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Chapter 1 Measurements

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Problem Solving fsUsing Conversion Factors

LecturePLUS Timberlake

1. A person has a height of 2.0 meters. What is that height in inches?

Initial unit = mFinal 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 = pintsFinal unit = _______

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Initial unit

2.5 hr

Conversion Final

factor unit

2.5 hr x 60 min = 150 min

1 hr

cancel Answer (2 SF)

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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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A rattlesnake is 2.44 m long. How long is the snake in cm?

2)244 cm

2.44 m x 100 cm = 244 cm

1 m

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How many seconds are in 1.4 days?

Unit plan: days hr min seconds

1.4 days x 24 hr x ??

1 day

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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

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What iswrong with the following setup?

1.4 day x 1 day x 60 min x 60 sec

24 hr 1 hr 1 min

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1.4 day x 1 day x 60 min x 60 sec

24 hr 1 hr 1 min

Units = day2/hr2Not the final unit needed

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An adult human has 4650 mL of blood. How many gallons of blood is that?

Unit plan:mL qt gallon

Equalities:1 quart = 946 mL

1 gallon = 4 quarts

Your Setup:

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Unit plan:mL qt gallon

Setup:

4650 mL x 1 qt x 1 gal = 1.23 gal

946 mL 4 qt

3 SF 3 SF exact 3 SF

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- Read problem
- Identify data and Units
- 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

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If the ski pole is 3.0 feet in length, how long is the ski pole in mm?

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3.0 ft x 12 in x 2.54 cm x 10 mm =

1 ft 1 in. 1 cm

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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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Initial

8450 ft x 12 in. x 2.54 cm x 1 m

1 ft 1 in. 100 cm

x 1 min x 60 sec = 2400 sec

65 m 1 minfinal (2 SF)

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