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Chapter 1 Measurements. Problem Solving fsUsing Conversion Factors. 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 = _______

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chapter 1 measurements
Chapter 1Measurements

Problem Solving fsUsing Conversion Factors

LecturePLUS Timberlake

initial and final units
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

how many minutes are in 2 5 hours
How many minutes are in 2.5 hours?

Initial unit

2.5 hr

Conversion Final

factor unit

2.5 hr x 60 min = 150 min

1 hr

cancel Answer (2 SF)

LecturePLUS Timberlake

learning check
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

LecturePLUS Timberlake

solution
Solution

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

LecturePLUS Timberlake

learning check1
Learning Check

How many seconds are in 1.4 days?

Unit plan: days hr min seconds

1.4 days x 24 hr x ??

1 day

LecturePLUS Timberlake

solution cf2
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

unit check
Unit Check

What iswrong with the following setup?

1.4 day x 1 day x 60 min x 60 sec

24 hr 1 hr 1 min

LecturePLUS Timberlake

unit check1
Unit Check

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

LecturePLUS Timberlake

learning check2
Learning Check

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:

LecturePLUS Timberlake

solution1
Solution

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

LecturePLUS Timberlake

steps to problem solving
Steps to Problem Solving
  • 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

LecturePLUS Timberlake

learning check3
Learning Check

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

LecturePLUS Timberlake

solution2
Solution

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

1 ft 1 in. 1 cm

LecturePLUS Timberlake

learning check4
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?

LecturePLUS Timberlake

solution3
Solution

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 min final (2 SF)

LecturePLUS Timberlake

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