20. How many inches in 360 degrees of 69 miles to each degree, which is the circumference of the earth, nearly. Ans. 1577664000 inches. 21. In 12121212 barleycorns, how many miles?

Ans. 63mi. 6fur. 6rd. Oyd. 1ft. 4in. 22. Reduce 12 Ells French to nails. Ans. 288 nails. 23. Reduce.11 Ells English, 3 quarters, to quarters. Ans. 58 quarters.

24. Reduce 10 Ells Flemish, 3 quarters, 1 nail, to nails.

25. Reduce 4 yards to quarters.
26. In 1000 nails, how many yards?
27. How many inches in 6 yards, 3

Ans. 133 nails. Ans. 16 quarters.

Ans. 62yds. 2qr. quarters ?

Ans. 243 inches.

28. How many square inches in 10 square feet?

Ans. 1440 square inches.

29. In 3 square miles, how many square rods or poles?

Ans. 307200P.

30. In 3 acres, 27 rods, how many square feet?

Ans. 1380304 square feet.

31. In 26025 square feet, how many square roods?

Ans. 2R. 15P. 1614 sq. ft.

32. In 70000 square links, how many square chains?

Ans. 7 square chains.

33. How many square links in 5 acres?

Ans. 500000 square links.

34. In 17 cords of wood, how many cubic feet?

Ans. 2176 cubic feet.

35. In 17 tons of round timber, how many cubic inches? Ans. 1175040 cubic inches.

ber.

36. Reduce 17900345 cubic inches to tons of hewn tim

Ans. 207 Tons, 8 cubic feet, 1721 cubic inches.

37. In 1000 cord feet of wood, how many cords ?

Ans. 125 cords.

38. In 19 cubic feet, how many cubic inches?

Ans. 32832 cubic inches.

39. In 16 hogsheads of wine, how many gills?

Ans. 32256 gills.

40. In 10000 gills of wine, how many barrels ? Ans. 9 barrels 29 gallons.

41, Reduce 2 pipes, 7 barrels, 3 quarts of wine, to pints. Ans. 3786 pints.

42. Reduce 31752 gills of wine to barrels.

Ans. 31 barrels, 15 gallons, 3 quarts

43. Reduce 201600 gills to tuns of wine.

44. Reduce 11 hogsheads of beer to pints.

Ans. 25 tuns.

Ans. 4752 pints.

45. In 100000 pints of beer, how many hogsheads? Ans. 231 hogsheads, 26 gallons. 46. In 10 hogsheads, 1 quart, 1 pint of beer, how many pints? `Ans. 4323 pints. 47. In 36 bushels how many pints? Ans. 2304 pints. 48. In 25 chaldrons 29 bushels, how many quarts? Ans. 29728 quarts.

49. In 10000 pints, how many chaldrons ?

50. In 1597 quarts, how many

Ans. 4ch. 12bu. 1pk. bushels ?

Ans. 49bu. 3pk. 5qt.

51. In 30 days, how many seconds? Ans. 2592000sec. 52. In 19 years of 3654 days each, how many hours?

Ans. 166554 hours.

53. In 25 years 6 days, how many seconds?

Ans. 789458400 seconds.

54. How many days from the birth of Christ to Christmas, 1843, allowing the years to consist of 365 days 6 hours? Ans. 673155 days 18 hours. 55. A person was born May 3, 1795. How many days old was he May 3, 1821, paying particular attention to the order of leap year? Ans. 9496 days.

56. Suppose a person was born February 29, 1796; how many birthdays will he have seen on February 29, 1844, not counting the day on which he was born ?*

Ans. 11 birth-days.

57. In 3 signs 18 degrees, how many seconds?

Ans. 388800".

58. In 6 signs 9 degrees, how many degrees?

Ans. 1890. Ans. 16° 40'. Ans. 2° 46′ 40′′.

59. In 1000' how many degrees?
60. In 10000" how many degrees?
61. Reduce 45° 45′ 35′′ to seconds.
62. In 1000 things, how many dozen?

Ans. 164735".

Ans. 83 dozen and 4 over.

63. How many buttons in 6 dozen?

Ans. 76 buttons.

64. In 80000 tacks, how many gross?

Ans. 555 gross, 6 dozen and 8.

65. In three score and ten years, how many years ?

66. In 15 quires of paper, how many

Ans. 70 years. sheets?

Ans. 360 sheets.

67. In a ream of paper, how many sheets ?

Ans. 480 sheets.

It must be recollected that the year 1800 was a common year, having no 29th of

February.

ADDITION OF DENOMINATE NUMBERS.

82. If we wish to find the sum of £6 5s. 3d. 1 far., £7 1s. 10d. 2 far., £1 13s. 5d., £4 18s. Od. 2 far., we proceed as follows:

OPERATION.

£ s. d. far.

6

5 3 1

7 1 10 2

1 13 5 0

4 18 0 2

£19 18s. 7d. 1 far.

column, whose sum

Placing the numbers of the same denomination directly under each other, we add up the column of far-. things, which we find to be 5. But we know that 5 farthings are equivalent to 1 penny and 1 farthing; we therefore write down the 1 farthing under the column of farthings, and carry the penny into the next thus becomes 19 pence, which is the same as 1 shilling and 7 pence; we write down the 7 pence under the column of pence, and carry the shilling to the column of shillings; whose sum then becomes 38 shillings, which is the same as 1 pound and 18 shillings; we write down the 18 shillings under the column of shillings, and carry the pound into the column of pounds, whose sum then becomes 19 pounds; and since pounds is the highest denomination, we write down the whole.

From this example we may deduce this general

RULE.

I. Place the numbers so that those of the same donomination may stand directly under each other, and draw a line beneath them.

II. Add the numbers in the lowest denomination; divide their sum by the number expressing how many it takes of uch denomination to make one of the next higher Write

the remainder under the column added, and carry the quotient to the next column; which add as before.

III. Proceed thus through all the denominations to the highest, whose sum must be set down entire.

How do you place denominate numbers which are to be added? Which do you first add? Having added the column of lewest denominations, explain the subsequent work.