ADDITION, SUBTRACTION, MULTIPLICATION, AND DIVISION OF METRIC NUMBERS. 317. If metric numbers be reduced to decimals of the same denomination, they may be added, subtracted, multiplied, and divided as ordinary denominate decimals. Reducing to the decimal of a meter and adding, we have 2. Subtract 277.94 dg. from 14.5786 Pg. Reducing to the decimal of a gram and subtracting, we have 3. Multiply 432.15 d. by 4, and express the result in decaliters. Reducing to the decimal of a liter and multiplying, we have 43.2151. 172.860 1. - 17.286 D., Ans. 4. Divide 1562.5 cm. by 1.25, and express the result in meters. Reducing to the decimal of a meter and dividing, we have Reducing to the decimal part of a gram and dividing, we have 2.6 8.)32.084 (12.38, Ans. 26 60 52 88 78 104 104 Add 6. 432.14 dm., 10.2325 Dm., 62.8 m., and 7512 cm. 9. 2.48213 sq. Dm., 12467.8 sq. dm., and 356.789 sq.m. 10. .621543 cu. Dm, 321.767 cu. m., and 143254 cu. dm. Subtract 13. 97004 mg. from 1.25782 Hg. 11. 456.7 dl. from 11.6214 HI. 12. .12371 Km. from 48564 cm. 14. 678 cu. dm. from .432 cu. Dm. 15. 10830.2 sq. dm. from 8.64321 sq. Dm. Multiply 16. 4.62 d. by 1.23, and express the result in decaliters. 17. 4.3216 m. by 2.4, and express the result in decimeters. 18. 3216 by 23.6, and express the result in kiloliters. cl. 19. 1.3578 sq. Dm. by 6.3, and express the result in square millimeters. 20. .432 cu. Dm. by .71, and express the result in cubic centi 25. 1788.57. by 6.3, and express the result in kilograms. 26. 1.05156 Dm. by .56, and express the result in centimeters. 318. To reduce a metric number to a common denominate number, or a common denominate number to a metric number. 42.28 3.28 ft. 33824 8456 12684 138.6784 ft., Ans. there are 3.28 ft., and in 42.28 m. there are 42.28 times 3.28 ft., or 138.6784 feet. 2. Reduce 4 rd. and 6 ft. to meters. PROCESS. 4 rd. 6 ft. 72 ft. 1 ft.=.3048 m. 72 6096 4 rd. and 6 ft. equal 72 ft. In 1 foot there are .3048 m., and in 72 feet there are 72 times .3048 m., or 21.9456 m. 21336 21.9456 m. Reduce Measures of Length. 1. What will 16.25 m. of cloth cost at $2.50 a meter? 2. What will 567.8 g. of beef cost at 30 cents a kilogram? 3. If 10 st. of wood cost $25, what will 36.5 st. cost? 4. If 12 of coal oil cost 75 cents, what will 5 hectoliters cost? 5. If a man travels 75 Hm. in an hour, how long will it take him to travel 3 Mm.? 6. If cloth is bought at $4 a meter and sold at $5 a yard, how much is gained on 60 meters? 7. If wood is bought at $2 a stere and sold at $8 a cord, how much is gained on 1200 steres? 8. If molasses is bought at 50 cents a gallon and sold at 20 cents a liter, how much is gained on the sale of a hogshead containing 63 gallons? 9. If wheat is bought at 60 cents a bushel and sold at $2 a hectoliter, how much is gained on the sale of 100 bushels? 10. If land is bought at $200 an acre and sold at $10 an are, how much is gained on the sale of 150 acres? 11. A tailor buys cloth at $4.50 a yard; at what price per meter must he sell it to gain 50 cents a yard? 12. A merchant buys sugar at 5 cents a pound; at what price per kilogram must he sell it to gain 2 cents a pound? 13. A barrel of flour weighs 196 pounds; what metric number expresses its weight? 14. Express in metric numbers the rate of a train running 30 miles an hour. 15. A farm contains 150 acres ; what is its area in ares? 16. A car weighs 56000 pounds; what is its weight in metric tons? 17. If the longitudes of two places on the equator differ by 10° 40′, what is the distance between the two places in kilometers, a degree being 69 miles? 18. If the distance to the moon is 240000 miles, how many kilometers is it from the earth? 19. If 40 meters of cloth cost $240, what will 60 yards cost? 20. If a bar of metal weighs 24 lb. to the foot, how many kilograms does it weigh to the decameter? |