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8. If I pay $797.22 for a house lot, and sell it for $889.41, how much do I make by the sale?

9. The distance between Boston and Providence is 39.849 miles. A traveller wishing to go from the former to the latter place, rode 29.937 miles, and walked the rest of the distance. How far did he

walk?

10. From 28.9 subtract 9.437. (Observe that 28.9 is the same as 28.900; the two Os denoting that there are no hundredths or thousandths.)

11. From a piece of broadcloth containing 19.5 yards, a tailor cut 8.775 yards. How much was left? 12. From a hogshead of molasses, which originally contained 97.7 gallons, 8.649 gallons had leaked out. How much remained?

13. The store of a merchant, valued at $9906.50, was destroyed by fire. An insurance company paid $6887.375. What was the owner's loss?

14. Thomas is 17 years old. In what year was he born?

15. A grocer purchased 298.8706 pounds of sugar. After selling 199.68 pounds, how much had he left.

16. If a horse cost $175.00, and the harness cost $86.75, how much more did the horse cost, than the harness?

17. A farmer purchased a house for $1064.28, agreeing to pay $973.195 in produce, and the rest in money. How much money must he pay ?

18. If I possess property worth $9309.00, and owe $3892.625, how much shall I be worth after my debts are paid?

19. A merchant sold oil for $962.37, gaining $109.364 by the sale. How much did the oil cost him?

20. How long is it since the discovery of America by Columbus, A. D. 1492?

21. How long is it since the first settlement of the United States, at Jamestown, in 1608?

22. How long is it since the Declaration of Independence by the United States, in 1776 ?

23. What number is 29.561 less than 48.7395? 24. 33.7 is 19.864 larger than what number?

25. If the difference between two numbers is 3.15, and the larger number is 5.069, what is the smaller number?

26. What is the difference between 87.9 and 78.89? 27. Subtract 76908.9 from 88319.76.

28. Subtract 18.44 from 1844.

29. If I purchase a chest of tea for $25.375, and sell it for $29.00, how much do I gain?

30. If a horse could run 9.77 miles in an hour, and a greyhound could run 13.024 miles in the same time, how much would the hound gain on the horse in one hour?

31. From 987095200, take 36996186.40091328.

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32. What is the difference between nine hundred and sixteen thousand nine hundred and four, tenthousandths, and eight hundred and seventy-four thousand and forty-nine - and three hundred and eighty-six thousand two hundred and forty-nine, tenmillionths?

13 from 73; 94 from 194; 34 from 78;

33. Subtract mentally, 17 from 37; 20 from 71; 41 from 62; 56 from 86; 11 from 91; 32 from 43; 50 from 70; 60 from 89; 38 from 88; 49 from 99; 25 from 55; 72 from 102; 33 from 84; 21 from 63; 16 from 87; 25 from 69. 34. Subtract mentally, 31 from 44; 22 from 74; 11 from 59; 40 from 83; 15 from 31; 29 from 86; 32 from 80; 26 from 41; 75 from 92; 35 from 94; 16 from 80; 28 from 76; 27 from 71; 39 from 91; 19 from 62; 14 from 80; 29 from 58.

27 from 70;

35. Subtract mentally, 78 from 91; 66 from 82; 15 from 90; 18 from 80; 18 from 87; 37 from 73; 57 from 75; 29 from 64; 48 from 92; 19 from 43; 87 from 152; 98 from 173; 77 from 154; 85 from 113; 78 from 135; 96 from 183; 86 from 124; 99 from 197; 66 from 165.

MISCELLANEOUS EXAMPLES.

1. A gentleman received $418.50 from one man, $362.75 from another, and $1198.875 from a third. From the sum he paid $597.638. How much had he left?

2. Add 16.99, 259.087, 664, and from the sum subtract 774.876.

3. A farmer who had 1984.65 bushels of wheat, sold 156.09 bushels to one man, 288.946 to another, and 476 to another. How much had he left?

4. 2976.3 and 484.95 and 2771, less 886.442, are how many?

5. A merchant deposits in a bank $1987.00 at one time, and $2411.75 at another. If he draws out $769.625, how much will remain in the bank?

6. Add 449, 164.4, 87, 6.91, and subtract 551.3 from their sum.

How

7. A flour dealer had 2864 barrels in store. much had he left, after selling 95 barrels to one man, 160 to another, 479 to another, and 1192 to another?

8. 4954 and 495.4 and 49.54 and 4.954, less .4954, are how many ?

9. Charles had 175 marbles. How many had he left, after giving 25 to William, 19 to George, 38 to Samuel, 49 to Peter, 41 to John, and losing 2?

10. 68 and 33.3 and 44.6 and 19.1 and 135, less 289, are how many?

11. A vessel starting on a voyage of 2987 miles, sailed 729.4 the first week, 697.31 the second, and 753.08 the third. How far had she still to go?

12. Add 28.37, 56.091, 6.288, and 190, and from this sum subtract 213.75.

13. A tailor charged $29.75 for a coat, $48.375 for a cloak, and $5.875 for a vest. For some defect in the making, he deducted $9.28 from the bill. What remained to be paid?

14. Add 9988, 776.6, 55.44, 3.322, and .1991, and subtract from the sum, 964.

15. What is the difference between 9940897.62884 and 13988437.07?

16. If the smaller of two numbers is 9.87654321, and their difference is 4.0977387, what is the larger number?

17. If the larger of two numbers is 26.0084009, and their difference is 17.974298364, what is the smaller number?

18. A hogshead of sugar contained 587.965 pounds. How much remained in the hogshead, after 16.0084 pounds had been sold to one man, 96.944 pounds to another, and 205.87 pounds to another?

19. 994876 and 994.876 and 6784.99 and 67849.9 less 2775083 are how many?

20. A man bought five barrels of flour, at $4.375 per barrel, and sold it at $4.50 per barrel. How much did he make by the bargain?

21. 89320.014 and 17828 and 435162.5, less 115403.99 and 27916 and 599.0808 are how many ?

22. A labourer receives $1.125 per day, and spends $0.64 per day, for the support of his family. How much will he save in a week? (Remember that he works but six days.)

23. Subtract 99087.043899 from 127563.

CHAPTER IV.

MULTIPLICATION.

EXAMPLE FOR THE BOARD.

If a barrel of flour costs $4.75, what will 4 barrels cost?

(1.) 4.75 (2.) 4.75 Multiplicand.

4.75

4.75

4.75

19.00

4 Multiplier.

19.00 Product.

The answer may be obtained as in (1), by addition. But as the same figures are repeated 4 times, the sum of each column may be readily found by multiplication, as in (2). We say, 4 times 5 hundredths are 20 hundredths, or 2 tenths and 0 hundredths; 4 times 7 tenths are 28 tenths, and 2 tenths to carry are 30 tenths, or 3 units and 0 tenths; 4 times 4 units are 16 units, and 3 units to carry are 19 units.

1. If a yard of broadcloth costs $6.83, what will 3 yards cost?

2. George, James and Nathan, have each 280 marbles; how many have they all ?

3. If a clerk receives $412.50 a year, how much will he receive in 4 years?

4. A farmer sold 5 sheep, at $3.56 apiece. What did he receive for them?

5. How much must I give for 6 tons of hay, at $9.65 a ton!

6. If a railroad train goes 15.8 miles an hour, how far will it go in 6 hours?

7. A man consumes 2.641 pounds of provisions a day. How much will he eat in a week?

8. What will be the expenses of a family for 8 weeks, at $6.375 a week?

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