many dollars in 4285 mills? SOLUTION.-We divide the given mills by 1000, or what is the same thing, cut off 3 figures on the right of the dividend.

47. How reduce cents and mills to dollars?

OPERATION.

100) 348 $3.48

1000) 4/285

Ans. $4.285

To reduce cents to dollars, divide them by 100.
To reduce mills to dollars, divide them by 1000.
To reduce mills to cents, divide them by 10.
3. In 235 cents, how many dollars?

Ans. $2.35.

Reduce the following to the denominations indicated:

4. 563 cents to dollars.

5. 895 cents to dollars.

6. 1263 cents to dollars.

7. 5770 cents to dollars. 8. 268 mills to dollars. 9. 3275 mills to cents.

ADDITION OF U.S. MONEY.

1. George paid $2.45 for a sled, and $1.63 for a pair of skates: what was the cost of both?

ANALYSIS.-$2 and $1 are $3; 45 cts. and 63 cts. are 108 cts., or $1.08, which added to $3, make $4.08. Therefore, etc.

2. What is the sum of $5.17 and $12.30?

3. If a hat costs $5.50, and a vest $9.75, what is the cost of both?

4. A farmer sold a sheep for $5.50, and a calf for $7.30: what did he receive for both?

5. The price of a reader is 87 cts., and an arithmetic 63 cts.: what is the price of both?

6. If a man pays $3.25 a day for board, and 85 cents for cigars, what are his daily expenses for both?

8. Upon what principle is U. S. Money founded? It is founded upon the Decimal Notation.

9. How are its operations performed?

Its operations are the same as the corresponding operations in whole numbers and Decimal Fractions.

1. What is the sum of $10.625; $16.078; $28? ANALYSIS.-We write dollars under dollars, cents under cents, etc., and beginning at the right, add as in simple numbers, placing the decimal point in the amount under those in the numbers added. (P. 25, Q. 9.)

10. How add United States money?

$10.625

16.078

28.00

$54.703

Write dollars under dollars, cents under cents, etc., and add as in simple numbers, placing the decimal point in the amount under those in the numbers added.

NOTE.-If any of the given numbers have no cents, their place should be be supplied by ciphers.

6. What is the sum of $85.10; $164.07; and $35.20? 7. What is the sum of $207.56; $500.65; and $61.52 ?

8. Paid $8.75 for a barrel of flour; $5.25 for 2 barrels of apples; and $7 for a ton of coal: what was the amount of my bill?

9. A farmer bought a horse for $120.875; a yoke of oxen for $95; and a cart for $68.50: what did he pay for all?

10. A merchant sold goods amounting to $150.35 to one customer; to another $96.40; to another $110; and to another $200.68: what amount did he sell to all?

11. Add 120 dollars, 5 cents, and 3 mills; 45 dollars, and 7 mills; 78 cents, and 6 mills.

12. Add 7 dollars, and 7 cents; 10 dollars, and 5 mills; 217 dollars, and 45 cents; and 31 dollars.

13. Add 371 dollars, 40 cents, and 8 mills; 710 dollars; 90 dollars, and 35 cents; and 219 dollars.

14. Add 1000 dollars; 100 dollars, and 10 cents; 93 cents; 860 dollars, and 8 cents; 5 dollars and 95 cents.

15. What is the sum of 1500 dollars and 8 cents + 807 dollars, 60 cents, and 7 mills + 763 dollars, 3 cents and 5 mills +85 cents and 8 mills?

16. A lady bought a dress for $45.63; a shawl for $87.625; a collar for $15.375; a pocket-handkerchief for $7.50; what was the amount of her bill?

17. Bought an overcoat for $35.75; a dress-coat for $28.62; and a vest for $9.124: required the amount.