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374 4 1st component part. 3 1st component part 1496
1122 6 2d component part. 8 2d component part. Ans. 8976
374 2 1st component part. 2 :st component part. 748
748. . 12 2d component part. 3 2d component part. 1496
i 4 3d component part. Ans. 8976
From the above examples, we see that it makes no dif. ference how we resolve the multiplier into factors, provided we multiply in succession by all the factors
What is a composite number? What are the component parts? How do you proceed when the multiplier is a composite number? Does it make any difference which component part we first multiply by ?
1. Suppose I buy 15 loads of bricks, each load contain ing 1250 bricks, how many bricks have I ?
Ans. 18750 bricks. 2. In an orchard there are 107 apple-trees, each produ cing 19 bushels of apples. How many bushels does the whole orchard yield ?
Ans. 2033 bushels. 3. If a person travel 17 days at the rate of 37 miles each day, how many miles will he travel in all ?
Ans. 629 miles. 4. If a person buy 175 barrels of salt, each weighing 304 pounds, how many pounds in all will he have ? "
Ans. 53200 pounds. 5. Suppose I purchase the following bill of merchandisex
3 Firkins of butter, each 15 dollars.
3 Boxes of lemons, each 5 dollars.
Ans. 363 dollars. 6. How many dollars will the following bill of goods amount to?
52 Yards of black broadcloth, at 4 dollars per yard. 40 Yards of Brussels carpeting, at 2 dollars per yard 2 Sofas, each 56 dollars.
9 Mahogany chairs, each 5 dollars.
Ans. 480 dollars.' 7. If the railroad extending between Albany and Buffalo, a distance of 326 miles, cost 25649 dollars per mile, what was the ertire cost ? Ans. 8361574 dollars.
8. How many bushels of potatoes may be produced from 13 acres of land, if each acre produces 212 bushels ?
Ans. 2756 bushels. 9. How much must be paid for constructing 18 miles of plank-road, at 4211 dollars per mile? Ans. 75798 dollars.
10. How much will 543 cords of wood cost, at 5 dollars per cord ?
Ans. 2715 dollars. 11. In one year there are 8766 hours, how many hours in 1848 years?
Ans. 16199568 hours. 12. In one cubic foot there are 1728 cubic inches, how many cubic inches in 17 cords of wood, each cord containing 128 cubic feet? Ans. 3760128 cubic inches.
13. What will 13 square miles of land cost, at 17 dollars per acre, there being 640 acres in one mile ?
Ans. 141440 dollars. 14. How many miles will a steam locomotive pass in 7 days of 24 hours each, if it move at the rate of 45 miles each hour ?
Ans. 7560 miles. 15. If the earth move in its orbit 68000 miles per hour, how far will it move in 365 days of 24 hours each ?:
Ans. 595680000 miles. 16. If one mile of railroad require 116 tons of iron, worth 63 dollars per ton, what will be the cost of sufficient iron lo construct a road of 78 miles in length ?
Ans. 479544 dollars. 17. In an orchard of 105 apple trees the average pro
duce of each tree is 7 barrels of fruit, worth 3 dollars per barrel. What was the income of the orchard ?
Ans. 2205 dollars.
DIVISION OF SIMPLE NUMBERS.
22. DIVISION teaches the method of finding how many times one number is contained in another.
The number to be divided is called the dividend.
The number of times which the dividend contains the divisor is called the quotient.
Besides these three parts there is sometimes a remainder, which is of the same name as the dividend, since it is a part of it.
The sign usually employed to indicate division is . Thus, 12 = 3, denotes that 12 is to be divided by 3.
By using this sign we may form the following
23. Division may also be represented by placing the Jivisor under the dividend, with a short horizontal line be (ween them ; thus, le denotes that 10 is to be divided by 2. In the same way we have
=12-2; 4=13-3; 4=17-5; b=53-7. This method is employed, when in division there is a remainder, to express accurately the value of the quocient.
What does division teach? What is the number to be divided called? What is the number by which we divide called? What is the number of mes which the dividend contains the divisor called ? There is sometimes another part, what is it? of what name is the remainder? What is the symbol of division ? By what other method is division denoted ?
When the divisor consists of only one figure, we proceed as follows:
Divide 973 by 7. Having placed the divisor at the 1 OPERATION. left of the dividend, keeping them
7)973 separate by means of a curved line, we draw a straight horizontal line 1
139 quotienta underneath.