1 dollar is the same as. 100 cents, which is 1000 mills. 2 dollars is the same as 200 cents, which is 2000 mills. 5 dollars is the same as 500 cents, which is 5000 mills. 7 dollars is the same as 700 cents, which is 7000 mills. 56 dollars is the same as 5600 cents, which is 56000 mills.

365 dollars is the same as 36500 cents, which is 365000

mills.

3456 dollars is the same as 345600 cents, which is 3456000 mills. &c.

&c.

From this we see that dollars are changed into cents by annexing two ciphers; cents are changed into mills by annexing one cipher, and dollars into mills by annexing three ciphers.

How are dollars changed into cents? How are cents changed into mills? How are dollars changed into mills?

EXAMPLES.

1. How many cents in $6?

2. How many mills in 13 cents?

3. How many mills in $4 and 45 cents?

Ans. 600.

Ans. 130.

Ans. 4450.

4. How many mills in 75 cents and 1 mill?

Ans. 751.

5. How many cents in $9 and 13 cents? Ans. 913. 6. How many mills in $5 and 55 cents and 5 mills? Ans. 5555.

61. If we cut off one figure from the right of mills, which is dividing by 10, (ART. 30,) the sum will be changed into cents; if from the right of cents we cut off two figures, that is, divide by 100, the sum will be changed into dollars; and if from the right of mills we cut off three

figures, that is, divide by 1000, the sum will be changed into dollars. The part cut off will be a decimal portion of the denomination to which the sum is changed.

How may mills be changed to cents? How may cents be changed to dollars? How may bills be changed to dollars?

EXAMPLES.

How

dollars in 113 cents?

many 2. How many dollars in 12345 mills? 3. How many dollars in 1004 mills? 4. How many cents in 45678 mills?

Ans. $1.13.

ins. $12.345.

Ans. $1.004.

Ans. 4567-8 cents.

5. How many dollars in 2456405 mills?

Ans. $2456 405.

TABLE

OF SOME FRACTIONAL PARTS OF A DOLLAR FREQUENTLY USED.

62.

100 cents 1 dollar.

QUESTIONS WROUGHT BY DECIMALS.

1. Bought 4 loads of wood; the first contained 0.97 cords, the second contained 103 cords, the third contained

0.945 cords, the fourth contained 1.005 cords. What did the four loads measure? Ans. 3.95 cords.

2. In the month of May the amount of rain was 3.15 inches, in June it was 4.05 inches, in July it was 2.97 inches, and in August it was 3.03 inches. How much rain fell during these four months? Ans. 13.2 inches.

3. During three successive days the mean range of the barometer was 29.04 inches, 29.51 inches, and 29.73 inches respectively. What is the sum of these heights?

Ans. 88.28 inches.

4. Bought a box of raisins for $1.75, one bushel of apples for $0.375, one cheese for $3.175, one barrel of sugar for $15.50. What did the whole amount to?

Ans. $20.80.

5. A farmer receives $15.375 for a cow, $75 for a fine horse, $3.125 for some potatoes, $5.55 for some poultry. How much did he receive in all? Ans. $99.05.

6. A person bought some velvet for $3.333, some broadcloth for $18.75, some silk for 12:50, some cotton cloth for $5-405, a shawl for $12-25, some carpeting for $30.05. What did the whole amount to? Ans. $82.288. 7. A person borrowed $213-375, of which he has paid $107.18. How much does he still owe?

Ans. $106.195.

How much

Ans. $6.375.

8. Bought a cow for $13.25, paid $6.875. remains unpaid? 9. What will 185 pounds of coffee cost, at $0.138 per pound?

Ans. $25.53.

10. Bought 8.375 cords of wood, at $2.50 per cord. What did it cost?

Ans. $20.9375.

11. What will 121.5 gallons of molasses come to, at 41 cents per gallon?

Ans. $49.815.

mile?

12. The length of the Erie Canal is 364 miles, and it cost $7143790. What was the average expense of one Ans. $19625.796+. 13. The Crooked Lake Canal is 8 miles long, and cost $156777. How much is this per mile?

Ans. $19597·125.

14. In 1842, the whole number of children taught in the district schools of the State of New York was 598901; the whole amount disbursed for common schools was $1155419-90. How much was that per scholar?

Ans. $1.929+.

15. The salary of the President of the United States is $25000. How much is that each day? 16. In one rod there are 16.5 feet.

3573 feet?

Ans. $68·493+.

How many rods in Ans. 216-5454+ rods.

17. Bought a farm of 137 acres for $5324. How much

was that per acre?

18. If 35 miles of railroad cost was the average cost per mile ?

Ans. $38.861+. $400000, how much Ans. $11428.574.

19. Suppose a carriage wheel to be 12 feet in circumference, how many times will it revolve in passing over a distance of 100 miles, there being 5280 feet in a mile?

Ans. 44000 times. 20. If at each stroke of the piston rod of a locomotive engine a distance of 13.25 feet is passed over, how many strokes must be made in passing a distance of 93 miles ? Ans. 37059 62+ times

21. In 1845, the revenue or interest from the School Fund of the State of New York was $86828.96. During the same year there were employed 7147 teachers. If the above sum were equally divided among those teachers, what would each one receive? Ans. $12.149+.

22. In 1844, the whole number of school districts of New York was 10990, and the whole number of children in said districts, between the ages of 5 and 16 years, was 696548. What was the average number for each district? Ans. 63.38, nearly.

23. In New York, the total number of volumes in the 11018 school district libraries was 1145250. What was the average number for each library?

Ans. 103-94+ volumes. 24. In one mile there are 1760 yards, and in one rod there are 55.5 yards. How many rods in one mile? Ans. 320 rods.

25. If light passes 191515 miles in a second, how many seconds will it require to pass from the sun to the earth, a distance of 95500000 miles? Ans. 498-65+ seconds.

26. If a cubic inch of pure water weigh 252-458 grains avoirdupois, of which 7000 make one pound, what is the weight of the Imperial or English gallon, which contains 277-274 cubic inches?

27 If one Imperial gallon contain 277 274 cubic inches, how many cubic inches in 8 gallons or one bushel, and how many cubic feet of 1728 inches each?

28. If one cubic inch of pure water weigh 252-458 grains avoirdupois, how many grains will 1728 cubic inches, or one cubic foot, weigh, and 'how many pounds of 7000 grains each?

Ans.436247-424 grains,

62-32106 pounds, nearly,