25. Thomas sold five melons, at ten cents each, and paid twenty-five cents for a book, and ten cents for a slate; how many cents had he remaining?

26. A man having fifty dollars, paid twenty dollars for a coat, six dollars for a pair of pantaloons, and four dollars for a vest; how many dollars had he left?

27. A boy found fourteen eggs in one nest, and eight less in another; how many eggs did he find in the second nest? How many in both nests?

LESSON X.

1. Ir two lambs cost six dollars, what will one lamb cost?

2. How many peaches, at two cents apiece, can you buy for six cents?

3. If I walk four miles per hour, in how many hours shall I walk eight miles ?

4. If I walk eight miles in two hours, how many miles do I walk in one hour? How many miles in three hours?

5. At three dollars a yard, how many yards of cloth can I buy for nine dollars? For twelve dollars? 6. If you pay twelve dollars for four yards of cloth, what is the price of one yard?

7. Twelve apples were divided equally between three boys; how many apples did each boy receive?

8. In a certain orchard there are fifteen trees standing in rows, and there are five trees in each row; how many rows are there?

9. I have twenty trees, standing in four equal rows; how many trees are there in each row ?

10. How many barrels of apples, at three dollars a barrel, can I buy for fifteen dollars? For eighteen dollars?

11. How many pears, at two cents apiece, can you buy for eighteen cents? For twenty cents?

12. How many oranges, at four cents apiece, can you buy for twenty cents? For twenty-four cents? 13. Bought four barrels of flour for twenty-eight dollars; what was the price of one barrel?

14. Paid twenty-five cents for five oranges; how many cents did I pay for one orange? For two? 15. How many spools of thread, at eight cents a spool, can be bought for thirty-two cents? forty cents?

For

16. Paid thirty-six cents for six spools of thread; how many cents did I pay for one spool? For four? 17. A farmer sowed twenty-eight bushels of oats on seven acres of land; how many bushels did he sow on one acre? On five acres?

18. If I pay thirty-five dollars for five cords of wood, what is the price of one cord?

19. If coal is worth six dollars a ton, how many tons can I buy for forty-two dollars? For twentyfour dollars?

20. If a bird can fly twelve miles in one hour, in what time can it fly twenty-four miles? Thirty-six miles?

21. If wood is worth six dollars a cord, and coal is worth eight dollars a ton, how many cords of wood will pay for three tons of coal?

LESSON XI.

1. FOUR are how many times two? 2. Six are how many times two?

3. Six are how many times three?

4. Eight are how many times two? Four?
5. Ten are how many times five? Two?
6. Nine are how many times three?

7. Twelve are how many times three? Six?
8. Twelve are how many times two? Four?
9. Fourteen are how many times seven?

10. Fifteen are how many times five? Three? 11. Sixteen are how many times four? Two ? 12. Eighteen are how many times two? Six? 13. Eighteen are how many times three? Nine? 14. Twenty are how many times five? Two? 15. Twenty-one are how many times seven ? 16. Twenty-four are how many times six? Two? 17. Twenty-four are how many times four? Eighti 18. Twenty-four are how many times three? 19. Three times four are how many times three? 20. Five times eight are how many times four? 21. Six times five are how many times ten? 22. Four times nine are how many times six? 23. Four times six are how many times eight? 24. Ten times four are how many times eight? 25. Eight times six are how many times twelve? 26. Six in twelve, how many times? 27. Three in twenty-one, how many times? 28. Five in thirty-five, how many times? 29. Eight in thirty-two, how many times? 30. In forty-two, how many times six ? 31. In forty-eight, how many times eight? 32. In thirty-five, how many times seven? 33. In forty-nine, how many times seven? 34. In fifty, how many times ten? Five? 35. Eleven in fifty-five, how many times? 36. Eight in fifty-six, how many times? 37. Twelve in sixty, how many times? 38. Eight in seventy-two, how many times? 39. Nine in sixty-three, how many times? 40. Five in fifty-five, how many times?

41. Eight times nine are how many times twelve? 42. Five times twelve are how many times six? 43. Three times fourteen are how many times six? 44. Three times fifteen are how many times nine? 45. Three times twenty are how many times twelve? 46. Eight times nine are how many times six?

SECTION SECOND.

LESSON I.

REMARKS. 1. Instead of writing the names of numbers, it is customary to express them by certain marks, or characters, called figures.

2. These figures are ten in number, and are called Arabic figures.

3. Taken separately, each figure means the same as the word placed under it in the following lines; thus,

0, 1, 2, 3. 4, 5, 6, 7, 8, 9. Naught, One, Two, Three, Four, Five, Six, Seven, Eight, Nine.

4. To express numbers greater than nine, these figures are repeated and combined in various ways; thus,

twenty-one.

100,.

thirty-one. forty.

forty-one.

ninety.

one hundred.

twenty-two. 102, one hundred and two. twenty-three. 205, two hundred and five. twenty-four. 900,. . nine hundred.

NOTE. It is presumed that the pupil is familiar with all the figures, and the manner of combining them so as to express small numbers, like those in the above Table, previous to study. ing this book. If, however, this is found to be untrue in any case, such pupil should be exercised by the teacher, upon the blackboard or elsewhere, until he can readily write in figures any number less than 1000.

5. To abbreviate expressions, and to indicate the relations of numbers to each other, we sometimes use signs instead of words.

6. This mark, $, is often used as a sign of the word dollar, or dollars; thus, the expression $1, stands for one dollar; $4 stands for four dollars.

7. The sign of equality, =, signifies that the quantities between which it stands are equal to each other; thus, $1100 cents; that is, one dollar equals one hundred cents.

8. The sign of addition, +, called plus or and, denotes that the quantities between which it stands are to be added together; thus, 3+2=5; that is, three plus two equals five, or three and two are five.

9. The sign of subtraction, called minus or less, signifies that the number after it is to be taken from the number before it; thus, 7-43; that is, seven minus four, or seven less four, equals three.

10. The sign of multiplication, X, signifies that the two numbers between which it stands are to be multiplied together; thus, 6 × 530; that is, six multiplied by five equals thirty, or six times five are thirty.

11. The sign of division, ÷, indicates that the number before it is to be divided by the number after it; thus, 824; that is, eight divided by two equals four, or two in eight, four times.

LESSON II.

1. MASSACHUSETTS has 14 counties, Rhode Island has 5, and Connecticut has 8; how many counties have the three States? Ans. 14+5+8=27.

2. How many more counties has Massachusetts than Rhode Island? Ans. 14—5—9.

3. If I pay $9 for a barrel of flour, $8 for a hundred pounds of pork, and $3 for a bushel of beans, how many dollars shall I pay for all?