1. Unit Conversions Unit Conversion
Introduction to Engineering Design – Lesson Measurement and Statistics
Unit Conversions
Introduction to Engineering Design
© 2012 Project Lead The Way, Inc.
Project Lead The Way, Inc.
Copyright 2012

2. Unit Conversion
Introduction to Engineering Design – Lesson Measurement and Statistics
Unit Conversion
Converting units is necessary in science and engineering
to work across different systems of measurement
SI to US like meters to feet
or to express quantities in different units within a single system
US to US like feet to inches
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3. Unit Conversion – how to covert units
Introduction to Engineering Design – Lesson Measurement and Statistics
Unit Conversion – how to covert units
Conversion factor
A ratio (fraction) in which the quantity in the numerator is equivalent to the quantity in the denominator which is used to convert between units
Multiply unit conversation factor by a quantity to convert the quantity to alternate units
Contains desired units in the numerator and the given units in the denominator
Conversion Factor
Given Units • Desired Units Given Units = Desired Units
Desired Units 1
Given Units 1
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4. Example with vocabulary words
Convert 5 feet to inches
Desired unit
Given unit
Equation with feet and inches
Conversion Factor

5. US conversion
Convert 5 inches to feet round to nearest thousandth Convert 1 billion ft to miles round to nearest tenth

6. Stop Complete Activity 3.3 Problems #1a, 1b Unit Conversion
Introduction to Engineering Design – Lesson Measurement and Statistics
Stop
Complete Activity 3.3 Problems #1a, 1b
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7. Writing Numbers – SI System
Unit Conversion
Introduction to Engineering Design – Lesson Measurement and Statistics
Writing Numbers – SI System
Larger Smaller
Power of 10
Prefix
Abbreviation
101 =10
deca- da
102 =100
hecto- h
103=1,000
kilo- k
106=1,000,000
Mega- M
109=1,000,000,000
Giga- G
Power of 10
Prefix
Abbreviation
10-1=0.1
deci- d
10-2=0.01
centi- c
10-3 =0.001
milli- m
10-6=
micro-
10-9=
nano- n
Examples:
10 m = 1 decameter
1,000 L = 1 kiloliters
1,000,000 g = 1 Megagram
Examples:
.01 m = 1 cm or 100 cm is 1 m
.001 L = 1 mL or 1,000 mL = 1 L
g = 1 µg or 1,000,000 µg = 1g
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8. OR this unit conversion
Conversion of Units – SI System
Introduction to Engineering Design – Lesson Measurement and Statistics
Example: Convert hectometers to meters
Example: Convert 3 hundred milliseconds to seconds
OR this unit conversion
Power of 10
Prefix
Abbreviation
101 =10
deca- da
102 =100
hecto- h
103=1,000
kilo- k
106=1,000,000
Mega- M
109=1,000,000,000
Giga- G
Power of 10
Prefix
Abbreviation
10-1=0.1
deci- d
10-2=0.01
centi- c
10-3 =0.001
milli- m
10-6=
micro-
10-9=
nano- n
Project Lead The Way, Inc. Copyright 2012

9. Stop Complete Activity 3.3 Problems 1c, 1d, 1e Unit Conversion
Introduction to Engineering Design – Lesson Measurement and Statistics
Stop
Complete Activity 3.3 Problems 1c, 1d, 1e
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10. More Unit Conversions Feet and Inches
Introduction to Engineering Design – Lesson Measurement and Statistics
More Unit Conversions Feet and Inches
Tape measures and yard sticks often measure in feet and inches.
Convert 3 ft in. to inches: round to nearest hundredth
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11. More Unit Conversions Feet and Inches
Introduction to Engineering Design – Lesson Measurement and Statistics
Convert 3 ft – in. to feet round to nearest thousandth
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12. More Unit Conversions Feet and Inches Convert 82 in. to feet - inches:
Introduction to Engineering Design – Lesson Measurement and Statistics
Convert 82 in. to feet - inches:
6 ft x 12 in = 72 in 82 in – 72in = 10 in
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13. Stop Complete Activity 3.3 Problems 1f and 1g Unit Conversion
Introduction to Engineering Design – Lesson Measurement and Statistics
Stop
Complete Activity 3.3 Problems 1f and 1g
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14. Unit Conversions Between U S and SI Systems
Introduction to Engineering Design – Lesson Measurement and Statistics
Unit Conversions Between U S and SI Systems
Use equivalency of units to create conversion factors
Inches to centimeters:
Desired Unit
2.54 cm 1 in.
Given Unit
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15. Conversion of Units Between Systems
Unit Conversion
Introduction to Engineering Design – Lesson Measurement and Statistics
Conversion of Units Between Systems
Example: Convert 34.7 inches to centimeters Round to nearest tenth.
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16. Conversion of Units Between Systems
Unit Conversion
Introduction to Engineering Design – Lesson Measurement and Statistics
Conversion of Units Between Systems
Example: Convert 17 kg to lb (round to nearest unit)
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17. Stop Complete Activity 3.3 Problems 1h and 1i Unit Conversion
Introduction to Engineering Design – Lesson Measurement and Statistics
Stop
Complete Activity 3.3 Problems 1h and 1i
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18. Advanced unit Conversion
Introduction to Engineering Design – Lesson Measurement and Statistics
Advanced unit Conversion
Given Units • Linking Units Given Units • Desired Units Linking Units = Desired Units
Given Units 1
Desired Units 1
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19. Advanced Example: Convert 345.7 inches to yards round to nearest tenth
Unit Conversion
Introduction to Engineering Design – Lesson Measurement and Statistics
Advanced
Example: Convert inches to yards round to nearest tenth
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20. Advanced unit conversions
Introduction to Engineering Design – Lesson Measurement and Statistics
Advanced unit conversions
Example: Convert 7 miles into inches
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21. Advanced unit conversions
Introduction to Engineering Design – Lesson Measurement and Statistics
Example: Convert hectoliters to Megaliters
Round to the nearest ten thousandth
Power of 10
Prefix
Abbreviation
101 =10
deca- da
102 =100
hecto- h
103=1,000
kilo- k
106=1,000,000
Mega- M
109=1,000,000,000
Giga- G
Power of 10
Prefix
Abbreviation
10-1=0.1
deci- d
10-2=0.01
centi- c
10-3 =0.001
milli- m
10-6=
micro-
10-9=
nano- n
Project Lead The Way, Inc. Copyright 2012

22. Unit Conversion
Introduction to Engineering Design – Lesson Measurement and Statistics
Very Advanced
Example: An American car company has designed a new high fuel efficiency vehicle that is rated at 55 miles per gallon. The company plans to export the car to Europe and must advertise the fuel efficiency in SI units. What is the fuel usage rate in kilometers per liter?
1 L = gal
1 km = mi
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23. Stop 1j and 1k Unit Conversion
Introduction to Engineering Design – Lesson Measurement and Statistics
Stop
1j and 1k
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24. Continue working on 3.3