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CASE II.

52. To add several columns.

1. Count by 10's from 7 to 107; thus, 7, 17, 27, 37, 47, etc.

2. Count by 10's from 5 to 95. From 9 to 79. 3. Count by 20's from 5 to 85. From 9 to 89.

4. Add 2 to each of the series of numbers 6, 16, 26, etc., to 76.

5. Add 3 to each of the series of numbers from 8, 18, · etc., to 88.

6. A gentleman paid $7 for a hat, $8 for a vest, and $13 for pantaloons. How much did he pay for all?

ANALYSIS.-Since he paid $7 for a hat, $8 for a vest, and $13 for pantaloons, for all he paid the sum of $7, $8, and $13, or $28. 7. James

gave

25 cents to his brother and 20 cents to his sister. How much did he give to both? 25 and 20 are how many?

8. Horace earned 35 cents on Monday, 20 cents on Tuesday, and 9 cents on Wednesday. How much did he earn during the three days? How many are 35 and 29?

9. William saw two flocks of wild geese; the first of 27 geese, the second of 23 (20+3). How many geese did he see? How many are 27 and 23?

10. Paid 9 cents for raisins, 15 cents for plums, and 27 (20+7) cents for currants. How much did all cost?

11. During a certain recitation 29 questions were answered correctly and 16 incorrectly. How many questions were asked? How many are 29 and 10? 39 and 6?

12. Add 2 to each of the numbers 2, 12, 22, 32, 42, etc., to 72.

13. Add 3 to each of the numbers 4, 14, 24, etc., to 94. 14. Add 4 to each of the numbers 9, 19, 29, 39, to 99.

ance.

15. Add each of the numbers 5, 6, 7, 8, and 9 to each of the numbers 6, 16, 26, etc., to 96. 16. A certain school had 40 girls and 30 boys in attend

How many pupils were there in the school? 17. A music teacher paid $12 for a metronome and $15 for music. How much did she

pay

for both? 18. A boy bought a velocipede for $15 and a watch for $20. How much did both cost him?

19. Mary read 20 pages of history one day, 30 pages the next, and 25 the next. How many pages did she read in all?

20. In a certain book-case there were 18 books on the upper shelf, 20 on the next, 12 on the next, and 10 on the lowest. How many books in the case?

21. A merchant sold 15 yards of cloth to one woman, 25 to another, 30 to another, and 25 to another. How many yards did he sell to them all?

22. A postmaster sold on one day 50 three-cent stamps, 65 on another, and 55 on another. How many stamps did he sell in the three days?

23. James solved 31 oral problems and 24 written problems. Harry solved 35 oral problems and 25 written problems. How many problems did each solve? How many did both solve?

24. In an orchard there are 26 cherry-trees and 31 appletrees. How many trees are there in the orchard?

25. Henry saw three flocks of wild ducks, the first containing 17 ducks, the second 25, and the third 30. How many ducks did he see?

26. James paid 28 cents for a slate, 20 cents for a writingbook, and 10 cents for ink. How much did he

pay

for all? 27. The month of January has 31 days, the month of February has 28 days, and the month of March has 31 days. How many days are there in these three months?

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28. How many acres are there in three fields, containing respectively 22 acres, 33 acres, and 37 acres?

WRITTEN EXERCISES.

PROCESS,

53. 1. What is the sum of $535, $213, and $384?

ANALYSIS. -For convenience we arrange the numbers to $535 be added so that units of the same order shall stand in the 213

same column. Beginning with the lowest order of units 384

we add each column separately. Thus, 4+3 +5=12,

the sum of the units. 12 units are equal to 1 ten and 2 $1132 units. We write 2 under the column of units and reserve

the 1 to add with the tens. 1 reserved +8+1+3=13, the sum of the tens. 13 tens are equal to 1 hundred and 3 tens. We write the 3 under the column of tens and reserve the 1 to add with the hundreds.

1 reserved + 3+2+5=11, the sum of the hundreds. 11 hundreds are equal to 1 thousand and 1 hundred, which we write in thousands' and hundreds' places in the sum.

Hence the sum is $1132.

1. In adding, name results only. Thus, instead of saying 4 and 3 are 7 and 5 åre 12, say 4, 7, 12.

2. When the sum of any column is exactly 10, 20, or any number of tens, we write 0 under the column added and reserve the 1, 2, 3, etc., to add with the next column.

54. RULE.—Arrange the numbers so that units of the same order shall stand in the same column.

Begin at the right, add each column separately, and write the sum, if it is less than ten, under the column added.

If the sum of any column be ten or more, write the unit figure only under that column and add the ten or tens with the next column.

Write the entire sum of the last column.
PROOF:— Add each column in the reverse order. If the re-

agree, the work is probably correct.

sults

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10. Add 4834, 3910, 4826, 8404.
11. Add 3159, 7816, 5459, 3568.
12. Add $16.05, $10.38, $77.055.
13. Add $317.50, $600.10, $514.085, $6.16.

14. What is the sum of thirty-six thousand, three hundred five; eight hundred ninety-seven thousand, nineteen ?

15. What is the sum of fifty-nine thousand; seven thousand, three hundred twelve; sixty-eight thousand, four hundred twenty-seven?

16. What is the sum of three hundred forty-four million, eight hundred ninety-six thousand, four hundred thirty-five; five million, six thousand, three; forty-eight thousand, two hundred ?

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

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

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19. A man sold his piano for $413, his collection of paintings for $536, his library for $719, his carpets for $728, other furniture for $1,736, his horses, carriage and two sets of harness for $1,324, and his house for $9,137. How much money did he obtain by the sale?

20. A fruit-dealer shipped for New York, 3,932 bushels of apples in one week, 2,436 in the next, 4,197 in the third, and, within the next month, 10,937 bushels.

What was the entire number of bushels shipped by him during that time?

21. A man making his will, left $3,450 to his wife, $2,675 to his oldest son, $1,850 to his second son, and $1,290 to his youngest son. What amount of money was bequeathed in his will?

22. A man owns five horses. The first is worth $225, the second $325, the third $450, the fourth as much as the second and third, and the fifth as much as the first and fourth. What is the value of the five horses?

23. A and B were building a brick store. The first day A laid 2,136 bricks, and the second day he laid as many as the first day plus 207. B, on the first day, laid 1,936, and, on the second day, 341 more than on the first. How many bricks were laid by both in the two days?

24. The distance from Greening to Chatfield is 277 miles, from Chatfield to Glendale is 325 miles, from Glendale to Wyoming is 139 miles, from Wyoming to Dale is 193 miles. By this route what is the distance from Greening to Dale?

25. A man took 2,126 steps going from home to his place of business, 3,197 while in his store, 6,239 going from there to the park, 5,782 while in the park, 8,573 going from there home. What was the whole number of steps taken by him from the time he left until he reentered his house?

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