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The following Table is the French method of Enumeration.

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By the annexed table it will be seen, that every

three figures have a different name. Their value would be expressed thus: Eight hundred nine tridecillions, three hundred and seventeen duodecillions, one hundred twenty-three undecillions, five hundred eighty-six decillions, three hundred fifteen nonillions, eight hundred sixty-one octillions, eight hundred thirty-one septillions, five hundred sixty-one sextillions, seven hundred eighty-six quintillions, eight hundred eleven quatrillions, one hundred twenty-three trillions, four hundred fifty-six billions, six hundred seventeen millions, eight hundred thirty-one thousand, five hundred and fifteen.

Billions.

Note. - It is very doubtful, whether the French method is so good as that of the English.

Millions.

Thousands
Units.

Let the following numbers be written in words.

76

319 74,679

864,093

27;623,781 867,832;732,567 216;746,230;095,623 56,000,000,602,007,020 7;065,182;347,627;907,640 802;678,327;006,279;206,040

6,070;360,217;642,176;400,567

4;332,705;607,204;062,376;407,592 3;469,200;000,000;111,111;100,000,001,101 7;006,437;576,589;081,828,384,859,091,929;394,332 71,326;436,035;769,846,012,131;415,161;718,192;021,223 712,642,976,403,796,411;604,220;404,263;575,068,076,001 170,907;642,376;756,809;000,604;020,760;307,000;100,000

Let the following numbers be written in figures.
1. Twenty-nine.
2. Four hundred and seven.
3. Twenty-three thousand and twenty-seven.
4. Five million two thousand and five.
5. Seventeen trillion two hundred million and six.

6. Fifteen billions twenty-seven thousand million nine thousand two hundred and five.

7. Seven billions, five millions, six thousand, five hundred and twenty-five.

8. Ninety-nine trillions, seventy-nine thousand six hundred billions, one hundred and twenty-four millions, three hundred and twenty-nine.

9. Fifteen quintillions, thirty-three thousand millions, seventysix thousand and five.

10. Eight thousand five hundred and forty-three septillions, five quintillions, seven hundred twenty-nine thousand three hundred and forty-six quatrillions, three - hundred fifty-seven thousand two hundred sixty-one trillions, four hundred and two thousand, twenty-three billions, seven millions and forty-six.

11. Nine nonillions, forty-seven trillions, ten thousand seven billions, two million and seventy-two.

12. Three hundred and twenty-thousand and fifteen duodecillions, two thousand and ten trillions, one hundred and twentyseven billions, twenty-six millions, three hundred and twenty thousand four hundred and twenty-six.

SECTION II.

MENTAL OPERATIONS IN ADDITION.

1. How many are 3 and 4? How many are 3 and 6? How many are 3 and 7? How many are 9, 7 and 3? 4 and 10? 7 and 6? 5 and 11? 3 and 15? 6 and 5? 4 and 8? 10 and 5! 3 and 12? 6 and 6? 6 and 8? 6 and 7? 6 and 3? 6 and 10? 6 and 9? 6 and 12? 6 and 11? 6 and 13? 5 and 3? 5 and 5? 5 and 4? 5 and 7? 5 and 9? 5 and 8? 5 and 6? 5 and 12? 5 and 15? 5 and 13? 7 and 3? 7 and 5? 7 and 7 ? 7 and 9? 7 and 8? 8 and 2? 8 and 5? 8 and 4? 8 and 8? 8 and 7? 8 and 9? 8 and 12? 8 and 10? 9 and 5? 9 and 2? 9 and 4? 9 and 9? 9 and 7? 9 and 8? 10 and 5? 10 and 7? 10 and 4? 10 and 3? 10 and 10?

2. Bought an orange for 3 cents and some nuts for 6 cents ; what did they both cost?

3. Bought a pound of figs for 8 cents and a pint of cherries for 7 cents; what was the price of both?

4. Bought a book for 12 cents and some paper for 9 cents ; what did they both cost?

5. Gave 6 dollars for a cow and 9 dollars for a load of hay ; what did I give for both?

6. A boy gave 12 cents for a penknife and 10 cents for a bunch of quills ; what did he give for both?

7. A boy gave 8 cents for a top and 9 cents for some apples ; what was the price of the whole?

8. A lady gave 11 dollars for a silk cloak and 7 dollars for a bonnet ; what was the price of both?

9. How many are 3 and 2 and 5? How many are 7 and 8 and 10? How many are 11 and 5 and 2? 6 and 5 and 4? 7 and 5 and 8? 12 and 3 and 9? 15 and 2 and 3? 16 and 3 and 4? 10 and 9 and 3? 12 and 5 and 2? 13 and 10 and 2? 15 and 5 and 10? 25 and 2 and 3? 30 and 2 and 8? 1 and 50 and 2? 50 and 50 and 1? 12 and 12 and 10? 13 and 7 and 5? 30 and 20 and 10? 10 and 60 and 30? 15 and 5 and 50? 100 and 50 and 60? 17 and 9 and 7 ? 19 and 9 and 8? 99 and 6 and 10? 29 and 8 and 8? 15 and 15 and 15?

10. James gave 30 cents for an arithmetic, 10 cents for a slate, and 15 cents for a writing book ; what did he give for the whole

11. A merchant has due from one creditor 20 dollars, from another 10, from another 25. What is the sum due from the whole?

12. A gentleman gave 17 dollars for a coat, 12 dollars for pantaloons, 5 dollars for a vest, 6 dollars for a hat. What did they all cost him?

13. A drover has three flocks of sheep; the first has 25, the second 35, and the third 50. How many in the whole?

14. William is 12 years old, John is 9, and Thomas is 8. What is the sum of their ages?

15. Samuel has 5 apples, Enoch has 18, and Levi has 20. How many in the whole?

16. A beggar received of one man 14 cents, of another 12, of another 8, and of another 7. How many has he received ?

17. Samuel has 12 marbles in one pocket, 12 in another, and 2 in each hand; how many has he in all?

18. John has 7 birds in one cage, and 12 in another; how many has he in both cages?

19. A farmer has 11 calves in one pasture, 6 in another, and 5 in another; how many has he in the whole?

20. Thomas caught one afternoon 7 pickerel, 9 trout, and 10 perch; how many had he in all?

21. A boy at service earned the first week 9 shillings, the second week 11 shillings, and the third week 12 shillings how much money had he?

22. A lady gave 15 dollars for a bonnet, 20 dollars for a silk dress, and 12 dollars for other articles ; what was the amount of her bill

23. In one school room are 30 scholars, in another 20, and in another 50; how many in all ?

24. My shoes cost me 2 dollars, my books 5, my hat 5, my cloak 20, and my other garments 10; what are they all worth?

25. The distance from Bradford to Salem is 22 miles, from Salem to Marblehead 4 miles; what is the whole distance?

26. From Lowell to Haverhill is 20 miles, from Haverhill to Newburyport is 14 miles ; what is the whole distance?

27. A boy has 15 cents in each of his two pockets, and 5 in each hand; how many has he?

28. A girl gave 17 cents for cherries, 5 for apples, and 7 for peaches; what did they all cost?

29. A man gave 11 dollars for a plough, 15 dollars for a cart, 5 dollars for a wheelbarrow, and 10 dollars for a wagon ; what did they all cost?

30. Å butcher gave 12 dollars for an ox, 9 dollars for a cow, and 7 dollars for three pigs; what did they all cost?

31. A farmer has 25 apple trees, 10 pear trees, and 15 peach trees ; how many in all?

32. A merchant receives 18 barrels of flour by one vessel, 12 by another, and 12 by another; how many has he?

33. A boy at one time lost 7 marbles, at another 5, at another 8, at another 12 ; how many has he lost?

34. Thomas gave 17 cents for a whip, 13 cents for a top, 12 for a knife, and 10 for marbles ; how much did he lay out?

35. Gave 60 dollars for a horse, 30 for a wagon ; what did they both cost?

36. A boy at a Sabbath school committed at one lesson 25 verses, at another 15 verses, at another 20 verses ; how many did he commit in all ?

37. I owe a merchant 7 dollars for sugar, 5 dollars for coffee, 17 for flour, 3 dollars for tea, and 2 dollars for salt; what is the whole sum due?

38. A laborer worked 9 days for one man, 11 days for another, 7 for another, 6 for another, 10 for another, and 3 for another; how many days has he labored?

Let the pupil perform the last 10 questions on his slate, and hence notice, that

Addition is the collecting of numbers together to find their

sum.

RULE.

Write units under units, tens under tens, &c. Then add upwards the units, and find how many tens are contained in their sum. Write down directly below what remains more than those tens ; or, if nothing remains, write down a cipher and carry as many units to the next column, as there are tens. Then add up the second column together with the number carried, in the same manner as before. Proceed in this way, till the whole is finished, writing down the total amount in the last column.

PROOF.

Begin at the top, and add together all the columns of numbers downwards, in the same manner, as they were before added upwards; then if the two sums agree, the work is right.

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13. Add the following numbers, 763, 4663, 37, 49763, 6178, and 671.

Ans. 62075. 14. A butcher sold to A 369 lbs. of beef, to B 169 lbs., to C 861 lbs., to D 901 lbs., to E 71 lbs., and to F 8716 lbs.; what did they all receive?

Ans. 11087 lbs. 15. A owes to one creditor 596 dollars, to another 3961, to another 581, to another 6116, to another 469, to another 506, to another 69381, and to another 1261. What does he owe them all?

Ans. $ 82871. 16. If a boy earn 17 cents a day, how much will he earn in a week?

Ans. 119 cts. 17. If a man's wages be 19 dollars per month, what are they per year?

Ans. $ 228. 18. If a boy receive a present every new year's day of 1783 dollars, how much money will he possess, when he is 21 years old?

Ans. $ 37443. 19. How many inhabitants are there in Essex county? Haverhill having 3912, Bradford 1856, Methuen 2011, Andover 4540, Boxford 937, Newburyport 6338, Newbury 3603, West Newbury 1586, Rowley 2044, Ipswich 2951, Danvers 4228,

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