9 Measurement. Exercise Set 9-1

Transcription

1 9 Measurement Exercise Set 9-. In the English system the basic units of measurement are the inch, foot, yard, and mile. There are inches in a foot, feet in a yard, and 5,80 feet in a mile.. The basic unit of length in the metric system is the meter; the basic unit of capacity in the metric system is the liter; the basic unit of weight in the metric system is the gram.. The prefixes tell us how many times (or how many divided by) the basic unit the measurement is. or example, centi means 00 so a centimeter is one hundredth of a meter. 4. A unit fraction in measurement is one in which the numerator and the denominator are actually the same length, so that the fraction is really just equal to. 5. In dimensional analysis unit fractions are used to convert to equivalent fractions. The units we want to keep are in the numerator and the ones we want to get rid of are in the denominator. 6. A good rule of thumb for relating inches and centimeters is that two inches is about equal to 5 centimeters. 7. feet = yard; multiply by yard feet. feet yard feet = yards = 4 yards 8. inches = foot; multiply by foot inches. 6 in. ft in. 6 = ft = ft 9. feet = yard; multiply by yard feet. 7 ft yd ft 7 = yd = 5 yd 0. 5,80 feet = mile; multiply by mile 5, 80 feet. 0,45 ft mi 5,80 ft 0,45 = mi.96 mi 5,80. feet = yard; multiply by yd 4 ft yd feet yard. 9 = = =9 ft 4 4 4,760 yards.,760 yards = mile; multiply by mile 0.5 mi,760 yd = 0.5, 760 yd = 66 yd mi. inches = foot; multiply by foot inches. in. ft = ft = ft in. 4 feet 4. feet = yard; multiply by yard. 47 yd ft yd = 4 ft = 47 = = ft 5. 6 inches = yard; multiply by yard. 6 inches 8 in. yd 6 in. 8 = yd = yd 6 466

2 6. inches = foot; 5,80 feet = mile; foot mile multiply by inches 5,80 feet 5, 7,84 in. ft mi in. 5,80 ft 5,7,84 = mi 8.67 mi 5, inches = yard; multiply by 876 in. yd 6 in. = = yard. 6 inches 876 yd 4 yd 6 8. feet = yard; multiply by yard feet. 8 ft yd ft 8 yd 60 yd = = 9. There are steps from meters to centimeters. 8 m 0 = 8 00 = 800 cm 0. There is step from meters to decimeters. 0.5 m 0 = =.5 dm. There is step from dekameters to meters. dam 0 = 0 = 0 m. There is step from hectometers to dekameters. 4 hm 0 = 4 0 = 40 dam. There is step from kilometers to hectometers. 0.6 km 0 = = 6 hm 4. There is step from centimeters to decimeters. 0 cm 0 = 0 0 = dm 5. There is step from meters to decimeters. 90 m 0 = 90 0 = 900 dm 6. There are steps from millimeters to meters. 8, 46 mm 0 = 8, 46, 000 = 8.46 m 7. There are steps from centimeters to meters cm 0 = =.756 m 8. There are steps from meters to kilometers. 6 m 0 = 6,000 = 0.06 km 9. There are steps from meters to kilometers m 0 = 405.,000 = km 0. There is step from dekameters to hectometers dam 0 = = hm. There are 5 steps from kilometers to centimeters km 0 = ,000 =,70 cm. There are 5 steps from centimeters to kilometers. 5 50, 000 cm 0 = 50, , 000 = 0.5 km. There are 6 steps from kilometers to millimeters km 0 = , 000, 000 = 560 mm 4. There are 6 steps from millimeters to kilometers , 000 mm 0 = 650, 000, 000, 000 = 0.65 km 5. There are 4 steps from kilometers to decimeters km 0 =.75 0, 000 = 7, 500 dm 6. There are steps from meters to centimeters. 9.4 m 0 = =,940 cm 7. There is step from hectometers to kilometers. 8 hm 0 = 8 0 = 0.8 km 8. There is step from decimeters to centimeters., 56.4 dm 0 =, =, 564 cm 9. 5m 00 cm m in..54 cm 500 in. = in yd m = m.80 m yd.54 cm 0 mm mm 4. 6 in. = in. cm = mm 467

3 .096 yd m = yd yd m 4. 5 ft dm 0.48 cm ft 0 cm dm dam =,000 cm in..54 cm dam, dam 560 in. =.54, 6.54 in..6 km mi = 87.6 km mi,47.57 km dm m 0 dm yd m cm in. =.54 cm 00.5 in. 4 yd = yd in in..54 cm in mm = = mm 0 mm cm.54 cm m 57. in. = in. 00 cm 8.46 m 00,000 cm 58., 56 km km, 5600,000 in. = m 00 in..54 cm 49, 448,88.90 in. 5.5 yd ft = 5.5 ft = 76.5 ft yd He sprinted 76.5 feet km mi.6 km mi = 59 mi.6.54 cm 4.75 in. = cm in. = 65. cm ft 0.48 cm ft dm 0 cm dm = 0 = 7. dm m.096 yd 5. 44, 000 mm,000 mm m 44, yd = 48. yd, km mi.6 km.5 mi =.46 mi ft in. = 94 in. =,8 in. ft 94 feet is,8 inches. 94 ft in..54 cm m = ft in. 00 cm m = 8.65 m feet is 8.65 meters. 90 ft yd ft 90 = yd = 0 yd To get to second base the batter runs (0) = 60 yards. 90 ft in..54 cm m ft in. 00 cm = m = 7.4 m 00 To get to second base the batter runs (7.4) = meters. 468

4 6. 45 yd ft in. = 45()() in. yd ft =,60 in. He threw the ball,60 inches laps is = 4,000 m. There are three steps up from the base unit to kilo, so divide by,000. He ran 4, = 4 km. There are.6 km per mile, so divide 4 by.6 to get 8.7 mi yd ft in. yd ft = 45()()(.54) cm = 4,4.8 cm He threw the ball 4,4.8 cm.,500 yd mi,760 yd.54 cm in. The backup is about 0.85 mile.,500 yd mi.6 km,760 yd mi,500(.6) = km.7 km,760 The backup is about.7 km 60 in. ft in.,500 = mi 0.85 mi, = ft = 5 ft 80 in. ft 80 = ft = 6 ft in. The mattress will not fit. 6 in. yd 6 in. 6 = yd = yd 6 The section for her tomatoes is yards long. 66. There is one step down from deci to centi, so multiply by 0. The poster board is 60 cm by 50 cm. There are steps down from deci to milli so multiply by 00. The poster board is 600 mm by 500 mm. 67. rom the base unit it is three steps down to milli, so multiply by,000. She used.(,000) =,00 milligrams of citric acid. 68. There are two steps up from milli to deci, so divide by 00., = 0, so a decipede would have 0 legs. 70. km 0.64 mi so 0 km 0(0.64) 6.4 mi mi.6 km hour mi km hour km = 65(.6) hour 0 in..54 cm = 50.8 cm in. 4 in..54 cm = cm in. Her picture is 50.8 cm by cm. 6 ft = 6 in. = 744 in. 6 ft 0 in. = 754 in in..54 cm m in. 00 cm 9.6 m 0.5 in..54 cm 0 mm in. cm =.7 mm.5 in..54 cm 0 mm = 8. mm in. cm in..54 cm 0 mm = 76. mm in. cm The stamp measures 8. mm by 76. mm. 86, 8 mi 5, 80 ft, 600 seconds sec mi hr ft.54 0 hr 77. The difference is 94,400,000 9,900,000 =,500,000 miles.,500,000 mi 5, 80 ft mi 9 = ft 469

5 8 = ft ( ) ft in. = 4 in. ft He cut of 4 inches. 94 ft m = 9 m.808 ft 50 ft 0.48 cm = =,54 cm ft They will need about three 0 m boards to cover the length and, boards to cover the width. So they need approximately 9() = 57 boards that are 0 m by 8 cm to cover the surface. 0g 0 = grams per serving servings 0 g,000 mg 0, 000 = g = 6,666 grams per serving 8. 00(00 mg) = 0, 000 mg 0,000 mg g = 0 g,000 mg The bottle contains 0g of active ingredient in. ft = ft in. 64 = 64() = 8 8 = 8() = 64 They need (8) + (64) = 984 tiles to border edges, plus 4 tiles for the corners, giving us a total of 988 tiles ,000,000 pesos USD pesos 6, 9. USD You won a little over 6 thousand dollars; you could possibly buy a new car. 85. Her change was = 5.77 euros euros francs 7.85 francs euro She received about 7.85 francs. 86. You paid: 750 pesos USD $ pesos Your friend paid: 750 pesos USD $ pesos You paid $76.06 $5.76 = $4.0 more than your friend. or exercises 87 04, answers can vary; these are one guy s interpretation. The important thing is to think about the relative sizes of the different units in both systems. 87. Meters 88. Kilometers 89. Millimeters 90. Kilometers or meters, depending on where you live 9. entimeters 9. Kilometers 9. Millimeters 94. entimeters USD. D = 488 D USD His money was worth 488 anadian dollars. 95. Yards, meters 96. Miles, kilometers 97. Inches, centimeters 98. Yards, dekameters 470

6 99. Inches, millimeters 00. eet, meters 0. Yards, hectometers 0. Inches, millimeters 0. Inches, centimeters 04. Yards, meters 06. If you divide by,000 the result will have no zeros. Dividing by,000 is moving up three steps from centi. The units would be dekameters. 07. If you multiply by,000 the result will have no zeros. Multiplying by,000 is moving down three steps from meters. The units will be millimeters yd m 9.s.096 yd 00 m m s s 0 yd m 9.75 s.096 yd 00 m m s s m s m s The first runner is most impressive; his rate in meters per second was the smallest. Exercise Set 9- Answers may vary, depending on rounding and on the conversion factors used.. A square unit is a square that measures one unit by one unit. or example a square inch is a square with sides length one inch by one inch.. yd = ft, you need to square both sides of the equation (including the and ), you cannot just square the units, therefore yd is not ft but 9 ft.. One cubic centimeter is equal to one milliliter. 4. Answers may vary. 5. Answers may vary. 6. Answers may vary ,678 ft acre 4,560 ft 45,678 = acres 4, acres,64.75 acres mi,64.75 = mi 640 acres mi 45,678, yd mi,097,600 yd 45,678, = mi,097, mi 8.5 yd 9 ft yd =8.5 9 ft = 66.5 ft 7.,456 in. ft 44 in.,456 = ft = 4 ft 44 47

7 . 7 mi 640 acres mi = acres = 4,480 acres. 8 ft 67.4 dm 0.09 m ft 00 dm m yd 9 ft yd,05 ft acre = 4,560 ft 0.07 acre 77,4,587 in. ft 44 in. 77,4,587 ft acre = 44 4,560 ft yd 0.86 m yd 47.7 dm 5.6 m ft 0.09 m km 640 acres.59 km 8,764.5 acres 00 dm m ft 5.. acres 654,54 in. ft 44 in ,000 cm in cm,40.0 in. 654,54 ft yd = 44 9 ft 505 yd cm 0.0 ft m 0,000 cm ft 0.09 m 6. 0 yd 9 ft yd 90 ft 44 in. = ft =,960 in in. 6.6 dm 6.45 cm in. dm 00 cm 7. 5 ft 0.09 m ft 4.84 m 9. 5 yd 0.86 m yd 9.6 m m yd 0.86 m 6.6 mi.59 km mi acres.59 km 640 acres 48.8 yd 4 km 0. km acres mi.59 km 640 acres mi 0.6 km,7.5 dm 4.7 ft m 00 dm ft 0.09 m. 9. in cm in cm.,000,000 m yd 0.86 m,96,7.5 yd 47

8 ft 7.48 gal. ft,87. fluid oz qt gal 400 gal ft 7.48 gal,74 gal yd 0 gal pt qt 5.48 ft 8.44 yd 6 fluid oz pt ,50 cm L,000 cm = 87.5 L L,000 cm 67,46.7 cm L 47 cl L,000 cm 00 cl L = m m,000,000 cm 6.,56 oz pt qt 6 oz pt 98. gal 7.,000 in. ft 78 in ft gal 4 qt L,000 cm L =,600 cm 49. There are steps from milliliters to liters. 500 ml 0 = 500, 000 = 0.5 L 50. There are steps from hectoliters to liters hl 0 = = 9, 670 L ,000 ft 7.48 gal ft 64,560 gal pt qt gal in. pt 4 qt gal,570. in. 4,5 in. gal in. 9.6 gal 97 ml cm m ml,000,000 cm = m 8.5 cm ml cm 8.5 dm = 8.5 dl, 000 cm dm = 8.5 ml L,000 cm 0 dl L 5. There is step from liters to deciliters. 9 L 0 = 9 0 = 90 dl 5. There is step from dekaliters to hectoliters dal 0 = = 8.45 hl 5. There are steps from liters to milliliters. 4 L 0 = 4,000 = 4,000 ml 54. There are steps from liters to hectoliters. 9 L 0 = 9 00 = 0.9 hl gal 4 qt L gal.06 qt 45.8 L.9 L.06 qt gal gal L 4 qt 78.6 qt L.06 qt,500 ml L,000 ml L.06 qt,000 ml L 57,69.8 ml.59 qt ml cm ml = 4 cm 59.,050 ml L.06 qt,000 ml L. qt 47

9 qt L.06 qt 75. kl,000 L kl 46,48 gal 940 pt qt pt 0.44 kl,460 oz pt 6 oz 0.4 kl,000 ml L L.06 qt.06 qt L qt pt 84. kl,000 L.06 qt kl L, 86.5 gal 5, 94.4 ml gal 4 qt kl, 000 L L.06 qt gal 4 qt 7.5 ft 6.5 lb 45,84.75 lb ft ft 64 lb,47 lb ft ft 6.5 lb lb ft 64 lb 74.4 lb 69,0 in. ft 44 in.. ft.6 ft = 480 ft kl, 000 L Since a gallon only covers 400 ft she should buy gallons (unless, of course, the paint comes in smaller size containers). 5 m ft 6. ft 0.09 m 6. ft = ft Jose will need approximately 8 bags of mulch, which will cost him $(8) = $ ft yd 7 ft 7.4 yd Dan should ask for about 7.4 cubic yards. 40 oz pt =.5 pt 6 oz hloe drank.5 pints of soda, therefore she filled the pint glass.5 times.,000 acres mi.56 mi 640 acres The campus covers about.56 mi. 5 acres 4,560 ft yd = 4, 00 yd acre 9 ft The extension covers 4,00 yd. 5 gal ft 7.48 gal 0.67 ft Approximately 0.67 ft of water was added. (0.5)(0.5) m 00 cm = 5,000 cm m There are 5, =,50 doses of the drug left. ft 44 in. ft = 4,608 in. Since each tile covers 8 in she will need 4,608 8 = 576 tiles. To allow for 0% breakage, she will need tiles. qt gal = 0.5 gal 4 qt The store can fill about 0 gallon containers. To allow for 5% spillage, the store can fill, gallon containers. 5 ft 64 lb ft 0 lb The water weighs 0 lb, the boat weighs 00 lb for a total weight of 50 lb. 474

10 ,000 in. ft 44 in. yd 9 ft 7.7 yd She should get about 7¾ square yards of fabric. To allow for cutting waste, she should allow for yards. 8(0) oz pt qt 6 oz pt = 5 qt She has enough Gatorade for 5 bikers.,500 gal yd 0 gal 7.4 yd There is enough dirt for planters. 6 mi.59 km mi 5.54 km The search party covered about 5½ km. 00 gal ft 6.5 lb,67 lb 7.48 gal ft 65 kg. lb 6 lb kg The water weighs about,67 lb. The tub weighs 50 pounds and the two people together weight about 6 pounds. The total weight is, =,084 lb. 85. Acres 86. Square feet 87. Square miles 88. Square feet 89. Square miles 90. Square feet 9. Liters 9. Kiloliters 9. Milliliters yd m (.096) yd 7.65 m The capacity of one dump truck is about 7.65 cubic meters. Since there are three trucks one trip will haul away 7.65 =.95 m of dirt. It will take trips to remove all the dirt. 00 m (.096) yd m 0 gal yd 5,89 gal There are 5,89 gallons of water in the hole. The two pumps can pump (750) =,500 gallons per minute. It will take 5,89,500 = 5 minutes to pump all the water out of the hole. 97. Answers may vary. 98. $.7 $.7 L $4.79 = = L L 0.65 gal gal $.89 per gallon is the better price. 99. Answers may vary. depending on your school. 00. ft 600,000 gal, 600 sec a) sec hr 9, 04, 000 ton hr b) 600,000 gal ft sec 7.48 gal 7.48 gal 6.5 lb ton ft 000 lb 80,4 ft sec The Rogers entre is 56.5 million cubic feet, so it would take: 56,500,000 ft sec 704 sec 80,4 ft 704 seconds = minutes and 44 seconds 0. Answers may vary, depending on your classroom. 94. Kiloliters 475

11 0. a) Answers may vary, depending on your classroom. b) Answers may vary, depending on your classroom. c) The building is 9,48,000 cubic feet, so it would hold: 0. a) 9,48,000 ft ft 7.48 gal 968,, 440 gal And the water would weigh: 9,48,000 ft 6.5 lb T ft 000 lb = 4,044,65 T 6 ounce qt ounce 9,44 drops gal ft 6.5 lb 4 qt 7.48 gal ft b) 0.7 lb L.06 qt 000 ml L 0 drops ml,000,000 drops ml L.06 qt 0 drops 000 ml L 8,500, 000 ml 0 drop ml 9, 097 days sec drop day 86,400 sec c) 9,097 days is equal to 5 years and 7 days gal 8 ounce gal t 0.6 ounce c) 68,500, 000 years d) t 0.6 ounce 5 sec t min 60 sec a), 80 min,80 minutes is equal to hours and 0 minutes. 8.5 m kl, 000 L.06 qt ounce m kl L qt t 5 sec day 0.6 ounce t 86,400 sec b) 97 days 97 days is equal to years and 4 days..5 mi.48 0 ft 7.48 gal 8 ounce mi ft gal 5 sec t 77, 640, 000 mi.48 0 ft mi t 5 sec 0.6 ounce t years day 86,400 sec day 86,400 sec year 65 day 7.48 gal 8 ounce ft gal year 65 day an you imagine how frustrating it would be if it started raining while you were working on b, c, or d?! Exercise Set 9-. Mass is a measure of the amount of matter in an object and weight is a measure of the amount of force acting on that object.. On earth we can treat weight and mass the same because the gravitational force on a body is the same.. A gram is not very much matter at all. We need to use kilograms so that we don t have to write down the weights of things using large numbers. 4. In most metric measures, there are different units. or example, milligrams, grams, and kilograms which all measure the same thing mass. But in temperature, there is only one unit and that unit is degrees elsius. 5. Water freezes at 0 degrees and boils at 00 degrees, both of which are powers of ten. 6. It is an extension of the elsius scale where zero represents absolute zero instead of the temperature at which water freezes. 7. oz lb 6 oz =.065 lb 476

12 oz lb 6 oz. b 6 oz lb.5 b 6 oz lb 4. T,000 lb T 7.45 T,000 lb T = lb = 6.8 oz,500 lb T,000 lb,50 lb T,000 lb = 5 oz = 8,400 lb = 4,900 lb =.75 T =.75 T 4. There are steps from grams to milligrams. 0.5 g 0 = 0.5, 000 = 5 mg 5. There are steps from centigrams to grams., 7 cg 0 =, 7 00 =.7 g 6. There are steps from dekagrams to kilograms. 9.5 dag 0 = = 0.95 kg 7. There are steps from milligrams to grams. 5.4 mg 0 = 5.4,000 = g 8. There are steps from grams to kilograms. 400 g 0 = 400, 000 = 0.4 kg 9. There are steps from kilograms to grams..5 kg 0 =.5, 000 =, g 0. There are steps from grams to hectograms. 5, 6 g 0 = 5, 6 00 = 56. hg 5. 4,567 oz lb 6 oz T,000 lb.08 T. 0 g oz 8 g 4.9 oz T,000 lb T 6 oz lb = 88,000 oz oz 8 g oz 44 g 7. There is step from decigrams to centigrams. 9 dg 0 = 9 0 = 90 cg 8. There is step from milligrams to centigrams. 6 mg 0 = 6 0 = 0.6 cg 9. There is step from kilograms to hectograms. 44 kg 0 = 44 0 = 440 hg 0. There are steps from hectograms to grams. 6.4 hg 0 = =, 64 g. There is step from centigrams to decigrams. 5.5 cg 0 = = 5.5 dg. There is step from grams to dekagrams. 8.6 g 0 = = 8.6 dag. There is step from grams to decagrams. 7.6 g 0 = = 7.6 dg ,8 cg kg. lb 00,000 cg kg 0.06 lb 7 t, 000 kg t. lb kg 59,400 lb T,000 lb kg 0 hg T. lb kg 7,7.7 hg 4 dg g oz 0 dg 8 g 0.05 oz 57, 0 lb kg t. lb,000 kg 6.6 t 477

13 lb kg 0,000 dg 59,090.9 dg. lb kg 5.75 T,000 lb T 5. t 6. t, 000 kg t 7.9 T kg. lb. lb kg t,000 kg T,000 lb oz 8 g 0 dg 59,640 dg oz g 64 lb kg 00 dag. lb kg 85 dag 0 g oz dag 8 g 550 hg 00 g oz hg 8 g, dag = 9.07 oz, oz 4,65 mg kg. lb,000,000 mg kg 0.0 lb 4 lb kg,000 g. lb kg 8, 66.6 g = + = (4) + = 57. = + = (7) + = 80.6 = + = ( ) + = = + = ( 0 ) + =.9 = ( ) = (5 ) = 5 = ( ) = (7 ).78 = ( ) = (96. ) 5.7 = ( ) = ( ) 9.44 = ( ) = ( 0 ). = ( ) = ( 5.5 ) = K 7.5 = = = K 7.5 = = = K 7.5 = =.5 = + = (.5) = K 7.5 = = 59.5 = + = ( 59.5) = K 7.5 = = 7.8 = + = ( 7.8) = K 7.5 = = 89. = + = (89.) oz lb 6 oz = 6.5 lb The parents are not correct; a 6.5 lb baby is average = + = ( 5) + = = + = ( 8) + = ,700 lb T,000 lb = 0.85 T The load is more than ¾ ton. Billy s truck will not be able to handle the load. 4, 400 kg. lb 9,680 lb kg 478

14 The elevator is capable of holding 9,680 lb. The men weigh a total of about 0 0 =,00 lb. The elevator is more than able to hold their weight. 68 kg. lb 49.6 lb kg Susan s weight is above the healthy weight for her height; her doctor might suggest she go on a diet. = + = (5) + = 95 That s pretty hot! It s a bathing suit and flipflops for Olivia. 4 oz lb 6 oz =.5 lb Janine needed to buy.5 pounds of chicken. 5(,540) lb T,000 lb = 6.5 T The cars weigh more than the capacity of the ferry; better get your life vests! 750 g oz 8 g = 6.8 oz He can completely fill 8 jars and almost fill 9. = + = (0) + = 68 It is 68. = + = (8.8) + = 0.84 You appear to have a fever ,000 kg t, 000 kg = t The truck poured too much sand into the foundation..6 lb 6 oz lb = 57.6 oz She lost 57.6 oz of fat () + (0) = 88 oz oz lb 6 oz = 5.5 lb They ate 5.5 lb of steak. If they let the man on, the total weight on the elevator will be,60 pounds which exceeds the weight limit. They should not let him on! = + = (, 000) + =, 6 Her heating element will not be hot enough. = = (7) = 5 The temperature will go down by = ( ) = 9 8. ( ) 8., 000 kg. lb,00 lb kg The temperature went up by 5 kg. lb lb 55 ft kg ft lb 6 oz lb 8 g oz,40 g They seized,40 grams of the substance. 84. Yuan did not buy the right cement..7 T, 000 lb kg T. lb,545.5 kg The scale reads approximately,545.5 kg 479

15 = ( ) = (.8 ) = 06 The sugar should be melted. 5 kg,000,000 mg kg = 00,000 mg There are 00,000 mg of the substance. To fill 50 bags with 4,500 mg each would require 50(4,500) = 5,000 mg. There is not enough to fill 50 bags. Avg. High ( ) Month lb kg 04.5 kg. lb The person would have to weigh = 67.5 kg. 88. No. Answers may vary. 89. a) 9 = Avg. High ( ) The elsius graph appears to show a greater variation in temperatures. b) Month 480

16 90. a) Millions of pounds Metric Tons 9.7 8, , , ,909. 0,59 4.7, ,955. 0,6., , ,955 b) The variation appears to be much greater in the original graph. This is largely due to the fact that the vertical axis is scaled differently: the lowest height on the graph is 4 million pounds, not zero pounds. 9. San Antonio 9. Louisville 9. ootball player 94. Kid 95. Kilogram 96. Metric Ton Thousnads of Metric Tons Year 97. Gram 98. Kilogram Review Exercises yd ft yd = ft,564 ft mi 5,80 ft in. ft in. 56 in. ft =.75 ft yd in. ft 4.46 mi 9.89 yd 5. 8, 45, 64 in. ft in. mi 5, 80 ft 6. There are steps down from meters to centimeters. 0. m 0 =,00 cm 7. There is step down from meters to decimeters. 0.6 m 0 =.6 dm 0. mi 8. There are 4 steps down from kilometers to decimeters km 0 = 5, 400 dm 48

17 9. There are steps up from millimeters to meters. 4,500 mm 0 = 4.5 m 0. There is step up from dekameters to hectometers dam 0 = hm.,986 ft m.808 ft m The Eiffel Tower is about 605 m tall, which is taller than the hrysler building in New York ity.. Kilometers m.808 ft m in. ft 90.5 in.. 5,698 in. ft 44 in ft m.096 yd m 85 cm in..54 cm. yd m yd 8.5 yd.46 in. 0 dm m.6 dm 45 ft m 0 dm =, dm ft m yd 9 ft yd acre 4,560 ft.45 mi 7,878,400 ft mi 456,in. yd,96 in. 5,64 acres mi 640 acres 0. acre = 68,0,080 ft 5.0 yd 8.8 mi in cm in. 49. cm yd m = 9.44 m yd ft 0.09 m ft 00 dm m. dm km mi.6 km 05 mi.6 km hr mi 6. mi 0 km hr 05 mi hr min 5,80 ft hr 60 min 60 sec mi ft sec,600 m km,000 m mi.6 km.4 mi.4 mi It would take 0.75 hr to walk the mi hr distance at miles per hour, or about 45 minutes acres 4,047 m acres 0.50 km.5 cm 4 km in cm,000,000 m km,48,870,968 ft 7 ft 7.48 gal ft 6,70 oz 4 qt gal km,000,000 m ft 44 in. pt qt ft 0.09 m 0.0 ft 6 oz pt 48

18 4. 4,000 ft,78 in. ft = 7,576,000 in yd 0 gal yd, gal They should charge $48.87 for a 5,000 square meter lawn L,000 ml cm L ml =,500 cm 45 pt qt gal ft,78 in. pt 4 qt 7.48 gal ft, in. L,000 ml L 67 hl 00 L hl =,000 ml = 67,00 L 54, 457 ml kl,000,000 ml cl L 00 cl =. L = kl 4. Since cc = ml the patient is in danger ft 7.48 gal 7 gal ft He should use 7(5) = 85 drops. 47. Acres 48. ubic centimeters oz lb 6 oz.4 T,000 lb T = lb 4,500 lb T,000 lb = 4,800 lb = 7.5 T. T,000 lb 6 oz = 4,600 oz T lb 567,76 oz lb 6 oz T,000 lb 8 T 54. There is step down from decigrams to centigrams dg (0) = 97.5 cg 55. There are steps down from grams to milligrams g (, 000) = 457 mg 56. There are steps down from kilograms to grams. 5.6 kg (, 000) = 5, 600 g 45. acre 4,560 ft = 87,0 ft acre Price per ft of each: $4,000 $0.47 per ft 87,0 ft $46, m $0.45 per ft 9,500 m ft The second property is cheaper per square foot. 57. There are steps up from grams to hectograms. 4, 45 g (00) = 4.45 hg

19 oz 8 g 0 dg oz g 5,795 dg,456 mg g. lb,000 mg,000 g 0.05 lb hg oz 00 g,60.7 oz 8 g hg = + = () + = 55.4 = + = (.5) + = 7 = ( ) = (9. ).5 = ( ) = ( ) = K 7.5 = = K = = = 64.95K 70. = + = (8.5) + = 0. Heinrich has a fever elsius higher is the same as: = = (8) = 4.4 So, the high temperature was about = Amount lost: kg. lb 7.6 lb kg 46 lb 7.6 lb = 8.4 lb His ending weight was about 8.4 lb. T,000 lb T kg. lb t, 000 kg t The cost on the American side is $65 for t and on the anadian side it is $58 for t. It appears the deal on the anadian side is better, but only if they re both using the same currency! 69.,00 g. lb,000 g 7.04 lb hapter Test. in. yd 6 in..67 yd 5. 4 cm in..54 cm.9 in.. 8,665 ft mi.64 mi 5,80 ft ft m 8.8 m ft. There are steps down from meters to centimeters. 0. m 00 =. cm 7.,475 in. ft 44 in. 4. ft 4. There are steps down from hectometers to decimeters. hm,000 =,000 dm 8., 5 acres mi 640 acres 5.05 mi 484

20 9.. cm in cm. in.. 6 mi.6 km mi 4.86 km ft 0.09 m ft.80 m 85 yd m yd km 000 m 4.86 km km 4. km 0.5 km. 00 cm in..54 cm 6.0 in.. 6 mi 5, 80 ft mi 7,80 km.. 5,54 in. 0.5 m 4.9 yd.54 cm in. 0 gal yd m 00 cm gal 85 yd ft yd,55 km The total number of feet is 7,80 +,55 = 8,45 feet. 8,45 ft sec 5.9 ft min 60 sec 9 min = 6 hours and minutes 9 min pt qt gal in in. pt 4 qt gal 65 oz lb 6 oz 4,675 oz lb 6 oz =.85 lb T,000 lb.08 T 7. There is step down from decigrams to centigrams. 5.9 dg 0 = 59. cg kg. lb 94 lb kg = 4 lb Bobby is 4 pounds overweight. yd = 9 ft $.50 $.9 per ft 9 ft The first at $.9 per square foot is cheaper than the second at $.70 per square foot. 5 km,000 m.808 ft 6,404 ft km m ,854 cg g. lb 00 cg,000 g 0.06 lb = + = () + = 55.4 = ( ) = (85. ) km mi.6 km 9.5 mi It will take approximately hours = 40.6 miles 40.6 mi.6 km 6.66 km mi Yes, the total distance covered is approximately 6.4 km more than a 00 km car race. 9.,500 ft yd 9 ft hr 0 yd 9.44 hr 485

21 0. 7,8 ft yd 9 ft 804. yd The cost will be $40(804.) = $, ,000 T,000 lb kg T. lb 4,88,8 kg. 0,000 ft acre 4,560 ft 0.69 acre The agent is wasting her time.. = + = (.8) + = 9.04 = + = (4.4) + = 75.9 The difference is =