Unit Conversions Practice

Make the following conversions: 1) Convert 16.7 inches to feet Unit Conversions Practice 2) Convert 25 yards to feet (there are 3 feet in a yard) 3) Convert 90 centuries to years 4) Convert 84 miles to kilometers (there are 0.6 miles in a kilometer) 5) Convert 4.75 centimeters to meters 6) Convert 48,987 minutes to days

7) Convert 27 months to fortnights (there are 14 days in a fortnight and ~30 days in a month) 8) Convert 0.09 miles to inches (there are 36 inches in a yard and 1760 yards in a mile) 9) Convert 4.66 centimeters to miles (there are 0.6 miles in a kilometer) 10) Convert 556 degrees Celsius to Kelvins 11) Convert 25 Kelvins to degrees Celsius Unit Conversions Practice Answer Key 1) Convert 16.7 inches to feet 1.39 feet

2) Convert 25 yards to feet (there are 3 feet in a yard) 8.3 yards 3) Convert 90 centuries to years 9,000 years 4) Convert 84 miles to kilometers (there are 0.6 miles in a kilometer) 140 km 5) Convert 4.75 centimeters to meters 0.0475 meters 6) Convert 48,987 minutes to days 34.019 days 7) Convert 27 months to fortnights (there are 14 days in a fortnight and ~30 days in a month) 57.9 fortnights 8) Convert 0.09 miles to inches (there are 36 inches in a yard and 1760 yards in a mile) 1.4 x 10-6 miles 9) Convert 4.66 centimeters to miles (there are 0.6 miles in a kilometer) 2.8 x 10-5 miles 10) Convert 556 degrees Celsius to Kelvins 829 K 11) Convert 25 Kelvins to degrees Celsius -248 0 C

Dimensional Analysis (Factor Label Method) 1. 1.2 kg = dg 2. 2.00 x 10-5m = in 3. 25.4 mm = cm 4. 1.2 miles = km 5. 15.47 m 3 = km 3 6. 17.0 ft/s = m/min 7. 342 miles/hr = km/s 8. 45.1 yards = cm 9. 1.45 L = gallons 10. 4.100 g = mg 11. 1.2 kg/yard = lbs/m 12. 2.00ft 3 /min = L/hour 13. 145 ml = cm 3 14. 6.51 miles = cm ANSWERS 1. 1. 1.2 x 10 4 dg 4 2. 2. 7.87 x 10 in 3. 3. 2.54 cm 4. 4. 1.9 km 8 3 5. 5. 1.547 x 10 km

6. 6. 311 m.min 7. 7. 0.153 km/s 8. 8. 4.12 x 10 3 9. 9. 0.383 gallon 10. 10. 4.100 x 10 3 mg 11. 11. 2.9 lbs/m 12. 12. 3.40 x 10 3 L/hr 13. 13. 145 cm 3 14. 14. 1.05 x 10 6 cm

Metric to Metric Conversions 1. 14.4 m = cm 2. 564 cg = g 3. 58dg = mg 4. 800L = kl 5. 0.0687 km = mm 6. 51.0 hg = g 7. 210 cl = dl 8. 4.51 x 10 3 = ml 9. 45700 cg = kg 10. 24.6 kl = L 11. 82.4 nm = m ANSWERS 1. 1. 1440cm 2. 2. 5.64 g 3. 3. 5800 mg 4. 4. 0.800 kl 5. 5. 68700 mm 6. 6. 5100 g 7. 7. 21.0 dl 8. 8. 4.51 ml 9. 9. 0.457 kg 10. 10. 2.46 x 10 10 L 11. 11..0824 m

Conversions 1. In the United Kingdom, British Rail runs two types of modern high speed passenger trains. The Intercity-125 and the Intercity-225. The Intercity-125 has a top speed of 125 mi/hr, whereas the newer Intercity-225 has a top speed of 225 km/hr. Which train is faster? 2. The radius of an atom is 1 x 10-10 m. What is this radius in centimeters? In inches? 3. You are in Paris, and you want to buy some peaches for lunch. The sign in the fruit standindicates that peaches are 11.5 francs per kilograms. Given that there are approximately 5 francs to the dollar, calculate what a pound of peaches will cost in dollars. 4. At the mall, you decide to try on a pair of Italian jeans. Naturally, the waist size of the jeans is given in centimeters. What does a waist measurement of 52 cm correspond to in inches? 5. You pass a road sign saying New York, 110 km. If you drive at a constant speed of 65 mi/hr,how long should it take you to reach New York?

6. For a pharmacist dispensing pills or capsules, it is often easier to weigh the medication to bedispensed rather than to count the individual pills. If a single antibiotic capsule weighs 0.65 g, and a pharmacist weighs out 15.6 grams of capsules, how many capsules have been dispensed? 7. Earth is approximately 1.5 x 10 8 km from the sun. How many minutes does it take light to travel from the sun to Earth? The speed of light is 3.0 x 10 8 m/s? 8. What is the price of a piece of gold wire 445 centimeters long that sells for $12.25 per foot? 9. The recommended adult dose of dextromethorphan, a drug used to treat cold is 35 mg/kg of body mass. Calculate the dose in milligrams for a 175 lb person. 10. A rectangular box is 4.00 in. wide, 12.00 in. long, and 16.0 in. deep. Calculate the volume in both cubic centimeter and in liter.

11. A car travels 35 miles on one gallon of gasoline. How many kilometers on one liter will it go? 12. A common brand of cough syrup comes in a 4 fl oz bottle. The active ingredient in the coughsyrup is dextromethorphan. For an adult, the standard dose is 2 teaspoons, and a single dose contains 20.0 mg of dextromethorphhan. Using the relationships, 1 fl oz = 29.6 ml and 1 teaspoon = 5.0 ml, determine how many grams of dextromethorphan are contained in the bottle HELPFUL WEBSITES FOR CONVERSIONS: http://www.learner.org/interactives/metric/symbols3.html

Metric to Metric Conversions The essence of metric to metric conversions is recognizing the abbreviated base units. Base Units: m (meter), L (liter), g (gram), s (seconds) These are not all of the base units, but are the most common that you will encounter. Each base unit can have any of the prefixes listed in the chart below. As with any other prefix, the prefix means the same thing regardless of the abbreviated base unit it is attached to. Giga (G)---------- it takes 10 9 (billion) base units = 1 G Mega (M)--------- it takes 10 6 (million) base units = 1 M --------------------- --------------------- Kilo (K)----------- it takes 1000 base units = 1 K Hecto (H)--------- it takes 100 base units = 1 H Decka (Da)------- it takes 10 base units = 1 Da Base Units: m, L, g, s Deci (d)----------- it takes 1 base unit = 10 deci Centi (c)---------- it takes 1 base unit = 100 centi Milli (m)---------- it takes 1 base unit = 1000 milli --------------------- --------------------- Micro ( )--------- it takes 1 base unit = 10 6 (million) micro --------------------- --------------------- Nano (n)---------- it takes 1 base unit = 10 9 (billion) nano There are two ways to work metric to metric conversions. The first way is to do the math by using the numerical conversion relationships listed in the chart above. Ex: Convert 35 g to g.? g = 35 g x 1 g = 0.000035 g 1,000,000 g The other way is to count the lines in the chart (every line except the one you start on), start from your given information and counting each line until you get to what you want to convert. ***Move Up the chart: Move decimal to the LEFT ***Move DOWN the chart: Move decimal to the RIGHT (remember RIGHT DOWN to the nitty gritty) Ex: Convert 35 g to g. Begin at prefix (micro) and count UP to g (gram). You counted UP six places, therefore you move your decimal to the LEFT six places. If your decimal is not shown, it is understood to be at the end of the number. 35. g = 0.000035 g Ex: Convert 0.26 ML to ml Begin at prefix M (mega) and count DOWN to prefix m (milli). You counted DOWN nine places, therefore, you move your decimal to the RIGHT nine places. So, you will add seven zeros. 0.26 ML = 260,000,000. ml

PRACTICE PROBLEMS (and solutions) ON BACK PRACTICE PROBLEMS 1) 170.4 m = cm 2) 564 Dag = g 3) 58 dg = mg 4) 600 L = KL 5) 0.0923 Km = mm 6) 49 Hg = g 7) 210 cl = dl 8) 4.51 x 10 3 L = ml 9) 45700 cg = Kg 10) 24.6 KL = L 11) 82.4 nm = m ANSWERS 1) 170400cm 2) 5640 g 3) 5800 mg 4) 0.600 KL 5) 92300 mm 6) 4900 g 7) 21.0 dl 8) 4.51 ml; write out 4.51 x 10 3 L = 4510 L, the decimal is understood to be after the zero. Now count UP from the prefix to the m (milli) prefix. You counted three places, so move the decimal to the LEFT three places = 4.51 ml 9) 0.457 Kg 10) 2.46 x 10 10 L or 24,600,000,000 L 11) 0.0824 m Name Lesson 1: Length

1. Which is longer? Circle your choice for each one. 1 mile or 1 kilometer 1 yard or 1 meter 1 inch or 1 centimeter 2. Complete each statement. 1 mi = km 1 yd = m 1 in = cm 3. The basic unit of length in the metric system in the and is represented by a lowercase. 4. The meter is defined as the traveled by in absolute vacuum in 1 299,792,458 of a second. 5. Complete each statement. 1 km = m 1 m = cm 1 m = mm 6. Which is larger? Circle your choice for each one. A. 1 meter or 105 centimeters C. 12 centimeters or 102 millimeters B. 4 kilometers or 4400 meters D. 1200 millimeters or 1 meter 7. How many millimeters are in 1 centimeter? 8. Use the ruler and line below to answer the questions. What is the length of the line in centimeters? cm What is the length of the line in millimeters? mm What is the length of the line to the nearest centimeter? cm HINT: Round to the nearest centimeter no decimals. T. Trimpe 2008 http://sciencespot.net/

Metric Conversions Name Fill in the boxes in the stair step diagram. Try these conversions, using the ladder method. 1000 mg = g 1 L = ml 160 cm = mm 14 km = m 109 g = kg 250 m = km Compare using <, >, or =. 56 cm 6 m 7 g 698 mg Metric Conversions Name Write the correct abbreviation for each metric unit. 1) Kilogram 4) Milliliter 7) Kilometer 2) Meter 5) Millimeter 8) Centimeter T. Trimpe 2000 http://sciencespot.net/

3) Gram 6) Liter 9) Milligram Try these conversions, using the ladder method. 10) 2000 mg = g 15) 5 L = ml 20) 16 cm = mm 11) 104 km = m 16) 198 g = kg 21) 2500 m = km 12) 480 cm = m 17) 75 ml = L 22) 65 g = mg 13) 5.6 kg = g 18) 50 cm = m 23) 6.3 cm = mm 14) 8 mm = cm 19) 5.6 m = cm 24) 120 mg = g Compare using <, >, or =. 25) 63 cm 6 m 27) 5 g 508 mg 29) 1,500 ml 1.5 L 26) 536 cm 53.6 dm 28) 43 mg 5 g 30) 3.6 m 36 cm Metric Mania Answer Keys Conversion Practice NOTE: See PowerPoint Presentation for the stair step boxes. 1000 mg = 1 g 160 cm = 1600 mm 109 g = 0.109 kg 1 l = 1000 ml 14 km = 14000 m 250 m =.250 km T. Trimpe 2000 http://sciencespot.net/

56 cm < 6 m 7 g > 698 mg Conversion Challenge 1. kg 2. m 3. g 4. ml 5. mm 6. l 7. km 8. cm 9. mg 10. 2 g 11. 104000 m 12. 4.8 m 13. 5600 g 14..8 cm 15. 5000 ml 16. 0.198 kg 17. 0.075 l 18. 0.5 m 19. 560 cm 20. 160 mm 21. 2.5 km 22. 65000 mg 23. 63 mm 24. 0.12 g 25. < 26. > 27. = 28. = 29. < 30. > T. Trimpe 2000 http://sciencespot.net/

No. of units No. of units

moved Unit multiplied by moved Unit multiplied by 1 0.1 1 10 2 0.01 2 100 3 0.001 3 1000 4 0.0001 4 10000 5 0.00001 5 10000 6 0.000001 6 100000 1mm =.1cm.1 cm = 1mm 1 mm =.01 dm.01 dm = 1 mm 1mm =.001 m.001m = 1mm 1mm =.0001dkm.0001dkm = 1mm 1mm =.00001 hm.00001 hm = 1mm 1mm =.000001 km.000001 km = 1mm Give the missing decimals 1) 3 mm = cm 5) 6 cl = l 9) 25 cg = g 2) 5cm = dm 6) 7 dl = dkl 10) 15g= kg 3) 6dm= m 7) 9l= hl 11)32dg= kg 4) 8m = dkm 8) 4ml= l 12) 98cg = g Give the missing number 13).3cm = mm 17).06l = cl 21).27g= mg 14).6m = dm 18).08dkl = dl 22).15g= mg 15).4hm= dkm 19).09hl= l 23).052 dkg= cg 16).9km = hm 20).002l= ml 24).22hg= g Christina Bryant 2009 Write as decimals.

25) 37 mm= cm 29) 276ml= l 33) 378 g= kg 26) 107cm= m 30) 8,278ml= l 34) 56g= kg 27) 1,529m= km 31) 27ml= l 35)9,762g= kg 28) 26cm= m 32) 4,010ml= l 3 36)8,920g= kg CHEMISTRY CONVERSIONS Christina Bryant 2009 1. A Tollycraft 61 Motor Yacht travels at 23.7 knots at full speed. A knot is the same as a nautical mile per hour. A nautical mile is 1.852 kilometer. What is the full speed of the yacht in meters per second? 2. A spaceship from another planet travels at a speed of 4.27 googs/mulm. There are 256 googs in a meter and 8000 mulum in one hour. What is the spaceship speed in meters per second? 3. Arrange these items in order from shortest to longest: a 57 cm length of string, a 14 inch long shoe, and a 1.1 m length of pipe.

4. What is the engine piston displacement in liters of an engine whose displacement is listed as 450 in 3? 5. You pass a road sign saying New York 112 km. If you drive at a constant speed of 65 mi/hr, how long should it take you to reach New York? 6. Suppose your dorm room is 11 ft wide by 12 ft long by 8.5 ft high and has an air conditioner that exchanges air at a rate of 1200 L/min. How long would it take the air conditioner to exchange the air in your room once? 7. How many liters of milk are in 835 gallons?

8. There are 2.60 x 10 15 short tons of oxygen in the atmosphere (1 short ton = 2000 lb). How many metric tons of oxygen are present (1 metric ton = 1000kg)? 9. A furniture factory needs 31.5 ft 2 of fabric to upholster one chair. Its Dutch supplier sends the fabric in bolts of exactly 200 m 2. What is the maximum number of cahirs that can be upholstered by 3 bolts of fabric (1 m = 3.281 ft)? 10. A hot air balloon rises to a height of 1.2 km. The passenger reaches down 0.81 m below the balloon basket holding a 1.3 m stick. At the end of the stick is a ball with a diameter of 32.1 cm and a 2.7 m string hanging from the ball is connected to a small lead weight. How high (in m) is the weight above the ground? 11. An average man requires about 2.00 mg of riboflavin (vitamin B2) per day. How many pounds of cheese would a man have to eat per day if this were his only source of riboflavin and if the cheese contained 5.5µg (1 g contains 1,000,000 µg?

12. A graduated cylinder weighed 68.1 grams. To the cylinder was added 48.7 grams of water and 5.318 grams sodium chloride. What was the total mass of the cylinder and the solution? Express the answer to the correct number of significant figures. 13. Use the following exact conversion factors to perform the stated calculations: 5.50 yards = 1 rod 40 rods = 1 furlong 8 furlongs = 1 mile a. The Kentucky Derby race is 1.25 miles. How long is the race in rods, furlongs, meters, and kilometers? b. A marathon race is 26 miles, 385 yards. What is this distance in rods, furlongs, meters, and kilometers? All students taking Chemistry or Acc. Chemistry will complete the attached worksheets and use the suggested websites to review conversions problems and significant figures taught freshman year. The students will take a test on these two topics on Friday, August 31, 2012. The Conversion assessment will be the first for the quarter and will be worth 100 point. Any questions please email Mrs. Ortlieb at hortlieb@cdeducation.org or Mr. Nicolosi at rnicolos@ cdeducation.org after August 15 th, 2012.