Chapter 1 Measurements Problem Solving fsUsing Conversion Factors
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Initial and Final Units 1. A person has a height of 2.0 meters. What is that height in inches? Initial unit = m
Final unit = _______
2) Blood has a density of 0.05 g/mL. If a person lost 0.30 pints of blood at 18°C, how many ounces of blood would that be? Initial = pints
Final unit = _______ LecturePLUS Timberlake
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How many minutes are in 2.5 hours? Initial unit 2.5 hr Conversion factor 2.5 hr x 60 min 1 hr cancel
Final unit = 150 min
Answer (2 SF) LecturePLUS Timberlake
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Learning Check A rattlesnake is 2.44 m long. How long is the snake in cm? 1) 2440 cm 2) 244 cm 3) 24.4 cm
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Solution A rattlesnake is 2.44 m long. How long is the snake in cm? 2) 244 cm 2.44 m x 100 cm 1m
= 244 cm
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Learning Check How many seconds are in 1.4 days? Unit plan: days
hr
1.4 days x 24 hr x 1 day
min
seconds
??
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Solution CF2 Unit plan: days
hr
min
seconds
2 SF Exact 1.4 day x 24 hr x 60 min x 60 sec 1 day 1 hr 1 min = 1.2 x 105 sec LecturePLUS Timberlake
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Unit Check What is wrong with the following setup? 1.4 day
x 1 day 24 hr
x
60 min 1 hr
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x 60 sec 1 min
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Unit Check
1.4 day
x 1 day 24 hr
Units = day2/hr2
x
60 min 1 hr
x 60 sec 1 min
Not the final unit needed
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Learning Check An adult human has 4650 mL of blood. How many gallons of blood is that? Unit plan:
mL
qt
Equalities:
1 quart = 946 mL 1 gallon = 4 quarts
gallon
Your Setup: LecturePLUS Timberlake
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Solution Unit plan: mL Setup: 4650 mL x 3 SF
1 qt 946 mL 3 SF
qt
gallon
x 1 gal 4 qt exact
= 1.23 gal
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3 SF
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Steps to Problem Solving
Read problem Identify data Write down a unit plan from the initial unit to the desired unit Select conversion factors Change initial unit to desired unit Cancel units and check Do math on calculator Give an answer using significant figures LecturePLUS Timberlake
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Learning Check If the ski pole is 3.0 feet in length, how long is the ski pole in mm?
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Solution 3.0 ft x 12 in 1 ft
x 2.54 cm x 10 mm = 1 in. 1 cm
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Learning Check If your pace on a treadmill is 65 meters per minute, how many seconds will it take for you to walk a distance of 8450 feet?
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Solution Initial 8450 ft
x 12 in. 1 ft
x 1 min 65 m
x 2.54 cm x 1 m 1 in.
100 cm
x 60 sec = 2400 sec 1 min final (2 SF) LecturePLUS Timberlake
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