unit conversions practice - tina's science class

© 2000 Cavalcade Publishing – All Rights Reserved For chemistry help, visit http://www.chemfiesta.com

Unit Conversions PracticeMake the following conversions:

1) Convert 16.7 inches to feet

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 ~30days in a month)

8) Convert 0.09 miles to inches (there are 36 inches in a yard and 1760yards 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 Key1) 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 years9,000 years

4) Convert 84 miles to kilometers (there are 0.6 miles in a kilometer)140 km

5) Convert 4.75 centimeters to meters0.0475 meters

6) Convert 48,987 minutes to days34.019 days

7) Convert 27 months to fortnights (there are 14 days in a fortnight and ~30days in a month)57.9 fortnights

8) Convert 0.09 miles to inches (there are 36 inches in a yard and 1760yards 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 Kelvins829 K

11) Convert 25 Kelvins to degrees Celsius-2480 C

MGCCC, Perk Learning LabCreated by Tara L. Moore

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 m3 = ________km3

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. 2.00ft3/min = ________L/hour

13. 145 ml = ________cm3

14. 6.51 miles = ________cm

ANSWERS

1. 1. 1.2 x 104 dg2. 2. 7.87 x 10 –4 in3. 3. 2.54 cm4. 4. 1.9 km5. 5. 1.547 x 10 –8 km3

6. 6. 311 m.min7. 7. 0.153 km/s8. 8. 4.12 x 103

9. 9. 0.383 gallon10. 10. 4.100 x 103 mg11. 11. 2.9 lbs/m12. 12. 3.40 x 103 L/hr13. 13. 145 cm3

14. 14. 1.05 x 106 cm

MGCCC, Perk Learning Lab

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 103 = __________ mL

9. 45700 cg = __________ kg

10. 24.6 kL = __________ L

11. 82.4 nm = __________ m

ANSWERS

1. 1. 1440cm2. 2. 5.64 g3. 3. 5800 mg4. 4. 0.800 kL5. 5. 68700 mm6. 6. 5100 g7. 7. 21.0 dL8. 8. 4.51 mL9. 9. 0.457 kg10. 10. 2.46 x 10 10L11. 11. .0824 m

ConversionsReg Chemistry

1. In the United Kingdom, British Rail runs two types of modern high speed passenger trains. TheIntercity-125 and the Intercity-225. The Intercity-125 has a top speed of 125 mi/hr, whereas thenewer 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 tothe 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 isgiven 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 apharmacist weighs out 15.6 grams of capsules, how many capsules have been dispensed?

7. Earth is approximately 1.5 x 108 km from the sun. How many minutes does it take light to travelfrom the sun to Earth? The speed of light is 3.0 x 108 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 bodymass. 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 bothcubic 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 dosecontains 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 canhave any of the prefixes listed in the chart below. As with any other prefix, the prefix means the same thingregardless of the abbreviated base unit it is attached to.

Giga (G)---------- it takes 109 (billion) base units = 1 GMega (M)--------- it takes 106 (million) base units = 1 M------------------------------------------Kilo (K)----------- it takes 1000 base units = 1 KHecto (H)--------- it takes 100 base units = 1 HDecka (Da)------- it takes 10 base units = 1 DaBase Units: m, L, g, sDeci (d)----------- it takes 1 base unit = 10 deciCenti (c)---------- it takes 1 base unit = 100 centiMilli (m)---------- it takes 1 base unit = 1000 milli------------------------------------------Micro ()--------- it takes 1 base unit = 106 (million) micro------------------------------------------Nano (n)---------- it takes 1 base unit = 109 (billion) nano

There are two ways to work metric to metric conversions. The first way is to do the math by using thenumerical conversion relationships listed in the chart above.

Ex: Convert 35 g to g.

? g = 35 g x 1 g = 0.000035 g1,000,000 g

The other way is to count the lines in the chart (every line except the one you start on), start from yourgiven 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 yourdecimal to the LEFT six places. If your decimal is not shown, it is understood to be at the end of thenumber.

35. g = 0.000035 g

Ex: Convert 0.26 ML to mLBegin 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 103 L =______________ mL

9) 45700 cg =______________ Kg

10) 24.6 KL =______________ L

11) 82.4 nm =______________ m

ANSWERS

1) 170400cm2) 5640 g3) 5800 mg4) 0.600 KL5) 92300 mm6) 4900 g7) 21.0 dL8) 4.51 mL; write out 4.51 x 103 L = 4510 L, the decimal is understood to be

after the zero. Now count UP from the prefix to the m (milli) prefix. Youcounted three places, so move the decimal to the LEFT three places = 4.51 mL

9) 0.457 Kg10) 2.46 x 1010 L or 24,600,000,000 L11) 0.0824 m

T. Trimpe 2008 http://sciencespot.net/

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.


Name_________________________

Metric Conversions

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


Name_________________________

Metric Conversions

Write the correct abbreviation for each metric unit.

1) Kilogram _____ 4) Milliliter _____ 7) Kilometer _____

2) Meter _____ 5) Millimeter _____ 8) Centimeter _____

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

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. >

Christina Bryant 2009

Name_______________________________________Date____________Per_______

Writing Meters, Liters, and Grams

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

When Moving from one unit to a smaller unit

No. of units

moved Unit multiplied by

1 10

2 100

3 1000

4 10000

5 10000

6 100000

When Moving from one unit to a larger unit

No. of units

moved Unit multiplied by

1 0.1

2 0.01

3 0.001

4 0.0001

5 0.00001

6 0.000001

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 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 in3?

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 1015 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 ft2 of fabric to upholster one chair. Its Dutch supplier sends the fabric in bolts of exactly 200 m2. 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 websitesto review conversions problems and significant figures taught freshman year. The students will take a test on these twotopics on Friday, August 31, 2012. The Conversion assessment will be the first for the quarter and will be worth 100point.

Any questions please email Mrs. Ortlieb at [email protected] or Mr. Nicolosi at rnicolos@ cdeducation.org afterAugust 15th , 2012.

unit conversions practice - tina's science class

Documents