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FOR THE SLATE

OPERATION

Acres.

1. I þave 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 = 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.

[blocks in formation]

217

2 7 5

1766

25 1 2

9.

10.

11.

12.

8. 876 376 715 678 910

123 478 716 478 127

471 617 871 317 899

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

1922

15.

16.

71123 4 5 6 7 8 34 6 80 5 6 777 67812 71444

987 6 5 1 2 3 4 5 67111 33333 71345 99999

18.

19.

789 5 6 7 7613

761 123123 700 71

475

37 1378956 700714

36 76 117 4611779

789 567 743 4 35 678

35 55

3212

13.

14.

78956
376 67
1 2 3 4 5
67890
78999
13579

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

289436

35 4409

17.

17875897 71675 12 8 7 6 5 67 987 65 7896 789 78 7

1069 374176

917 1 1317 6 5

20.

21.

895 67 632 5 678 1 2 3 4 5 6789012 8 7 6 5 4 3 2 1 0988 78901234 5 6 7 8 2 1098 7 6 5 4 3 2 2 78901234 5 6 79 4 5 6 789012345 5 4 3 2 1 0987655 3 4 5 6 7 8 9 0 1 2 3 4 6 5 4 3 2 1 0987 66 1043 23 67 4 3 2 2 210987 6 5 4 3 2 1

2 3 4 5 6 7891 2 3 4 678901234567 3 2 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 210987654322 78901234 5 6 7 8 2 1 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 65

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. 500 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 694,398 ; in Georgia

691,392 ; in Alabama 590,756 ; in Mississippi 375,651 ; in Louisiana 352,411.

Ans. 4,597,824. 34. How many inhabitants in the Western States, there being in Tennessee 829,210 ; in Kentucky 779,828 ; in Ohio 1,519,467 ; in Indiana 685,866 ; in Illinois 476,183 ; in Missouri 383,702 ; in Arkansas 97,574 ; in Michigan 212,267 ?

Ans. 4,984,097. 35. How many inhabitants in the following Territories and the District of Columbia, there being in Florida 54,477 ; in Wisconsin 30,945 ; in Iowa 43,112 ; and in the District of Columbia 43,712 ? Ans. 172,246. 36. How many are the inhabitants of the United States, there being in New England 2,234,822 ; in the Middle States 5,073,577 ; in the Southern States 4,597,824 ; in the Western States 4,984,097 ; in the Territories 172,246 ?

Ans. 17,062,566.

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Section 3.

SUBTRACTION.

MENTAL OPERATIONS.

1. James has three dollars, and John has two dollars ;
how many has James more than John ?
2. Thomas had five oranges, he gives two to John ; how
many has he left ?
3. Peter had six marbles, he gives two to Samuel ;

how
many has he left ?
4. Lydia had four cakes, having lost one ; how many

has she left ?
5. Daniel having eight cents, he gives three to Mary ;

how many has he left ?
6. Benjamin had ten nuts, he gives four to Jane, and

three to Emily ; how many has he left ?
7. Moses gives eleven oranges to John, and eight to
Enoch ; how many more has John than Enoch ?
8. Agreed to labor for a man twelve days ? how many
remain, after I have been with him five days ?

B
*

9. I owed Thomas nine dollars, and having paid him seven ; how many remain due ? 10. From ten dollars, I paid four dollars and three dol

lars ; how much have I left ? 11. Timothy had eleven marbles, he lost seven ; how many had he left ? 12. John is thirteen years old, and his brother Thomas

is seven ; how much older is John than Thomas ? 13. From 15 dollars, I paid five ; how many have I

left? 14. Sold a barrel of flour for eight dollars, and a bushel of wheat for two dollars ; what was the difference in the prices ? 15. Paid seven dollars for a pair of boots, and two dollars for shoes ; how much did the boots cost more than the shoes ? 16. How many are 4 less 2 ? 4 less 1 ? 4 less 4 ? 17. How many are 4 less 3 ? 5 less 1 ? 5 less 5 ? 18. How many are 5 less 2 ? 5 less 3 ? 19. How many are 6 less 1 ? 6 less 2 ? 6 less 4 ? 6

less 5 ? 20. How many are 7 less 2 ? 7 less 3 ? 7 less 4 ? 7

less 6 ? 21. How many are 8 less 6 ? 8 less 5 ? 8 less 2 ? 8

less 4 ? 8 less 1 ? 22. How many are 9 less 2 ? 9 less 4 ? 9 less 5 ? 9

less 7 ? 9 less 3 ? 23. How many are 10 less 8? 10 less 7 ? 10 less 5 ?

10 less 3 ? 10 less 1 ? 24. How many are 11 less 9 ? 11 less 7 ? 11 less 5 ?

11 less 3 ? 11 less 4 ? 25. How many are 12 less 10 ? 12 less 8 ? 12 less 6 ?

12 less 4 ? 12 less 7 ? 26. How many are 13 less 11 ? 13 less 10 ? 13 less 7 ?

13 less 9 ? 13 less 5 ? 27. How many are 14 less 11 ? 14 less 9 ? 14 less 8 ?

14 less 6 ? 14 less 7 ? 14 less 3 ? 28. How many are 15 less 2 ? 15 less 4 ? 15 less 5 ?

15 less 7 ? 15 less 9 ? 15 less 13 ? 29. How many are 16 less 3 ? 16 less 4 ? 16 less 7 16 less 9 ? 16 less 11 ? 16 less 15 ?

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