figures, that is, divide by 1000, the sum will be changed into dollars. The part out 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 mills be changed to dollars?

OF SOME FRACTIONAL PARTS OF A DOLLAR FREQUENTLY USED.

62.

QUESTIONS WROUGHT BY DECIMALS.

1. Bought 4 loads of wood; the first contained 0.97 cords, the second contained 1.03 cords, the third contained

0.945 cords, the fourth contained 1.005 cords.

the four loads measure?

What did

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.

1

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.

8. Bought a cow for $13.25, paid $6.875. How much remains unpaid? Ans. $6.375. 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.

12. The length of the Erie Canal is 364 miles, and it cost $7143790. What was the average expense of one mile? 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 chi.dren 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? Ans. $68·493+. 16. In one rod there are 16.5 feet. 3573 feet?

How many rods in Ans. 216 5454+ rods. 17. Bought a farm of 137 acres for $5324. How much was that per acre? Ans. $38.861+. 18. If 35 miles of railroad cost $400000, how much was the average cost per Ans. $11428.574.

mile?

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?

29. A farmer sells his butter for $0.21 per pound, reHow many pounds did he sell?

ceiving $1613.22.

Ans. 7682 pounds.

30. The butter made from the milk of 53 cows during the summer, being sold for $0.20 per pound, brought $1579-40. How many pounds were sold, and what was the average produce of each cow?

31. In a dairy of 46 cows, suppose each averages 2.5 gallons of milk daily, and that each gallon produces 1.1 pounds of cheese, how many pounds will be thus made 5.7 months of 30 days each?

32. A farmer sold as follows:

Ans. 21631-5 pounds.

15127 pounds of cheese, at 6.75 cents per pound,

63. To find the value of articles estimated by the 100 or 1000.

What is the value of 9425 bricks, at $3.25 per 1000? Had the price been $3.25 for each brick, we should multiply the price per brick by the number of bricks: that is, $3.25 by 9425; or, what is the same thing, we, for convenience sake, make the true multiplicand the multiplier, as in the following