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Section 2.

ADDITION.

a

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 ? 17. Paid five dollars for a barrel of four, and seven dol

lars 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 ? 12. How many are 3 and 3 ? 3 and 5 ? 3 and 7? 3

and 9 ? 13. How many are 4 and 3? 4 and 5 ? 4 and 8? 4

and 9 ? 14. How many are 5 and 3 ? 5 and 4 ? 5 and 7 ? 5

and 8? 5 and 9 ? 15. How many are 6 and 2 ? 6 and 4 ? 6 and 3? 6

and 5 ? 6 and 7 ? 6 and 9 ? 16. How many are 7 and 3 ? 7 and 5 ? 7 and 7 ? 7

and 6 ? 7 and 8? 7 and 9 ? 17. How many are 8 and 2? 8 and 4? 8 and 5 ? 8

and 7 ? 8 and 9 ? 8 and 8 ? 18. How many are 9 and 1 ? 9 and 3 ? 9 and 5 ? 9 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 4? 9 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

and 4 ? 9 and 6 ? 9 and 8? 9 and 9 ? 19. How many are 11 and 3 ? 11 and 2 ? 11 and 4 ? 11 and 6 ? 11 and 7 ? 11 and 9 ? 11 and 11 ? 11 and

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 ? ? 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 ?

[ocr errors]

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

FOR THE SLATE,

OPERATION.

Acres.

1. I have three lots of wild land; the first contains 246 acres, the second 764 acres, and the third 918 acres ; how many acres are there in the three lots ?

In this example, the units are first

added, and their sum is found to be 246 18; in 18 units, there are 1 ten and 764 8 units ; the 8 is written under the 918 column of units, and the 1 (ten) is car

ried to be added with the tens, which 1928 Ans. are found to be = - 1 hundred and 2

tens ; the 2 is written under the tens, and the 1 (hundred) is carried to the hundreds, which amount to 19 = l thousand 9 hundred; the whole of which is set down. Hence the propriety of the following

RULE.

Write units under units, tens under tens, f-c. Then add upwards the units, and if the amount be less than ten, set it down. If the amount be ten or more, write down the unit figure, and carry the tens to be added with the columns of tens. 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.

3.

2. 11 23 97 86

QUESTIONS FOR THE SLATE.
4.
5.

6.
47 127 678 789
87

396 971 478 58. 787 147 719 83 4 5 6 716 937

ny. 1769 7895 75 63 87 6 5

[blocks in formation]

17 6 6

2 5 1 2

10. 123 478 716 478 127

11. 471 617 871 317 899

12. 1 2 3 4 3 4 5 6 6 5 44 7891 87 66

1922

15. 71123 4 5 6 7 8 3 4 6 80 5 6777 67812 71444

16. 9 8 7 6 5 1 2 3 4 5 67111 33333 71345 99999

19.

18. 789567 7613

761 123123 70071

475

37 1378956 700714

367 76 117 4611779

8. 876 376 715 678 910

9. 789 5 67 743 435 678

35 5 5

32 12

13. 7 8 9 5 6 37 667 1 2 3 4 5 67890 78999 13 5 7 9

14. 71678 1 2 3 4 5 67890 3 4 5 6 7 89012 78917

289436

354409

17. 17875897 7167512 87 65 67 987 65 7896 789 78 7

1069 374176

9171 131 7 6 5

21.

20. 895 676 3 2 5 678 1 2 3 4 5 6 789012 8 7 6 5 4 3 2 1 0988 789 0 1 2 3 4 5 6 7 8 210987 6 5 4 3 2 2 789012345679 4 5 6789012345 5 4 3 2 1 098 7 6 5 5 3 4 5 6 78901234 654 3210987 66 1043 23 67 4 3 2 2 210987 6 5 4 3 2 1

2 3 4 5 6 7891234 67890123 4 5 6 7 32 1 098 7 6 5 4 33 4 5 6 7 8 9 0 1 2 3 4 5 543210987 6 5 5 7890 1 2 3 4 5 6 7 8 210987 6 5 4 3 2 2 7890 1 2 3 4 5 6 7 8 2 1 098 7 6 5 4 3 2 2 3 4 5 6 78901234 6 5 4 3 2 1 0987 66 7 6 5 4 3 2 1 087 6 5

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