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Thousands.

123,456;789,123;456,123; 456,123; 123,456; 789,789; 323,456; 789,712; 333,345; 789,123; 137,890; 711,716;371,712;456,711.

ENGLISH NUMERATION TABLE.

Tridecillions.

Thousands.
Duodecillions.

Thousands.

To enumerate any number of figures, they must be separated by semicolons into divisions of six figures each, and each division by a comma, as in the annexed table. Each division will be known by a different name. The first three figures in each division will be so many thousands of that name, and the Undecillions. next three will be so many of that name, that is over its unit's place. The value of the numbers in the annexed table is, One hundred twenty-three thousand, four hundred fifty-six tridecillions; seven hundred eighty-nine thousand, one hundred twenty-three duodecillions ; Thousands. four hundred fifty-six thousand, one

Thousands.
Decillions.
Thousands.

Nonillions.

Octillions.

Thousands.

Septillions.

Thousands.

Sextillions.

hundred twenty-three undecillions; four hundred fifty-six thousand, one hundred twenty-three decillions; one hundred twenty-three thousand, four hundred fifty-six nonillions ; seven hundred eighty-nine thousand, seven hundred eighty-nine octillions; three hundred twenty-three thousand, four hundred Thousands. fifty-six septillions; seven hundred eighty-nine thousand, seven hundred twelve sextillions; three hundred thirty-three thousand, three hundred forty-five quintillions; seven hundred eighty-nine thousand, one hundred twenty-three quatrillions; one hundred thirty-seven thousand, eight hundred ninety trillions; seven hundred eleven thousand, seven hundred sixteen billions; three hundred seventy-one thousand, seven hundred twelve millions; four hundred fifty-six thousand, seven hundred eleven.

Quintillions.
Thousands.
Quatrillions.
Thousands.
Trillions.
Thousands.
Billions.
Thousands.

Millions.
Thousands.

Units.

NOTE.-The student must be familiar with the names from Units to Tridecillions, and from Tridecillions to Units, so that he may repeat them with facility either way.

FRENCH NUMERATION TABLE.

Tridecillions.
Duodecillions.

Undecillions.

Decillions.

Nonillions.
Octillions.
Septillions.

Sextillions.

Quintillions.

Quatrillions.

Trillions.

Billions.

Millions.

Thousands.

It will be seen by the annexed table,
that
every three figures have a different
name. Their value would be thus ex-
pressed, Eight hundred seventy-six tri-
decillions, seven hundred eighty-nine
duodecillions, eight hundred thirty-five
undecillions, one hundred twenty-three
decillions, three hundred sixty-nine no-
nillions, eight hundred seventy-three
octillions, seven hundred seventy-seven
septillions, one hundred twenty-seven
sextillions, eight hundred ninety-four
quintillions, two hundred thirty-seven
quatrillions, eight hundred sixty-seven
trillions, one hundred twenty-three bil-
lions, six hundred seventy-eight mil-
lions, four hundred seventy-eight thou-
sands, six hundred thirty-eight.

876,789,835, 123,369,873, 777, 127,894, 237,867, 123, 678, 475,638.

Units.

The pupil should write the following numbers in words.

376 611,711 3,131,671

637,313,789

63,113,716,716

143,776,711,333

44,771,631,147,671

3,761,716,137,716,716

871,137,637,471,378,637

3,761,716,137,716,167,138

611,167,637,896,431,617,761,617 671,386,131,176,378,171,714,563,813

137,471,716,756,378,817,371,767,386,389,716,473

NOTE. Although the French method of enumeration is generally used, yet it may be well for the pupil to understand both the English and the French.

A

Section 2.

ADDITION.

MENTAL EXERCISES.

1. John had two cents and Samuel gave him two more, how many has he?

2. Thomas had three nuts and James gave him three more, how many has he?

3. A boy had four apples, and he found two more, how many in all?

4. I have six dollars, and a man has paid me three more, how many have I ?

5. Enoch had seven marbles, and John gave him two more; how many has he?

6. Benjamin has four dollars, and his sister has three; how many have both ?

7. Paid five dollars for a barrel of flour, and seven dollars for sugar; how much for both?

8. James had two cents and Samuel gave him six more; how many has he?

9. How many are five apples and six apples?

10. How many are four dollars and eight dollars?

11. How many are 2 and 3? 2 and 5? 2 and 7? 2 and 9 ?

[blocks in formation]

15. How many are 6 and 2? 6 and 4? and 5 6 and 7? 6 and 9 ?

[blocks in formation]

16. How many are 7 and 3? 7 and 5? 7 and 7? 7

7 and 9 ?

and 2? 8 and 4? 8 and 5? 8 8 and 8 ?

and 6? 7 and 8 ? 17. How many are 8 and 7? 8 and 9 ? 18. How many are 9 and 1 ? and 4 9 and 6? 9 and 8? 19. How many are 11 11 and 6? 11 and 7?

9 and 5? 9

9 and 3? 9 and 9 ? and 3? 11 and 2 ? 11 and 4? 11 and 9? 11 and 11? 11 and

13? 11 and 12? 11 and 2 and 3? 11 and 4 and 4? 11 and 15 ? 12 and 7 and 3 ? 12 and 6 and 3? 8 and 8 and 49 and 5 and 6 ?

20. Gave nine cents for a pound of cheese, and seven cents for a quart of molasses; what did I give for both? 21. If you buy a picture-book for eleven cents, and a knife for nine cents; what is the cost of both?

22. John paid Luke seven cents for marbles and twelve cents for gingerbread; how much money was received? 23. Thomas paid twelve cents for a top and eight cents for cherries; what did both cost?

24. A merchant sold three barrels of flour to one man and thirteen to another; what was the quantity sold? 25. I have two appletrees, one bears twelve bushels of apples, and the other eleven; how many bushels do both trees produce?

26. How many are 4 and 2 and 3 ? 5 and 7 and 1 ? 3 and 4 and 3? 6 and 6 and 5? 2 and 2 and 8? 2 and 3 and 9 ?

27. How many are 2 and 6 and 7? 2 and 7 and 7? 2 and 8 and 9? 2 and 7 and 4? 2 and 5 and 9? 2 and 9 and 6? 2 and 3 and 10?

28. How many are 3 and 2 and 2? 3 and 3 and 2? 3 and 5 and 5? 3 and 4 and 7? 3 and 6 and 7? 3 and 7 and 10? 3 and 8 and 9? 3 and 9 and 9 ? 29. How many are 4 and 2 and 2? 4 and 3 and 3 ? 4 and 4 and 5? 4 and 6 and 7? 4 and 7 and 7? 4 and 8 and 3? 4 and 9 and 3? 4 and 8 and 8 ?

30. How many are 5 and 3 and 3? 5 and 4 and 4 ? 5 and 5 and 1? 5 and 6 and 7? 5 and 7 and 8? 5 and 8 and 7? 5 and 9 and 9? 5 and 10 and 3?

31. How many are 6 and 2 and 7? 6 and 3 and 6? 6 and 5 and 4? 6 and 7 and 5? 6 and 8 and 7? 6 and 9 and 8? 6 and 10 and 10?

32. How many are 7 and 2 and 3? 7 and 3 and 3? 7 and 5 and 9? 7 and 6 and 6? 7 and 8 and 8? 7 and 9 and 8? 7 and 10 and 11 ?

33. How many are 8 and 2 and 9? 8 and 4 and 3 ? 8 and 7 and 7? 8 and 9 and 10? 8 and 7 and 9? 8 and 10 and 10? 8 and 9 and 12 ?

34. How many are 9 and 5 and 2? 9 and 4 and 3? 9 and 9 and 6? 9 and 10 and 3? 9 and 8 and 8? 9 and 4 and 9 9 and 9 and 9 ?

35. How many are 2 and 2 and 4 and 5? 3 and 4 and 5 and 6 4 and 5 and 6 and 7? 5 and 5 ard 4 and 4 ? 9 and 1 and 2 and 3 and 5 ?

36. James had 4 apples, and Samuel gives him 5, and John gives him 6; how many has he?

37. Gave 7 dollars for a barrel of flour, 5 dollars for a hundred weight of sugar, and 8 dollars for a tub of butter; what did I give for the whole?

38. Paid 5 dollars for a pair of boots, 12 dollars for a coat, and 6 dollars for a vest; what was the whole cost?

39. I have 7 appletrees, 9 cherrytrees, 6 peartrees, and 8 plumtrees; how many in all ?

40. In a certain school, 10 scholars study grammar, 12 arithmetic, 7 logic, 2 rhetoric, and 17 punctuation; how many are there in the school?

41. Gave 12 cents for an almanac, 14 cents for paper, 5 cents for quills, and 8 cents for an inkstand; what did I give for the whole ?

42. Paid 50 dollars for a horse, and 70 dollars for a chaise; what was the price of both?

43. A man performed a journey in 4 days; the first day he travelled 10 miles; the second day 12 miles; the third day 12 miles; the fourth day 20 miles; what was the whole distance ?

44. Paid 2 dollars for a cap, 3 dollars for shoes, 7 dol lars for pantaloons, 6 dollars for a vest, and 12 dollars for a coat; what was the cost of the whole ?

45. Gave 75 cents for an arithmetic, and 25 cents for a geography; what was the price of both?

46. On the fourth of July, 20 cents were given to Emily, 15 cents to Betsey, 10 cents to Benjamin, and none to Lydia; what did they all receive?

47. Bought four loads of hay; the first cost 15 dollars, the second 12 dollars, the third 20 dollars, and the fourth 17 dollars; what was the price of the whole ?

The pupil, having performed the foregoing questions, will perceive, that

ADDITION is the collecting of numbers together to find their sum.

B

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