4 PROBLEMS-AGRICULTURAL 1. The usual weight of a bale of hops is 200 lb.; how many bales are there in 1 ton? In a car-load of 10 tons? 2. 2,000 roots are required to plant an acre of hops; how many are required to plant 25 acres? What is the cost of planting 25 acres at $1 per 1,000 plants? 3. The wire trellis to support the vines costs $75 an acre; what is the cost for 25 acres? 4. Picking the hops costs at the rate of 14 a pound and 3 lb. of green hops make 1 lb. of dry hops; what is the cost of picking enough to make 1 ton of dry hops? 5. One cord of willow wood costing $5 will dry 1,000 lb. of hops; according to Exercise 1, what is the cost of enough wood to dry 100 bales? 6. The following are the ingredients of a fertilizer for vineyards: phosphate, ground bone, and potash in equal amounts. If an acre requires 900 lb. of fertilizer, how many pounds of each ingredient are used on an acre? 7. How many tons of such fertilizer are needed for a 5-acre vineyard? 8. A fertilizer for growing strawberries consists of 1 part nitrate of soda, 2 parts phosphate, 2 parts ground bone, and 2 parts of potash; how many pounds of each ingredient are there in 700 lb. of fertilizer? 9. 1 tons of fertilizer will fertilize 5 acres of strawberries; how many pounds are used per acre? 10. If a cow gives 450 lb. of milk in a month and each 100 lb. contains 4 lb. of fat, how much fat is there in the month's product? II. According to Exercise 10, how many pounds of milk would a dairy of 20 cows produce in a month? If the skimmed milk is of this amount, what is the weight of the month's product of cream? PROBLEMS-MANUAL TRAINING 1. Find the cost of the kit of tools given in this list: 2. Find the cost of the kit of tools given in this list: 3. A manual-training room is to be furnished with benches for 12 boys; if each bench costs $3, what will the 12 cost? 4. Each bench is to be supplied with a kit of individual tools as given in Exercise 2; how much will the 12 kits cost? 5. The room is to be supplied with 4 kits of common tools; how much will they cost? 6. Each pupil supplies himself with a 15-cent apron and 25 cents' worth of material; how much do these things cost for the whole class? 7. If each pupil uses 10 ft. of lumber in a month, how much is used by the whole class in the same time? 8. Make and solve other problems about supplies for manual training work. Oral. NOTATION AND NUMERATION Ten-thousands The needs of business and science constantly call for numbers larger than those that can be expressed by thousands. In Book I the names and symbols for all integers to 10,000 have been given. The method of naming or reading numbers is called numeration and that of writing, notation. 1. How many units make 1 ten? 3. How many hundreds make 1 thousand? 4. What method of grouping is used in forming numbers to thousands? Similarly, 10 thousands are grouped into 1 ten-thousand. The number of ten-thousands is written at the left, next to thousands' place. 5. Read: 20,000; 25,000; 35,000; 97,000. HUNDRED-THOUSANDS 10 ten-thousands are grouped into 1 hundred-thousand, and the number of hundred-thousands is written at the left, next to ten-thousands' place. 1. In 762,804 what figure stands in units' place? In tens' place? In hundreds' place? In thousands' place? In ten-thousands' place? In hundred-thousands' place? 2. Write 325,689 and above each figure write the name of its place. 3. What does the position of each figure in a number tell? What does its value tell? For convenience, the figures are separated by commas into sets of three each as far as possible, beginning at the right. These sets are called periods. In reading, the word "thousands" is omitted in the case of ten-thousands and of hundred-thousands. The whole period is read as if it were units' period and then the word "thousand" is added. Thus, in the number 762,804, the second period is read: "Seven hundred sixty-two thousand.' This is similar to what is done in speaking of a number of people, or houses, or dollars. "Seven hundred sixty-two dollars," not "Seven hundred dollars, sixty dollars, two dollars." Read: We say, 4. 100,000. 7. 634,305. 5. 125,000. 6. 125,568. 9. 690,437. 10. Add the numbers in each of the above columns. II. Read: In 1900 the mines of the world produced: 80,643 tons of tin. 446,373 tons of zinc. 787,841 tons of lead. 12. The capacity of the car-ferryboat Père Marquette is 30 cars; if the weight per car is 42 tons, how many hundred pounds does the boat carry when loaded? 13. Write twenty-five thousand, five hundred fifteen. 1. Read the numbers in the table. The table shows the number of dollars earned by various railways during the third week of December for three consecutive years. 2. Bring similar items cut or copied from newspapers and read the numbers in class. Write in figures: 3. Five hundred five thousand, seventy-five. 4. Five hundred thousand, seven hundred twenty-five. 5. Five hundred seventy-five thousand, seven hundred five. 6. Mount Everest is 29,002 ft. high and Pike's Peak is 14,147 ft. high. Find the difference in their heights. 7. At the mines 2,240 lb. of coal is regarded as a ton; how many pounds are there in a car-load of coal weighing 40 tons at the mines? 8. The State of Colorado has the form of a rectangle. It is 380 mi. long and 273 mi. wide; how many square miles are there in its area? 9. of the area of Colorado is covered by the Rocky Mountains; how many square miles is this? 10. The State of Wyoming has the form of a rectangle 254 mi. long and 249 mi. wide; how many square miles are there in its area? II. What is the difference between the areas of Colorado and Wyoming? 12. There are 640 acres in a square mile; how many square miles are there in 128,000 acres? |