CHAPTER XIII. THE line at the right of this page is divided into two equal parts. 1. What part of the whole line is the heavy part of the line? The line at the right is divided into three equal parts. 2. What part of the whole line is the heavy part of the line? Two parts of this line is what part of the whole line? The line at the right is divided into four equal parts. 3. What part of the whole line is the heavy part of the line? Two parts of this line is what part of the whole line? Three parts? What is the difference between two fourths and one half of this line? 4. Into what parts is the line at the right divided? What do you call one of these parts? Two? Three ? Four? Five? 5. How many halves make a whole one? How many thirds? How many fourths? How many fifths? The names of the parts of the lines above are 2 3 written, 1, 3, 1, 4, 4, 1, 2, 3, 1, 8. These expressions,,, etc., are called fractions, and are read, one divided by two, or one half; one divided by three, or one third, and so on. The fraction is read, four divided by ten, or one tenth of four, or four tenths. Read the following exercises: Another way of writing is 0.4. (Notice the period at the left of the four.) This is called a decimal fraction, or simply a decimal. Read the following: 0.4 0.6 0.3 0.9 0.1 0.5 0.8 0.2 In place of the 0 at the left of the point we may have any other number. Thus 3.5, which is read: three, and five tenths. Read the following exercises: CHAPTER XIV. 1. How much is 0.3 (%) of $20? 0.4? 0.6? 0.9? 0.5? 0.7? 0.2? 0.8? 2. A man having 10 cows sold 0.4 of them. How many did he keep? 3. Henry rode 3 hours at the rate of 10 miles an hour, and Frederic rode 0.6 as many miles in an hour. How many hours did it take Frederic to ride as far as Henry rode in 3 hours? 4. How much is one half of 10? 0.5 of 10? 5. A man paid 0.7 of $60 for coal. At $6 a ton how many tons did he buy? 6. Take 12, add 8, multiply by 2, divide by 10, multiply by 5, add 5, divide by 5, multiply by 6. What is 0.8 of the result? 7. If 12 men do a piece of work in 6 days, in how many days can 6 men do the same piece of work? 8. Mary having 65 cents bought a dozen pencils and had 5 cents left. What did she pay for each pencil? 9. A dealer bought oranges at 25 cents a dozen, and sold them at 3 cents apiece. What is his profit on 5 dozen oranges? 0.6 of his profit? 10. What is one half of 0.4 of 30? 11. If I pay $20 for 10 yards of cloth, what is the price of 0.8 as many yards? 12. What is 0.5 of the sum of 9 and 31? 13. To 0.7 of 50 add by 4, add 4, divide by 7. 14. Frank had half a 1, divide by 6, multiply What is half the result? dollar and paid 0.6 of it for a bat. What did he pay for the bat? 15. From the sum of 38 and 7, take the difference between 62 and 54. 16. A grocer bought apples at $1 a bushel and sold them at 35 cents a peck. What was his profit on a peck of apples? 17. If a man earns $3 a day, how many days must he work to earn $27? 18. If a horse travels 48 miles in 6 hours, how far does he average an hour? In a 19. What cost 9 barrels of flour at $6 a barrel ? 20. There are 24 hours in a day. How many hours in half a day? In a third of a day? fourth of a day? In a sixth of a day? eighth of a day? In a twelfth of a day? In an How 21. There are 60 minutes in an hour. many minutes in 0.2 of an hour? In 0.5 of an hour? 22. If eight boxes of butter weigh 40 pounds, what is their average weight? |