26. In the first story of a house, the hall contained 117 square feet, the parlor 327, the sitting-room 296, the diningroom 257. How many square feet of carpeting would be required to cover the floors of these rooms?

27. In 1870, the population of Buffalo was 117,714; that of Rochester, 62,386; that of Albany, 69,422; that of Brooklyn, 396,099. How many inhabitants did these four cities contain?

28. The area of Spain is 195,773 square miles; that of France, 204,091; that of Switzerland, 15,922; that of Italy, 112,622. Over how many square miles do the four countries

extend?

29. A speculator bought five lots for $1,375 each. He sold the first for $125 more than cost, the second for $319 more than cost, the third for $291 more than cost, the fourth for $739 more than cost, and the fifth for $135 more than cost. How much money did he receive for all?

30. The State of Alabama contains 1,430 libraries and 576,882 volumes; Mississippi, 2,788 libraries and 488,482 volumes; Louisiana, 2,332 libraries and 847,406 volumes; Texas, 455 libraries and 87,111 volumes. How many libraries and how many volumes do the four States contain?

31. The population of five of the principal cities of Ohio was in 1870 as follows: Cincinnati, 216,239; Cleveland, 92,829; Toledo, 31,584; Columbus, 31,274; Dayton, 30,473. What was the entire population of these cities in 1870?

32. The population of five of the principal cities of Illinois was in 1870 as follows: Chicago, 298,977; Quincy, 24,025; Peoria, 22,849; Springfield, 17,364; Bloomington, 14,590. What was the entire population of these cities at that time?

33. In 1870, the population of St. Louis, Mo., was 310,864; Memphis, Tenn., 40,226; Charleston, S. C., 48,956; Richmond, Va., 51,038; New Orleans, La., 191,418. What was the entire population of these cities at that time?

34. The Warsaw Manufacturing Company sawed 11,936 feet of pine on Monday, 12,117 feet of hemlock on Tuesday, 8,135 feet of maple on Wednesday, and 9,963 feet of ash on Thursday. How many feet of timber did they saw in the four days?

35. According to the census of 1870, the number of native Americans in Nebraska was 92,245; the number of Irish, 4,999; of Germans, 10,954; of English, 3,602; of Scotch, 792; of Canadians, 2,632; of French, 340; of Norwegians, 506; of Swedes, 2,352. What was the total population of the State in 1870?

36. In a certain State there were raised, last year, 7,771,009 bushels of potatoes, 278,798 bushels of wheat, 1,089,888 bushels of Indian corn, 2,351,354 bushels of oats, 658,816 bushels of barley. What was the entire number of bushels of farm products raised that year?

37. Mr. George Peabody gave to the poor of London $2,250,000, to the town of Danvers $60,000, to the Grinnell Arctic Expedition $10,000, to the city of Baltimore $1,000,000, to Phillips' Academy $25,000, to the Massachusetts Historical Society $20,000, to Harvard College $150,000, to Yale College $150,000, to the Southwest $1,500,000. How much did this benevolent gentleman give away?

38. In 1870, there were, in the United States, 574 daily newspapers, with a circulation of 2,601,547; 107 tri-weeklies, with a circulation of 155,105; 115 semi-weeklies, with a circulation of 247,197; 4295 weeklies, with a circulation of 10,594,643; 96 semi-monthlies, with a circulation of 1,349,820; 622 monthlies, with a circulation of 5,650,843; 13 bi-monthlies, with a circulation of 31,650; 49 quarterlies, with a circulation of 211,670. How many periodicals were there in the United States during that year, and what was their entire circulation?

39. Mr. A. deposited in the First National Bank of Albany, N. Y., on July 3, 1877, $395.25; on July 5, $874.75; on July 8, $325.85. He also deposited in the National Park Bank of New York City, on July 12, 1877, $1,546.87; on July 16, $1,275; on July 20, $1,985.50. How much did he deposit in each of the banks? How much in both banks?

SUBTRACTION

INDUCTIVE EXERCISES.

55. 1. If I have 6 peaches and give away 3 of them, how many will be left?

how

2. If James has 4 bunches of grapes and eats 2 of them, many will be left?

3. If I have 7 bunches of grapes and give away 4 of them, how many will be left?

4. If you find 8 acorns and lose 4 of them, how many will be left?

5. How many are left when 4 things are taken from 8 things? How many are 8 less 4? 7 less 4? 5 less 4? 9

less 4? 6 less 4?

6. A farmer who had 7 horses, sold 3 of them. How many had he left? How many are 7 less 3? 9 less 3? 7. James earned, during the summer, $9. of the money for a coat, and the rest for a How much did the boots cost him?

He spent $5 pair of boots.

8. Nine is how many more than 5? Than 6? Than 4? Than 3?

9. A boy who had 9 chickens, sold 3 of them. How many had he left?

10. Lawrence had 10 pictures in his room. He gave his sister 3 of them. How many were left in his room?

11. A man earned $11 per week and spent $7. How much did he save weekly?

12. A hen had nine chickens, but 5 of them were killed. How many chickens were left? How many must be added to 5 to make 9?

13. When 5 is taken from 9, what number is left?

14. When 7 is taken from 10, what number remains? How many must be added to 7 to equal 10?

15. Howard is 10 years of age and Herbert is 8. What is the difference in their ages? What is the difference between 10 and 8?

16. If the difference between 10 and 8 be added to 8, what will the result be?

17. If the difference between any two numbers be added to the smaller number, to what will the result be equal? 、 18. What is the difference between 6 horses and 4 horses? Between 6 horses and 5 cents?

19. Why can you not find the difference between 6 horses and 5 cents?

20. Why can you find the difference between 6 horses and 4 horses?

21. Between what kinds of numbers only can the difference be found?

DEFINITIONS.

56. Subtraction is the process of taking one number from another.

57. The Minuend is the number from which another is to be subtracted.

58. The Subtrahend is the number to be subtracted.

59. The Remainder, or Difference, is the result obtained by subtracting.

60. The Sign of Subtraction is a short horizontal line: It is named minus.