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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

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 ; tho 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 7 64 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 = 1 thousand 9 hundred; the whole of which is set down. Hence the propriety of the following

RULE.

Write units under units, tens under tens, fc. 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.

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21.

20. 895 676 3 2 5 678 1 2 3 4 5 6 7 8 9 0 1 2 8 7 6 5 4 3 2 10988 7 8 9 0 1 2 3 4 5 6 7 8 21098 7 6 5 4 3 2 2 78901234 5 6 7 9 4 5 6 7 8 9 0 1 2 3 4 5 543 2 1 098 7 6 5 5 3 4 5 6 7 8 9 0 1 2 3 4 6 5 4 3 2 10987 6 6 104323 67 4 3 2 2 210987 6 5 4 3 2 1

2 3 4 5 6 7 891 2 3 4 67890123 4 5 6 7 321098765433 456789012345 543210987 6 5 5 7890 1 2 3 4 5 6 7 8 21098 7 6 5 4 3 2 2 78901 2 3 4 5 6 7 8 21 0987 6 5 4 3 2 2 3 4 5 6 7 8 9 0 1 2 3 4 6 5 4 3 2 1 0987 66 7 6 5 4 3 2 1 087 6 5

22. What is the sum of the following numbers, 183, 765, 838, 375, 857, and 431 ?

Ans. 3449. 23. Add the following numbers, 3791, 83, 71678, 96, 786, 4711, and 99.

Ans. 81244. 24. Gave 73 dollars for a watch, 15 dollars for a cane,

119 dollars for a horse, 376 dollars for a carriage, and 7689 dollars for a house. How much did they all cost ?

Ans. 8272 dollars. 25. In an orchard, 15 trees bear plums, 73 trees bear apples, 29 trees bear pears, and 14 trees bear cherries ; how many trees are there in the orchard ?

Ans. 131 trees. 26. The hind quarters of an ox weighed 375 pounds each ; the fore quarters 315 pounds each ; the hide weighed 96 pounds, and the tallow 87 pounds. What was the whole weight of the ox ?

Ans. 1563 pounds. 27. A man bought a farm for 1728 dollars, and sold it so as to gain 375 dollars ; how much did he sell it for?

Ans. 2103 dollars. 28. A merchant bought five pieces of cloth. For the first he gave 376 dollars ; for the second 198 dollars ; for the third 896 dollars ; for the fourth 691 dollars ; for the fifth 96 dollars. How much did he give for the whole ?

Ans. 2257 dollars. 29. A merchant bought five hogsheads of molasses for 375 dollars, and sold it so as to gain 25 dollars on each hogshead; for how much did he sell it ? Ans. 50 dollars. 30. John Smith's farm is worth 7896 dollars ; he has bank stock valued at 369 dollars ; and he has in cash 850 dollars. What is he worth ?

Ans. 9115 dollars. 31. Required the number of inhabitants in the New England States, there being in Maine 501,793 ; in New Hampshire 284,574 ; in Massachusetts 737,699 ; in Rhode Island 108,830 ; in Connecticut 309,978; in Vermont 291,948.

Ans. 2,234,822. 32. Required the number of inhabitants in the Middle States, there being in New York 2,428,921 ; in New Jersey 373,306 ; in Pennsylvania 1,724,033 ; in Delaware 78,085; in Maryland 469,232. Ans. 5,073,577. 33. Required the number of persons in the Southern States, there being in Virginia 1,239,797 ; in North Carolina 753,419; in South Carolina 594,398 ; in Georgia

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