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Metric System
Types of Measurements
• Length-measure of distance
– Measured with a meter stick or ruler
• Volume-measure of how much
space an object takes up
– Measured with a graduated
cylinder, by water displacement, or
by equation
• cube volume=length X width X height
(LXWXH)
• Mass-technically a measure of
matter, but here on Earth it is the
same thing as weight
– Measured with a triple-beam-
balance
Metric System
• The metric system is based
on a base unit for each
measurement
•Length = meter
•Volume = liter
•Mass(Weight) = gram
•Temperature = Celsius
•Time = seconds
• Prefixes plus base units
make up the metric system
– Example:
•Centi + meter = Centimeter
Metric System
• The three prefixes that we will use
the most are:
– kilo
– centi
– milli
kilo hecto deka
Base Units
meter
gram
liter
deci centi milli
Metric System
• These prefixes are based on powers
of 10.
• From each “step” is either:
•10 times larger
or
•10 times smaller
kilo hecto deca
Base Units
meter
gram
liter
deci centi milli
Why 10 times larger?
– Units that are 10 times larger
or smaller are easier to
convert.
1 centimeter = 10 millimeters
1 mm 1 mm 1 mm 1 mm 1 mm 1 mm 1 mm 1 mm 1 mm 1 mm
1 cm
40
41
41
40
Metric System
• For each “step” to right,
you are multiplying by 10
1 liter = 10 deciliters = 100 centiliters
2 grams = 20 decigrams = 200 centigrams
kilo hecto deca
meter
liter
gram
deci centi milli
( 1 x 10 = 10) = (10 x 10 = 100)
(2 x 10 = 20) = (20 x 10 = 200)
Metric System
• An easy way to move within the metric
system is by moving the decimal point one
place for each “step”
1 meter = 10 decimeters = 100 centimeters
or
1.00 meter = 10.0 decimeters = 100. centimeters
kilo hecto deca
meter
liter
gram
deci centi milli
Metric System
• Now let’s try from meters to kilometers:
1600 meters = 160 decameters
16 hectometers
1.6 kilometers
kilo hecto deca
meter
liter
gram
deci centi milli
Metric System
• If you move to the left in the diagram,
move the decimal to the left
• If you move to the right in the diagram,
move the decimal to the right
kilo hecto deca
meter
liter
gram
deci centi milli
Clicker Question
• How many milliliters are in a 2 liter
bottle of soda?
A. 0.002
B. 200
C. 2000
D. 20
kilo hecto deca
meter
liter
gram
deci centi milli
Clicker Question
• How many kilometers do they run in
a 1600 meter relay?
A. 160,000
B. 160
C. 16
D. 1.6
kilo hecto deca
meter
liter
gram
deci centi milli
Temperature
• Celsius Scale is based on water
– The freezing point of water is 0OC
– The boiling point of water is 100OC
Temperature Conversion
• The equations to convert between
Fahrenheit and Celsius are:
°F = (1.8 x °C) +32
°C = (°F-32) x 0.555
Example
• If it is 80°F outside, what is the
temperature in °C?
°C = (°F-32) x 0.555
°C = (80-32) x 0.555
°C = (48) x 0.555
°C = 26.6
Clicker Question
• If a substance is 80°C, what is the
temperature in °F?
°F = (1.8 x °C) +32
°F = (1.8 X 80) + 32
°F = (144) + 32
°F = 176
A.114
B.176
C.4608
D.112
Density
• Density is calculated by dividing the mass
of an object by the volume.
Density = Mass/Volume
• For example 1mL of water has a mass of
1g.
Density = Mass/Volume
Density = 1g/1mL
Density = 1g/mL
• Objects with a density less than 1g/mL will
float in water and objects with a density
greater than 1g/mL will sink in water
Clicker Question
• What is the density of a box with a
mass of 40 g and a volume of 50 mL
D = mass/volume
D = 40g / 50 mL
D = 0.8 g/mL
A. 0.8 g/mL
B. 12.5 g/mL
C. 90 g/mL
D. Impossible
to Calculate
Clicker Question
• What units would you use to
measure the mass of your neighbor?
A. g
B. m
C. L
D. kg
Clicker Question
• What units would you use to
measure the length of your pencil?
A. m
B. g
C. km
D. cm

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Metrics

  • 2. Types of Measurements • Length-measure of distance – Measured with a meter stick or ruler • Volume-measure of how much space an object takes up – Measured with a graduated cylinder, by water displacement, or by equation • cube volume=length X width X height (LXWXH) • Mass-technically a measure of matter, but here on Earth it is the same thing as weight – Measured with a triple-beam- balance
  • 3. Metric System • The metric system is based on a base unit for each measurement •Length = meter •Volume = liter •Mass(Weight) = gram •Temperature = Celsius •Time = seconds • Prefixes plus base units make up the metric system – Example: •Centi + meter = Centimeter
  • 4. Metric System • The three prefixes that we will use the most are: – kilo – centi – milli kilo hecto deka Base Units meter gram liter deci centi milli
  • 5. Metric System • These prefixes are based on powers of 10. • From each “step” is either: •10 times larger or •10 times smaller kilo hecto deca Base Units meter gram liter deci centi milli
  • 6. Why 10 times larger? – Units that are 10 times larger or smaller are easier to convert. 1 centimeter = 10 millimeters 1 mm 1 mm 1 mm 1 mm 1 mm 1 mm 1 mm 1 mm 1 mm 1 mm 1 cm 40 41 41 40
  • 7. Metric System • For each “step” to right, you are multiplying by 10 1 liter = 10 deciliters = 100 centiliters 2 grams = 20 decigrams = 200 centigrams kilo hecto deca meter liter gram deci centi milli ( 1 x 10 = 10) = (10 x 10 = 100) (2 x 10 = 20) = (20 x 10 = 200)
  • 8. Metric System • An easy way to move within the metric system is by moving the decimal point one place for each “step” 1 meter = 10 decimeters = 100 centimeters or 1.00 meter = 10.0 decimeters = 100. centimeters kilo hecto deca meter liter gram deci centi milli
  • 9. Metric System • Now let’s try from meters to kilometers: 1600 meters = 160 decameters 16 hectometers 1.6 kilometers kilo hecto deca meter liter gram deci centi milli
  • 10. Metric System • If you move to the left in the diagram, move the decimal to the left • If you move to the right in the diagram, move the decimal to the right kilo hecto deca meter liter gram deci centi milli
  • 11. Clicker Question • How many milliliters are in a 2 liter bottle of soda? A. 0.002 B. 200 C. 2000 D. 20 kilo hecto deca meter liter gram deci centi milli
  • 12. Clicker Question • How many kilometers do they run in a 1600 meter relay? A. 160,000 B. 160 C. 16 D. 1.6 kilo hecto deca meter liter gram deci centi milli
  • 13. Temperature • Celsius Scale is based on water – The freezing point of water is 0OC – The boiling point of water is 100OC
  • 14. Temperature Conversion • The equations to convert between Fahrenheit and Celsius are: °F = (1.8 x °C) +32 °C = (°F-32) x 0.555
  • 15. Example • If it is 80°F outside, what is the temperature in °C? °C = (°F-32) x 0.555 °C = (80-32) x 0.555 °C = (48) x 0.555 °C = 26.6
  • 16. Clicker Question • If a substance is 80°C, what is the temperature in °F? °F = (1.8 x °C) +32 °F = (1.8 X 80) + 32 °F = (144) + 32 °F = 176 A.114 B.176 C.4608 D.112
  • 17. Density • Density is calculated by dividing the mass of an object by the volume. Density = Mass/Volume • For example 1mL of water has a mass of 1g. Density = Mass/Volume Density = 1g/1mL Density = 1g/mL • Objects with a density less than 1g/mL will float in water and objects with a density greater than 1g/mL will sink in water
  • 18. Clicker Question • What is the density of a box with a mass of 40 g and a volume of 50 mL D = mass/volume D = 40g / 50 mL D = 0.8 g/mL A. 0.8 g/mL B. 12.5 g/mL C. 90 g/mL D. Impossible to Calculate
  • 19. Clicker Question • What units would you use to measure the mass of your neighbor? A. g B. m C. L D. kg
  • 20. Clicker Question • What units would you use to measure the length of your pencil? A. m B. g C. km D. cm