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18. A drover sold 564 cattle to one dealer, 785 to a second, 546 to a third, 764 to a fourth, and to a fifth as many as he sold to the first and second together : how many cattle did he sell to the five dealers ? 19. The

crop of this country in 1882 812,771,000 bushels; in 1883, 852,666,000; and in 1884, 1,297,000,000: what was the yield during the three years ?

20. Mr. Thompson gave $1.25 to William, $1.36 to Mary, as much to Susan as he gave to William and Mary, and as much to George as he gave to William, Mary, and Susan : how much money did he give to all ?

21. Five men formed a partnership. A furnished $3,254 ; B, $2,848 ; C, $1,865 ; D, $1,080; and E, $1,590 : what was the amount of their capital ?

22. The prices received for four farms were : for the first, $8,350; for the second, $9,875; for the third, $9,240; and for the fourth, $10,350 : what was the amount received for all ?

23. A gentleman owns a house worth $9,200, a store worth $4,800, and a farm worth $11,250 : how much are the three worth?

24. A man owing a debt paid $393 at one time, at another $417, at another $319, at another $211, and there was $419 still unpaid : what was the amount of the debt ?

25. Mr. B. owns a house worth $11,250, a store worth $6,300, a lot worth $4,200, and has $12,500 personal property: how much is he worth?

26. A man left to his wife $12,500, to each of his three sons $15,200, and to each of his two daughters $8,500 : how much did he leave to all ?

27. Illustrate by an original problem addition of numbers.

Subtraction.

Progressive Oral and Written Drills.

SUGGESTION.-Subtraction is the process of finding the difference between two numbers. Take 2 from 5, 8, 11 ; 10, 4, 7; 3, 6, 9 respectively.

SLATE AND BLACKBOARD EXERCISES. From 5 8 11 4 10 ny 3 6 9 2 Take 2 2 2 2 2 2 2 2 2

From
Take

4268
2122

774684
12212

6834246756
2221222112

REMARK.—Dictate one figure at a time to be written in line. SUGGESTION.—Take 3 from 5, 8, 11; 10, 4, 7; 12, 5, 6 respectively.

SLATE AND BLACKBOARD EXERCISES. From 5 8 11 10 4

9 6 Take 3 3 3 3 3 3 3 3 3

12

3
3

From
Take

7643
3213

98675
31323

9746543687
3323133233

SUGGESTION.—Take 4 from 5, 8, 12; 11, 9, 6; 7, 10, 13 respectively.

SLATE AND BLACKBOARD EXERCISES. From 5 8 12 11 9 6 ng 10 13 Take 4 4 4 4 4 4 4 4 4

4 4

From Take

4874 4234

68797
42434

8745867498
3243423434

SUGGESTION.-Take 5 from 7, 13, 6; 11, 14, 9; 8, 12, 10 respectively,

SLATE AND BLACKBOARD EXERCISES. From my 10 6 11 14 10 18 13 9 Take

5 5 5 5 5 5 5 5 5

5 5

From
Take

17402434643
4435245345

9164506474
3554155445

E For explanation, see Article 46.
SUGGESTION.—Take 6 from 12, 15, 8; 10, 14, 7; 13, 9, 11 respectively

SLATE AND BLACKBOARD EXERCISES. From 12 15 8 10 14 ry 13 9 11 Take 6 6 6 6 6 6 6 6 6

6 6

From
Take

9064874654
5646616556

8402648735
5466366556

SUGGESTION.-Subtract 7 from 12, 15, 9; 11, 14, 10; 8, 13, 16 respectively.

SLATE AND BLACKBOARD EXERCISES.
From 12

9
11

14 10 13 16 Take ry r ng 명 ny ny

7

15

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SUGGESTION.-Subtract 8 from 12, 15, 10; 17, 11, 14; 9, 13, 16 respectively.

SLATE AND BLACKBOARD EXERCISES. From 12 15 10 17 11 14 9 13 16 8 Take 8 8 8 8 8 8 8 8 8 8

From
Take

9482716387
17878685878

8741087647
7665867678

SUGGESTION.-Subtract 9 from 11, 14, 17; 10, 13, 16; 12, 15, 18 respectively.

SLATE AND BLACKBOARD EXERCISES. From 11 14 17 10 13 16 12

18

9 Take 9 9 9 9 9 9 9 9 9 9

15

From
Take

9876543210
9687938789

1234567890
989489889

These inductive exercises are reviews of the facts of subtraction. The pupil should name results without giving an analysis of his process.

INDUCTIVE EXERCISES.

ART. 38.—1. Mary had 6 pins and lost 2: how many pins had she left ?

2. A grocer had y barrels of flour and sold 4: how many remained ?

3. John bought 6 cakes and ate 3 : how many were left ?

4. If Samuel earns $10 a month and saves $5, how many dollars does he spend each month?

5. If y birds were on a limb and 4 flew away, how many remained ?

6. Sarah having 10 cents, gave 5 for a lead pencil : how many cents had she left ?

7. Maria had 9 peaches and gave her father 7: how many peaches had she left ?

8. If Richard is 11 years old and his brother is 4 years younger, what is the age of his brother ?

9. From a class of 11 pupils, y went out to play: how many remained in the class ?

10. There were 12 boys in one class and 9 in another : how many more were in the first than in the second class ?

11. Henry had 11 marbles and lost 7: how many had he left ?

12. George wrote 13 lines in his copy book, and Harry wrote 8 less : how many lines did Harry write ?

13. Jennie had 15 chicks, and 6 of them died : how many had she left ?

14. John bought 14 eggs and broke 8: how many were left ?

15. From a piece of cloth containing 16 yards, 8 yards were cut for a suit : how many yards remained ?

16. Julia having 13 cents, gave a beggar 10: how much had she left ?

17. Alfred picked 11 pears and gave away 9: how many pears had he left ?

18. A man paid $4 for a hat: how much change should he receive from a ten-dollar bill ?

19. Wilson had 16 pigeons and sold 9: how many remained ?

20. Warren had 18 cents and spent 10 for candy: how much had he left ?

21. If I had 14 books and sold 11, how many were left ?

22. A watch was bought for $14 and sold for $9 : how much was the loss ?

23. From a class numbering 18 pupils, 10 were absent: how many pupils were present ?

24. Albert gave $12 for a donkey and sold it for $17: how much was the gain ?

25. From a cask of cider containing 17 gallons, 13 leaked away : how many gallons were left ?

26. Two hunters fired into a flock of 14 birds and killed 9: how many escaped ?

27. A hen had 18 chicks and a rat killed y of them : how many were left ?

28. There were 19 passengers in a street car and 11 got out: how many remained ?

29. Twenty words were given to Thomas and he missed y : how many did he spell correctly?

30. A farmer had 20 cows and sold 18: how many did he keep?

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