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61. From these processes the following general method of multiplying is readily deduced:

1. The multiplier is written under the multiplicand, units under units, tens under tens, etc.

2. Each figure of the multiplicand is multiplied by each significant figure of the multiplier and the right-hand figure of each product is placed under the figure of the multiplier used to obtain it.

3. The sum of the partial products will be the entire product. When there is a cipher in the multiplier, multiply by the significant figures only, taking care to place the right-hand figure of each partial product under the figure used to obtain it.

[blocks in formation]

96. $48.27 by 584. 97. $39.35 by 376. 98. $73.86 by 705. 99. $85.18 by 835. 100. $49.66 by 597.

101. $543.79 by 3980.
$708.27 by 2900.

102.

103. $496.83 by 5805.
104. $385.76 by 3760.

105. $483.74 by 5736.

106. A manufacturer sold 29 reapers for $96.85 apiece. How much did he get for them?

107. A man walked 37 miles. How many feet did he walk, since there are 5280 feet in a mile?

108. A tract of land containing 294 acres was sold for $313 per acre. For how much did it sell?

109. It required 318 loads of bricks averaging 1387 bricks to build a school building. How many bricks was that? 110. A railroad employed 213 switchmen, whose wages averaged $78.34 per month. How much did all the switchmen receive per month?

111. A merchant sold 7 pieces of cloth, each containing 34 yards, for $2.17 per yard. How much did he receive for it?

112. The Danton Leather Co. each lot containing 384 hides. chase?

purchased 37 lots of hides, How many did they pur

113. A cloth dealer sold 54 pieces of cassimere, each containing 48 yards, at $1.87 per yard. How much did he receive for it?

114. A fire destroyed 345 gross of pencils. Since a gross is 144, how many pencils were destroyed?

115. In a day there are 1440 minutes. How many minutes are there in a year?

116. A farm of 95 acres was sold for $37.25 per acre. How much was received for it?

117. If your pulse beats 4320 times per hour, how many times will it beat in 2 days of 24 hours each?

118. The cost of building a railroad was $31,755 per mile.

If it was 118 miles long, how much did it cost to construct it?

119. A pump can pump 365,864 gallons per day. How many gallons can it pump in 31 days? 120. The expense of an army in Europe is, on the average, $195 per man. How much will it cost to keep an army of

32,596 men?

121. If a locomotive costs $19,325, how much will 23 such locomotives cost?

122. An army used 3285 barrels of flour each day for 49 days. How many barrels did it use altogether?

123. A shoe manufacturer in Massachusetts sold 23,876 pairs of shoes at an average price of $3.15 a pair. How much did he receive for them?

REVIEW.

ORAL EXERCISES.

62. 1. Henry bought 3 pencils at 3 cents apiece, and 5 postage stamps at 2 cents apiece. How much did he pay for all?

2. The wages of a clerk were $15 per week. If he paid $5 for board and $4 for other expenses, how much did he save in 5 weeks?

3. Nina spent 20 cents for a box of water-color paints, 5 cents for brushes, and had 10 cents left. How much money had she at first?

4. Two men travel in opposite directions from a startingpoint, one at the rate of 5 miles per hour, and the other at the rate of 4 miles per hour. How far apart are they at the end of 5 hours?

5. Mary counted the petals on 6 flowers. All but 2 of them had 6 petals each, and the others had 5 each. How many petals had they all?

6. Hannah was at school 6 hours per day for 4 days, and 3 hours on the other day. How many hours was she at school that week?

7. Warren had 5 hens and each hen had 7 chickens. many chickens were there?

How

8. A grocer sold 5 pounds of sugar at 5 cents a pound, and received in payment a fifty-cent piece. How much change should he give back.

9. Henry counted a company of soldiers in this way: he found that there were 8 rows of 9 men each and three officers. How many soldiers did he see?

10. Some children found 5 birds' nests containing 5 eggs each, and 4 nests containing 4 eggs each. How many eggs did they find?

11. A farmer sold 5 calves at $5 each, and 5 sheep at $4 each. How much did he receive for all?

12. Mary paid 10 cents for a dozen peaches, and 2 cents apiece for a dozen bananas. How much did they all cost her?

13. A boy worked 6 days for 5 dimes per day, but he spent 2 half-dimes for car fare each day. How much did he save?

14. Two brothers worked during the summer vacation of 10 weeks, one for $6 per week and the other for $3 per week. How much more did the one earn than the other in that time?

15. The pupils in a school were divided into 8 classes or grades, each containing 9 pupils. If every class contained 5 girls and 4 boys, how many boys were there in the school? How many girls? How many pupils?

16. A merchant employed 5 clerks at $8 per week, and 2 at $10 per week. How much did he pay them all per week?

17. The retail price of asparagus was 15 cents a bunch,

and the wholesale price was 12 cents. How much is a retail dealer's profit on 20 bunches which he bought at wholesale?

18. A hatter bought 12 hats at $4 apiece, and sold them at $6 apiece. How much did he gain?

19. A clothier sold overcoats at $12.50 which cost him $9.50. How much was his gain on 20 coats?

20. After paying $2 apiece for repairing clocks that cost $10 apiece, a man sold 12 of them for $144. Did he gain or lose by the sale, and how much?

WRITTEN EXERCISES.

63. 1. A bookkeeper received $75 per month for his services, but he spent in a year $680. How much did he save in a year?

2. A train composed of 23 cars, containing 145 sheep each, arrived at Boston and the sheep were sold at $5 a head. How much was received for them?

3. A boy had $350 when he was 15 years old, and he saved $100 per year until he was 21. How much had he then?

4. A manufacturer employed 118 workmen whose average wages per month were $68. How much did they all earn per month?

5. A drover bought 83 cattle at $37.25 per head. He sold 50 of them at $45 per head, and the rest at $35.25 per head. How much did he gain?

6. A tea merchant sold 348 pounds of tea at 57 cents per pound and gained $13.55. How much did it cost him?

7. A and B each began business with $4000. A gained $600 the first year and B lost an equal sum.

The second year A gained $318 and B gained $895. How much was each worth then?

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