1. Chapter 3 Scientific Measurement 3.3 Solving Conversion Problems
3.1 Using and Expressing
Measurements
3.2 Units of Measurement
3.3 Solving Conversion
Problems
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2. Do Now:
A fish tank measures 40.5 cm long by 20.5 cm wide by 30.5 cm high. The density of water is 1.00 g/cm3. What mass of water will fill the tank half way?
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3. 1 dollar = 4 quarters = 10 dimes =
Conversion Factors
A quantity can be expressed in different ways.
1 dollar = 4 quarters = 10 dimes =
20 nickels = 100 pennies
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4. Conversion factor: ratio of equivalent measurements.
Conversion Factors
Conversion factor: ratio of equivalent measurements.
1 dollar = 4 quarters
conversion factors
1 dollar
4 quarters
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5. 1 inch = 2.54 cm Conversion Factors 1 inch or 2.54 cm
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6. Dimensional Analysis
Dimensional analysis is a way to analyze and solve problems using the units, or dimensions, of the measurements.
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7. Commonly Used Metric Prefixes
Symbol
Multiplier
Factor
Example
kilo k
1000
103
1 km = 1000 m
deca da 10
101
1 dm = 10 m
centi c
0.01
10-2
1 cm = 0.01 m
milli m
0.001
10-3
1 mm = m
micro
10-6
1 µm = m
nano n
10-9
1 nm = m
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8. Using Dimensional Analysis
Sample Problem 3.9
Using Dimensional Analysis
How many seconds are in a workday that lasts exactly eight hours?
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9. Converting Between Metric Units
Sample Problem 3.13
Converting Between Metric Units
The diameter of a sewing needle is cm. What is the diameter in micrometers?
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10. END OF 3.3
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