Chapter 7 Measurement

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Chapter 7Measurement
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Chapter Outline

• Length U.S. and Metric Systems of Measurement
• Weight and Mass U.S. and Metric Systems of
  Measurement
• Capacity U.S. and Metric Systems of Measurement
• Conversions Between the U.S. and Metric Systems
• Temperature U.S. and Metric Systems of
  Measurement
• Energy U.S. and Metric Systems of Measurement

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7.1

• Length U.S. and Metric Systems of Measurement

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Section Objectives

• Defining and Converting U.S. System Units of
  Length
• Using Mixed U.S. System Units of Length
• Performing Operations on U.S. System Units of
  Length
• Defining and Converting Metric System Units of
  Length
• Performing Operations on Metric System Units of
  Length

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Defining and Converting U.S. System Units of
Length
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 5
6
Defining and Converting U.S. System Units of
Length
EXAMPLE
Convert 84 in. to feet.
SOLUTION
Multiply by 1 in the form of
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 6
7
Using Mixed U.S. System Units of Length
EXAMPLE
Convert 100 ft ____ yd ____ ft
SOLUTION
100 ft 33 yd 1 ft
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 7
8
Performing Operations on U.S. System Units of
Length
EXAMPLE
5 ft 8 in. 6 ft 7 in.
SOLUTION
EXAMPLE
24 ft 8 in. - 16 ft 3 in.
SOLUTION
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 8
9
Performing Operations on U.S. System Units of
Length
EXAMPLE
15 yd 1 ft 8
SOLUTION
EXAMPLE
26 ft 10 in. 2
SOLUTION
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 9
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Defining and Converting
Metric System Units of Length
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 10
11
Defining and Converting
Metric System Units of Length
EXAMPLE
Convert 40 m to centimeters
SOLUTION
meters to centimeters (Remember metric
conversions are in powers of 10)
km hm dam m dm cm
mm
4000 cm
40 m
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 11
12
Performing Operations on
Metric System Units of Length
EXAMPLE
30 cm 8.9 m.
SOLUTION
When performing operations on metric units of
length convert them to the same unit
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 12
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7.2

• Weight and Mass U.S. and
  Metric Systems of Measurement

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Section Objectives

• Defining and Converting U.S. System Units of
  Weight
• Performing Operations on U.S. System Units of
  Weight
• Defining and Converting Metric System Units of
  Mass
• Performing Operations on Metric System Units of
  Mass

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Defining and Converting
U.S. System Units of Weight
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 15
16
Defining and Converting
U.S. System Units of Weight
EXAMPLE
Convert 5 pounds to ounces
SOLUTION
Multiply by 1 in the form of
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 16
17
Performing Operations on
U.S. System Units of
Weight
EXAMPLE
6 tons 1540 lb 2 tons 850 lb
SOLUTION
EXAMPLE
5 lb 3 oz 6
SOLUTION
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 17
18
Defining and Converting
Metric System Units of Mass
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 18
19
Defining and Converting
Metric System Units of Mass
EXAMPLE
Convert 650 g to kilograms
SOLUTION
grams to kilograms (Remember metric conversions
are in powers of 10)
kg hg dag g dg
cg mg
.650 kg
650 g
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 19
20
Performing Operations on
Metric System Units of Mass
EXAMPLE
1.61 kg 250 g
SOLUTION
When Performing operations on metric units of
mass convert them to the same unit
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 20
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7.3
Capacity U.S. and Metric
Systems of Measurement
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Section Objectives

• Defining and Converting U.S. System Units of
  Capacity
• Performing Operations on U.S. System Units of
  Capacity
• Defining and Converting Metric System Units of
  Capacity
• Performing Operations on Metric System Units of
  Capacity

23
Defining and Converting
U.S. System Units of Capacity
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 23
24
Defining and Converting
U.S. System Units of Capacity
EXAMPLE
Convert 16 quarts to gallons.
SOLUTION
Multiply by 1 in the form of
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 24
25
Performing Operations on
U.S. System Units of Capacity
EXAMPLE
3 qt 1c 1 c 4 fl oz
SOLUTION
EXAMPLE
5 gal 6 fl oz 2
SOLUTION
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 25
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Defining and Converting
Metric System Units of Capacity
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 26
27
Defining and Converting
Metric System Units of Capacity
EXAMPLE
Convert 8 L to milliliters
SOLUTION
liters to milliliters (Remember metric
conversions are in powers of 10)
kl hl dal L dl
cl ml
8000 ml
8 L
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 27
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Performing Operations on
Metric System Units of Capacity
EXAMPLE
4.6 L 1600 ml
SOLUTION
When Performing operations on metric units of
mass convert them to the same unit
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 28
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7.4
Conversions Between the
U.S. and Metric Systems
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Section Objectives

• Converting Between the U.S. and Metric Systems

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Converting Between the
U.S. and Metric Systems
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 31
32
Converting Between the
U.S. and Metric Systems
EXAMPLE
EXAMPLE
Vitamin C tablets come in 500 milligram caplets.
Convert this to ounces.
SOLUTION
Multiply by 1 in the form of
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 32
33
7.5
Temperature U.S. and
Metric Systems of Measurement
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Section Objectives

• Converting Degrees Celsius to Degrees Fahrenheit
• Converting Degrees Fahrenheit to Degrees Celsius

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Converting Degrees
Celsius to Degrees Fahrenheit
EXAMPLE
Convert 60C to degrees Fahrenheit.
SOLUTION
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 35
36
Converting Degrees
Fahrenheit to Degrees Celsius
EXAMPLE
Convert 68F to degrees Celsius
SOLUTION
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 36
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7.6
Energy U.S. and Metric
Systems of Measurement
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Section Objectives

• Defining and Using the U.S. System Units of
  Energy
• Defining and Using the Metric System Units of
  Energy

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Defining and Using the
U.S. System Units of Energy
SOLUTION
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 39
40
Defining and Using the
Metric System Units of Energy
SOLUTION
Elayn Martin-Gay, PEARSON PRENTICE HALL, BASIC
COLLEGE MATHEMATICS, 3e Slide 40