2. Find the number of pounds of cheese in 175 cheeses that weigh 40 pounds each.

3. Find the weight of 126 bales of cotton, if the average weight of a bale is 500 pounds.

4. At the bank a boy saw 18 bags, each of which contained $5000 in gold coin. Find the value of the gold in all the bags. 5. A grocer bought 185 cases of eggs. Each case contained 30 dozen. How many dozen eggs did he buy?

6. A coffee plantation of 62 acres contained 500 trees to the Find the whole number of coffee trees.

acre.

7. Find the value of 219 Angora goats at $5.75 a head.

8. The clip from a flock of Angora goats was 847 pounds of mohair. Find its value at $.35 per pound.

Find

9. The material for a dress was 14 yards of mohair and cost $1.25 per yard. Making and trimmings cost $18.75. the cost of the dress.

10. An upholsterer bought 75 yards of mohair plush at $1.50 per yard. Find the cost.

11. How much must a harness maker pay for 36 mohair carriage robes at $22 each?

12. How much will it cost to drill a gas well to a depth of 1125 feet at $1.05 per foot?

13. A cargo of lemons from Sicily consisted of 25,000 boxes each weighing 92 pounds. Find the weight of the cargo.

14. A jobber bought 225 boxes of lemons at $2.85 a box. Find the cost of his purchase.

How much will it cost to send a message by cable from 15. New York to London, 15 words at $.25 per word? 16. New York to Tokyo, 18 words at $1.33 per word? 17. New York to Manila, 24 words at $1.12 per word? 18. New York to Constantinople, 88 words at $.37 per word?

PROG. COMPL. AR.-4

DIVISION

67. 1. How many times does 150 contain 15? How many times does 152 contain 15, and how many units remain?

How many units

2. Separate 150 units into 10 equal parts. How are there in each part?

3. If 155 is separated into 10 equal parts, how many units and parts of a unit will there be in each part?

68. The process of finding how many times one number is contained in another is called division.

Division is also the process of separating a number into equal parts. This kind of division is sometimes called partition.

69. The number divided is called the dividend.

70. The number by which we divide is called the divisor. 71. The number obtained by dividing is called the quotient. 72. The part of the dividend remaining when the division is not exact is called the remainder.

74. 1. $36 may be divided by $4, but not by 4 years, 4 gallons, 4 pounds, etc.

The dividend and divisor, if concrete, must be like numbers.

2. Divide $36 by $4; 60 gal. by 12 gal.; 42 days by 7 days; 56 in. by 8 in.

When the divisor is like the dividend, the quotient is abstract. 3. Divide $96 by 12; 72 hr. by 8; 81 by 9.

When the dividend is concrete and the divisor is abstract, the quotient is like the dividend.

means that 21 days contains 7 days 3 times.

21 days ÷ 3 = 7 days

means that of 21 days is 7 days.

The sign

may denote either measuring or dividing into

parts, but in either case it is read "divided by."

11. How many weeks are there in 365 days?

NOTE. Consult the tables in the Appendix, if necessary.

=

12. How many pounds are there in 160 ounces?

13. How many yards are there in 34 feet?

14. A box contains 126 oranges. How many dozen oranges does it contain?

15. If 45 cents is divided among 3 boys, how many cents will each boy receive?

16. If an 18-acre field yields 36 tons of clover, how many tons per acre does it yield?

17. How many times does the hour hand of a clock go around the clock face in 72 hours?

18. How many bushels are there in 50 pecks?

19. If a motor car runs 12 miles an hour, how long will it take to run 100 miles?

20. Four boys weigh 283 pounds. Find the average weight. 21. A famous cherry tree in California yielded, in five years, 2000 lb., 1800 lb., 3000 lb., 2200 lb., and 3000 lb. of cherries. Find the average annual yield.

EXERCISES

$22

76. The expressions $22 ÷ $5, $ 5)$ 22, and all indicate

that $22 is to be divided by $5.

The answer should be given in the form:

$5

78. 1. Divide 20, 60, 210, 350, 600, and 7000 by 10.

How may an integer ending in one or more ciphers be divided by 10?

2. Divide 300, 800, 1100, 2500, and 16,000 by 100.

How may an integer ending in two or more ciphers be divided by 100?

3. Divide 11,000, 225,000, and 3,000,000 by 1000. Make a rule about dividing certain integers by 1000.

4. Divide 5762 by 10; by 100; by 1000.

What is the remainder in each case?

An integer may be divided by 10, 100, 1000, etc., by cutting off as many figures from the right as there are ciphers on the right of the divisor. The figures cut off form the remainder if there is any.