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Lab One: Measurement and
Metric Conversions
Metric System
The metric system is a
decimalized system of
measurement.
Metric System
Since the 1960s the International
System of Units ("Système
International d'Unités" in French,
hence "SI") has been the
internationally recognized standard
metric system.
Metric units
are widely
used around
the world for
personal,
commercial
and scientific
purposes.
Metric System
A standard set
of prefixes in
multiples of ten
may be used to
derive larger
and smaller
units.
Metric System
The Metric and Customary
Systems of Measurement
In today’s global
environment, metric
measurements are
prominent in
workplaces,
consumer products,
and news reports.
Almost every other
country in the world
uses the metric system
of measurement.
Three nations have not officially adopted the International System of Units as
their primary or sole system of measurement: Burma, Liberia, and the
United States.
The European Union, Japan, and Korea have
passed legislation limiting international commerce
to products measured in metric units.
Countries by Date of Metrication
If the United States is to continue
to play a leading role in
international business, using
metric measurement is imperative
and U.S. workers at all levels must
be knowledgeable about the
Système Internationale (SI), the
international name for the metric
system.
The Metric and Customary
Systems of Measurement
Cargo errors - The confusion
between pounds (mass) and
kilograms sometimes means that
aircrafts are overloaded. "the
shipper's weights had been in
kilograms, not pounds, and that,
as a result, the aircraft was more
than 30,000 pounds overweight".
Importance of Conversion…
Importance of Conversion…
Gimli Glider — In 1983 a
Boeing 767 jet ran out of fuel in
mid-flight because of two
mistakes in figuring the fuel
supply of Air Canada's first
aircraft to use metric
measurements.
Medical errors - Medical errors
in the US are sometimes
attributed to the confusion
between grains and grams. A
patient received phenobarbital 0.5
grams instead of 0.5 grains (0.03
grams) after the prescriber
misread the prescription.
Importance of Conversion…
Mars Climate Orbiter — In 1999
NASA lost a $125 million Mars
orbiter because one engineering
team used metric units while
another used US customary units
for a calculation.
Importance of Conversion…
Metric System
• One of the goals of the metric system is
to have a single unit for any physical
quantity.
• Another important
one is not needing
conversion factors
when making
calculations with
physical quantities.
Metric System
• All lengths and distances are measured in
meters, or thousandths of a meter
(millimeters), or thousands of meters
(kilometers), and so on.
Metric System
• There are not different units with different conversion
factors, such as inches, feet, yards, fathoms, rods,
chains, furlongs, miles, nautical miles, leagues, etc.
Metric System
• Multiples and submultiples are related to the
fundamental unit by factors of powers of ten, so
that one can convert by simply moving the
decimal place: 1.234 meters is 1234 millimeters,
0.001234 kilometers, etc.
– The use of fractions, such as 2⁄7 of a meter, is not
prohibited, but uncommon, as it is generally not
necessary.
Metric System
• The US uses the
English System of
measurement.
– Not even the
English use the
English system
anymore.
Metric System
Metric System
• The rest of the world, especially scientists, use
the metric system, or System International (SI).
• Since we are in the US, your lab manual uses
both systems.
– We need to be familiar and comfortable using both
systems.
– We also need to be able to convert units from one
system to another.
Measurement and Metric
Conversions
You will work with topographic maps
You will have to measure distance
Answers will be based on distance you measure
Objective: learn good techniques first
You will be measuring in inches and centimeters
You will need to convert to useful units like feet
and meters and miles or kilometers
Measurement and Metric
Conversions
You will also need to convert from the English
system of measurement to the System
International or the Metric System and from SI
to English.
Measurement and Metric
Conversions
Materials
Ruler
Calculator
Objectives
• Practice measuring
• Practice converting within a system
• Practice converting between systems
• Practice rounding
Measuring Distance
Rulers have inches and centimeters
Inches are divided into 16ths
Centimeters are divided into 10ths, which are
millimeters
See the first picture
• A 6/16
• B 12/16
• C 5/10
• D 2 cm or 20 mm
Converting Fractions into Decimals
Divide the numerator (top number) into the
denominator (bottom number)
When we measure, we get fractions, but when
we have to work with our measurements, like
conversions, it is easier to work with decimals.
Problem 1
Measure lines 1, 2, and 3
Express your measured distance as a fraction,
then convert your answer to a decimal.
Problem 2
Measure lines 4, 5, and 6
Express your answers first in fractions of
centimeters, then convert to a decimal, and
finally express your answer in millimeters.
Converting Units of Measurement
Multiply original unit of measure by conversion
factor.
1 foot =12 inches
So
5 feet X 12 = 60 inches
Conversion Factors
1 foot = 12 inches
1 mile = 5,280 feet = 63,360 inches
1 gallon = 4 quarts
1 meter = 100 centimeters = 1,000 millimeters
1 kilometer = 1,000 meters
1 kilometer = 100,000 centimeters = 1,000,000
millimeters
Problems 3 - 10
Convert measurements within systems
Conversion Factors
1 mile = 1.6 kilometers
1 kilometer = .621 miles
1 kilogram = 2.205 pounds
1 pound = .454 kilograms
1 liter = 1.057 quarts
1 quart = .946 liters
Temperature Conversions
Use the following formulas to make conversions
between Celsius and Fahrenheit
F = (C × 1.8) + 32
C = (F – 32) ÷ 1.8
Problems 11 - 20
Convert between systems
Use conversion factors
Use temperature conversion formulas
Precision and Rounding
Rule for geography lab:
Always round to the nearest tenth, or one
decimal place.
Why?
Because we cannot be more precise than 1/10 of
a centimeter.
Problems 21 - 34 (30)
Round numbers to the nearest tenth, hundredth,
and whole number.
Precision and Rounding
Rule for geography lab:
Always round to the nearest tenth, or one
decimal place.
Why?
Because we cannot be more precise than 1/10 of
a centimeter.
Rounding
• Often numbers are not exact
• Is 3.2571429 correct or useful number?
Rounding
• No…
– It is usually implied that the greater number of
digits more precise.
• Not always
– Distance measurement is only accurate to
tenths of centimeters, so a final answer
should be no than one decimal point.
Rounding
Rounding
• If the first digit to be dropped is less than
5, leave the preceding digit.
• If the digit is greater than 5, increase the
preceding digit by one.
– Example: 6.74 = 6.7
• Example: 6.75 = 6.8

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Lab one

  • 1. Lab One: Measurement and Metric Conversions
  • 2. Metric System The metric system is a decimalized system of measurement.
  • 3. Metric System Since the 1960s the International System of Units ("Système International d'Unités" in French, hence "SI") has been the internationally recognized standard metric system.
  • 4. Metric units are widely used around the world for personal, commercial and scientific purposes. Metric System
  • 5. A standard set of prefixes in multiples of ten may be used to derive larger and smaller units. Metric System
  • 6. The Metric and Customary Systems of Measurement In today’s global environment, metric measurements are prominent in workplaces, consumer products, and news reports.
  • 7. Almost every other country in the world uses the metric system of measurement. Three nations have not officially adopted the International System of Units as their primary or sole system of measurement: Burma, Liberia, and the United States.
  • 8. The European Union, Japan, and Korea have passed legislation limiting international commerce to products measured in metric units. Countries by Date of Metrication
  • 9. If the United States is to continue to play a leading role in international business, using metric measurement is imperative and U.S. workers at all levels must be knowledgeable about the Système Internationale (SI), the international name for the metric system. The Metric and Customary Systems of Measurement
  • 10. Cargo errors - The confusion between pounds (mass) and kilograms sometimes means that aircrafts are overloaded. "the shipper's weights had been in kilograms, not pounds, and that, as a result, the aircraft was more than 30,000 pounds overweight". Importance of Conversion…
  • 11. Importance of Conversion… Gimli Glider — In 1983 a Boeing 767 jet ran out of fuel in mid-flight because of two mistakes in figuring the fuel supply of Air Canada's first aircraft to use metric measurements.
  • 12. Medical errors - Medical errors in the US are sometimes attributed to the confusion between grains and grams. A patient received phenobarbital 0.5 grams instead of 0.5 grains (0.03 grams) after the prescriber misread the prescription. Importance of Conversion…
  • 13. Mars Climate Orbiter — In 1999 NASA lost a $125 million Mars orbiter because one engineering team used metric units while another used US customary units for a calculation. Importance of Conversion…
  • 14. Metric System • One of the goals of the metric system is to have a single unit for any physical quantity.
  • 15. • Another important one is not needing conversion factors when making calculations with physical quantities. Metric System
  • 16. • All lengths and distances are measured in meters, or thousandths of a meter (millimeters), or thousands of meters (kilometers), and so on. Metric System
  • 17. • There are not different units with different conversion factors, such as inches, feet, yards, fathoms, rods, chains, furlongs, miles, nautical miles, leagues, etc. Metric System
  • 18. • Multiples and submultiples are related to the fundamental unit by factors of powers of ten, so that one can convert by simply moving the decimal place: 1.234 meters is 1234 millimeters, 0.001234 kilometers, etc. – The use of fractions, such as 2⁄7 of a meter, is not prohibited, but uncommon, as it is generally not necessary. Metric System
  • 19. • The US uses the English System of measurement. – Not even the English use the English system anymore. Metric System
  • 20. Metric System • The rest of the world, especially scientists, use the metric system, or System International (SI). • Since we are in the US, your lab manual uses both systems. – We need to be familiar and comfortable using both systems. – We also need to be able to convert units from one system to another.
  • 21. Measurement and Metric Conversions You will work with topographic maps You will have to measure distance Answers will be based on distance you measure Objective: learn good techniques first
  • 22. You will be measuring in inches and centimeters You will need to convert to useful units like feet and meters and miles or kilometers Measurement and Metric Conversions
  • 23. You will also need to convert from the English system of measurement to the System International or the Metric System and from SI to English. Measurement and Metric Conversions
  • 25. Objectives • Practice measuring • Practice converting within a system • Practice converting between systems • Practice rounding
  • 26. Measuring Distance Rulers have inches and centimeters Inches are divided into 16ths Centimeters are divided into 10ths, which are millimeters See the first picture • A 6/16 • B 12/16 • C 5/10 • D 2 cm or 20 mm
  • 27. Converting Fractions into Decimals Divide the numerator (top number) into the denominator (bottom number) When we measure, we get fractions, but when we have to work with our measurements, like conversions, it is easier to work with decimals.
  • 28. Problem 1 Measure lines 1, 2, and 3 Express your measured distance as a fraction, then convert your answer to a decimal.
  • 29. Problem 2 Measure lines 4, 5, and 6 Express your answers first in fractions of centimeters, then convert to a decimal, and finally express your answer in millimeters.
  • 30. Converting Units of Measurement Multiply original unit of measure by conversion factor. 1 foot =12 inches So 5 feet X 12 = 60 inches
  • 31. Conversion Factors 1 foot = 12 inches 1 mile = 5,280 feet = 63,360 inches 1 gallon = 4 quarts 1 meter = 100 centimeters = 1,000 millimeters 1 kilometer = 1,000 meters 1 kilometer = 100,000 centimeters = 1,000,000 millimeters
  • 32. Problems 3 - 10 Convert measurements within systems
  • 33. Conversion Factors 1 mile = 1.6 kilometers 1 kilometer = .621 miles 1 kilogram = 2.205 pounds 1 pound = .454 kilograms 1 liter = 1.057 quarts 1 quart = .946 liters
  • 34. Temperature Conversions Use the following formulas to make conversions between Celsius and Fahrenheit F = (C × 1.8) + 32 C = (F – 32) ÷ 1.8
  • 35. Problems 11 - 20 Convert between systems Use conversion factors Use temperature conversion formulas
  • 36. Precision and Rounding Rule for geography lab: Always round to the nearest tenth, or one decimal place. Why? Because we cannot be more precise than 1/10 of a centimeter.
  • 37. Problems 21 - 34 (30) Round numbers to the nearest tenth, hundredth, and whole number.
  • 38. Precision and Rounding Rule for geography lab: Always round to the nearest tenth, or one decimal place. Why? Because we cannot be more precise than 1/10 of a centimeter.
  • 39. Rounding • Often numbers are not exact • Is 3.2571429 correct or useful number?
  • 40. Rounding • No… – It is usually implied that the greater number of digits more precise. • Not always
  • 41. – Distance measurement is only accurate to tenths of centimeters, so a final answer should be no than one decimal point. Rounding
  • 42. Rounding • If the first digit to be dropped is less than 5, leave the preceding digit. • If the digit is greater than 5, increase the preceding digit by one. – Example: 6.74 = 6.7 • Example: 6.75 = 6.8