ent of 86 miles divided by 2. Story.** iles. This means, find how many times 3 miles are contained in 154 miles. alves.) Story-A canal boat moved at the rate move 154 miles would require hours. This means, find 1 third of 165 miles. Story-A train moved 165 miles in 3 hours; miles an hour. (b Multi 346 3 By m see that h on the rig +The hould be ing the ten This (a) Multiply $374 by .3. This means, find 3 ten *By means of problems 7 to 12 and other similar exercises, lea see that he can obtain 1 tenth of an integral number by "pointing on the right, and of a mixed decimal by removing the point one p The pupil should understand that he multiplies $37.4 (not should be taught to write the decimal point in the product immedi ing the tenths' figure of the product. See page 10, paragraph 3. This means, find how many times 5 hundredths are contained in Denominate Numbers. A bushel of oats weighs 32 lb. A bushel of wheat weighs 60 lb. A bu. of corn (shelled) weighs 56 lb. A bu. of corn (not shelled) weighs 70 1b.* 1. Two bushels of oats weigh lb.; 5 bu. weigh (a) How much more than 1 ton do 75 bu. of oats weigh? 2. Two bu. of wheat weigh; 3 bu. weigh (b) Seventy-five bushels of wheat weigh how much more than two tons? (c) How much less than three tons? 3. Two bushels of shelled corn weigh -; 3 bu. weigh (d) Forty-five bushels of shelled corn weigh how much more than 14 tons? (e) How much less than 11⁄2 tons? 4. Two bushels of corn (not shelled) weigh ; 3 (f) How much more than three fourths of a ton do 25 bushels of corn (unshelled) weigh? (g) How much less than one ton? 5. One hundred pounds of oats are bushels and 32nds bushels. (h) Five hundred pounds of oats are how many bushels? 6. Two hundred pounds of wheat are bushels and bushels. (i) How many bushels in one and one half tons of wheat? 7. One hundred pounds of corn (not shelled) are pounds, or and bushel and bushels. (j) How many bushels in two tons of unshelled corn? (k) (1) (m) (n) 32 lb.)768 lb.† 32 lb.)769 lb. 32 lb.)770 lb. 32 lb.)772 lb. *Explain to the pupil that the expression "a bushel of corn (not shelled)," means, the amount of unshelled corn required to make 1 bushel of shelled corn. +32 lb. are contained in 768 lb. 24 times. Story-In 768 lb. of oats there are 24 bushels. 1. A 3-foot square for its equivaient) is called a square yard. It contains square feet. 2. A 3-foot cube (or its equivalent) is called a cubic yard. It contains cubic feet. 4. The solid content of a 4-foot cube is (a) How many cubic yards in a 4-foot cube? 5. The area of a 5-foot square is square feet, or cubic feet. square feet, or 6. The solid content of a 5-foot cube is square yards. 8. The solid content of a 6-foot cube is (c) How many cubic yards in a 6-foot cube? (1) A 7-foot square. cubic feet. square feet, or cubic feet. Find the solid content of (d) A 7-foot cube. (e) An 8-foot cube. 11. Two thirds of 18 are 1 half of 12. Three fourths of 24 are 2 thirds of 13. Two thirds of 30 are 1 half of· 14. Three fourths of 20 are 2 thirds of · (g) One third of 132 is 1 half of what number? (h) Two thirds of 252 are 1 half of what number? (i) Three fourths of 96 are 2 thirds of what number? (j) Two thirds of 96 are 3 fourths of what number? 15. Nine is of 12. A man can earn as much in 9 days as he can earn in 12 days. If he can earn $40 in 12 days, in 9 days he can earn dollars. (k) If a man can earn $896 in 12 months, how many dollars can he earn in 9 months? (1) If Mr. Conrad's horses consume 726 bushels of oats in a year, how many bushels will be required to feed them 8 months? *See foot-notes, page 16. The thoughtful teacher will not fail to see the bearing of this work upon percentage problems, |