metric prefixes
DESCRIPTION
Metric Prefixes. Look along on your Conversion Factor sheet. Metric System Review. Metric Prefix. Metric Prefix – symbol that goes in front of a base unit that indicates a portion of that unit Example: kilo + meter = kilometer = 1,000 meters 1 km = 1,000 m - PowerPoint PPT PresentationTRANSCRIPT
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Metric PrefixesLook along on your
Conversion Factor sheet
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Metric System Review
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Metric PrefixMetric Prefix – symbol that goes in
front of a base unit that indicates a portion of that unit
Example:kilo + meter = kilometer = 1,000 meters
1 km = 1,000 m
Common Base Units: meters (m), grams (g), Liters (L), seconds (s)
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1 Megameter = 1Mm
Mega = M
1 Mm = 1,000,000 m = 106 m
1 Megameter = From here to Oklahoma
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1 kilometer = 1km
kilo = k
1 km = 1,000 m = 103 m
2.5 laps = 1 kilometer
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1 centimeter = 1cm
centi = c
1 m = 100 cm = 102 cm
The width of your thumb = 1 cm
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1 millimeter = 1 mm
milli = m
1 m = 1000 mm = 103 mm
The width of a quarter = 1 mm
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1 micrometer = 1 μm
micro = μ
1 m = 1,000,000 μm = 106 μm
The width of a hair = 1 μm
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Example 1)How many centimeters (cm) are in 1 meter (m)?
Prefix: centi-Base unit: meters
m m
1m = 100cm
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Example 2)How many milligrams (mg) are in 1 gram (g)?
Prefix: milli-Base unit: gram
g g
1g = 1000mg
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Quick Check 1What is the relationship between Liters (L) and
kiloLiters (kL)?Prefix: kilo-Base unit: Liter
L L
1000L = 1kL
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Quick Check 2How many nanosecond (ns) are in 1 second (s)?
Prefix: nano-Base unit: second
s s
1s = 109 ns
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Conversion Factors
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Why do we need conversions?
Line is 2.75 inches longWe need to know the length in cm
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Part 1: Writing Conversion Factors as Ratios
ExampleFor each conversion
factor, there are
ratios possible.
1 in = 2.54 cm
2
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Part 1: Writing Conversions as RatiosLet’s Practice: 1,000 mg = 1 g
What are my possible ratios?
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Part 2: Writing Ratios from a ProblemStep Example
1) Find your known (this is the unit you want to convert) and your unknown.
2.75 in = ________ cm
Known: in
Unknown: cm
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Part 2: Writing Ratios from a ProblemStep Example
2) Find the conversion factor that includes both known and unknown units.
2.75 in = ________ cm
Known: in
Unknown: cm
Relationship: 2.54cm = 1in
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Part 2: Writing Ratios from a ProblemStep Example
3) Write this conversion factor as a ratio.
2.75 in = ________ cm
Relationship: 2.54cm = 1in
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Part 2: Writing Ratios from a ProblemLet’s Practice: Step 1
6,280 m = _____________ km
Known: m
Unknown: km
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Part 2: Writing Ratios from a ProblemLet’s Practice: Step 2
6,280 m = _____________ km
1,000 m = 1 km
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Part 2: Writing Ratios from a ProblemLet’s Practice: Step 3
6,280 m = _____________ km
1,000 m = 1 km
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Conversion Problems
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Solving Conversion ProblemsStep Example 1
1) Set up the equation. The known goes in the upper left corner.
2.75 in = ________ cm
2.75 in
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Solving Conversion ProblemsStep Example 1
2) On the right side, put the conversion factor that will cancel.
2.75 in = ________ cm
2.75 in
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Solving Conversion ProblemsStep Example 1
3) Multiply across the top, then divide.
2.75 in = ________ cm
2.75 in= 6.985 cm
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Solving Conversion ProblemsExample 2)
6,280 m = _____________ km
6,280 m
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Solving Conversion ProblemsExample 2)
6,280 m = _____________ km
6,280 m
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Solving Conversion ProblemsExample 2)
6,280 m = _____________ km
6,280 m= 6.28 km