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2. What is the sum of 2213, 1123, 3201, 2112?

3. What is the sum of:

1. 3210 +2136 + 3752 + 2331?

2.35615103 + 6385 + 5632?

3. 73,2503102 +16,287 +12107542? 4. 50,673 + 520 + 16,302 + 2531 + 7204? 5. 154,632 + 54,231 + 16,302 + 2120 + 8023? 4. Find the sum of:

(4.) (5.)

111 + 210 +

(6.)

735 = ?

141

=?

287 = ?

(1.) (2.) (3.) 1. 888 + 777 + 666 + 555 + 543 + 2. 444 333 + 222 + 3. 000999 +234 + 423 + 924 + 4. 578287 + 342 + 760 + 553 + 5. 504167 +359 +578751 +432 = ? 6. 105483 + 142 +263 +351 + 109 ?

Add the foregoing both vertically and horizontally.

765 = ?

==

=

5. What is the sum of 37 + 375 + 3754 + 37,546 + 64 +6454573+ 57,373?

6. Add $317.50, $610.10, $514.085, $6.16.

7. What is the sum of four hundred sixty-two, three thousand two hundred fourteen, seventy-nine thousand six hundred fifty-nine, two hundred eighty-four?

8. What is the sum of eighteen dollars and five cents, fiftyone dollars, fifty-one cents, ten dollars and ten cents, eighteen dollars and twenty-four cents, thirty-five dollars?

9. Write the following numbers with Arabic numerals and find their sum: DCCCCXXXVI., MDXVI, MMMMCCIV., CLIV., XCVII., CLXIX.

10. 468219,783 + 100+ 6402 +178+ 19 = ?

PROBLEMS.

Let the pupil first indicate the solution of each problem by using the signs, and=.

1. A. owns 345 sheep, B. owns 295, C. owns 436, and D. owns 524. How many sheep do all own?

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345

ANALYSIS.-There are four flocks of sheep: A.'s

295

436

= 345.

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524

1600

In each number the unit is 1 sheep; hence the numbers are like and may be added.

SYNTHESIS. 345 + 295 + 436 + 524 = 1600. Hence

all own 1600 sheep.

2. How many acres are in three fields, containing respectively 23 acres, 34 acres, and 38 acres?

3. A man bought a horse for $250, a carriage for $175, a harness for $74.50, a whip for $1.25, a carriage blanket for $3.45. What did he pay for all?

4. A. bought 7590 pounds of pea coal, 3765 pounds of nut coal, 6834 pounds of stove coal, and 2505 pounds of bituminous coal. How much coal did he purchase?

5. In a primary school there are 386 children in first grade, 258 in second grade, 237 in third grade, and 184 in fourth grade. How many pupils in the four grades?

6. Spain has an area of 195,773 square miles; France, 204,091; Switzerland, 15,922; Italy, 112,622. How great is the area of the four countries?

7. The battle-ship "Oregon" sailed from San Francisco to Callao, 4,012 miles; from Callao to Sandy Point, 2,666 miles; from Sandy Point to Rio, 2,228 miles; from Rio to Bahia, 745 miles; from Bahia to Barbadoes, 2550 miles; from Barbadoes to St. Thomas, 346 miles; from St. Thomas to Key West, 1040 miles. Find the total number of miles she sailed.

8. The monthly pay of a major-general in the United States army is $625; of a brigadier-general, $458.33; of a colonel, $291.67; of a lieutenant-colonel, $250; of a major, $208.33; of a captain, mounted, $166.67; of a captain, not mounted, $150; of a chaplain, $125. Find total monthly pay of the eight officers.

9. In 1897 the organized military strength of the State of New York was 13,894 men; of Pennsylvania, 8521; of Illinois, 6260; of Ohio, 6004; of Massachusetts, 5154; of New Jersey, 4297; of California, 3909; of Georgia, 4450; of South Carolina, 3127; of Texas, 3023. What was the entire military strength of the ten States in 1897 ?

10. In 1890 the population of Cincinnati was 216,239; of Cleveland, 92,829; of Toledo, 31,584; of Columbus, 31,274; of Dayton, 30,473. How many inhabitants had these cities altogether in 1890?

11. A merchant received money for goods as follows: On Monday, $357.15; on Tuesday, $463.87; on Wednesday, $279.19; on Thursday, $318.67; on Friday, $687.27; on Saturday, $348.48. Find the total receipts.

12. A builder bought a lot for $650, built upon it a house costing $5845, a barn and carriage-house costing $1075.50; he paid for fencing $215.75, for grading $87.50. For what must he sell the property to gain $640?

13. The provinces of Cuba, with the population of each,

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Find the total population of Cuba.

14. The land forces of Japan are as follows: infantry, fiftysix thousand thirty-seven; cavalry, VDCCLX; artillery, seven thousand 818; engineers and train, IVCCCXXVI. What is the total land force?

15. January has 31 days, February 28, March 31, April 30, May 31, June 30, July 31, August 31, September 30, October 31, November 30, December 31. How many days in a year?

16. If a school session closes on the 29th of June and opens again on the 10th of September, how many days' vacation will there be?

17. What are the expenses of a factory for a year, if the manager receives $1850, the engineer $850, the fireman $650, the bookkeeper $800, the fuel costs $1600, the raw material $111,110, and the pay-roll of the other employees amounts to $55,000?

18. Add 2, 6, 8, 7, 1, 2, 8, 5, 3, 2, 8, 9.

19. Add IV., VII., II., V., V., II., IX., VI., II., VIII., VII., V.

20. A capitalist made the following deposits in a bank: August 4, 1897, $484.50; August 7, $985.25; August 10, $436.75. In a second bank as follows: August 14, $2657.76;

August 18, $1386.25; August 22, $2096.65. How much did he deposit in each bank? How much in both banks?

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