Metric Prefixes• One larger thing equals many smaller things
Prefix Abbreviation One larger Many smaller centi- (c) 1 g = 100 cgkilo- (k) 1 kg = 1000 g
Mega- (M) 1 Mg = 1000000 g
deci- (d) 1 g = 10 dgmilli- (m) 1 g = 1000 mg
micro- (µ) 1 g = 1000000 µg
Prefix Questions1. ______ m = 1 km2. ______km = 1 m3. milliliter or centiliter4. kilogram or megagram5. millimeter or kilometer6. A penny = 1 ______ dollar7. A dime = 1 ______ dollar8. A megabuck = ________ dollars9. A kilopenny = __________ dollars (tricky)
10000.001
centideci
1000000 10
Prefix to Base Unit Questions
1. _________2. _________3. _________4. _________5. _________
kilometers
Mass of a teaspoon of
water
grams
Volume of balloon
Distance to beach
Mass of an atom
Time light travels from earth to nearest star
litersmicrogramsMegaseconds
Episode 104
Conversions• Dimensional Analysis or T-Factor• Convert 152 cm to m
– Write in form of a question? M = 152 cm
• Conversion factor – a statement of fact expressed as a fraction equaling one– Allows you to convert from one unit to another unit
of measurement• Fact: 1m = 100 cm, so or
• Set units to cancel out
• Add numerical values for units• Do the math!
1 m100 cm 1 m
100 cm
152 cmcmm
100
1 = 1.52 m
Episode 104
Another Conversions• Dimensional Analysis or T-Factor• Convert 62 kg to g– Write in form of a question62 kg = ? g
• Conversion factor • Fact: 1 kg = 1000 g, so or
• Set units to cancel out
• Add numerical values for units• Do the math!
1 kg1000 g 1 kg
1000 g
62 kg kg
g10001 = 62000 g
Episode 104
Divide or Multiply?• LET THE UNITS TELL YOU!• Convert 1700 µs to ds
– Write in form of a question1700 µs = ? ds
• Conversion factor • Fact: 1 s = 1x106µs, so or
• Fact: 1 s = 10 ds, so or
• Set units to cancel out• Add numerical values for units• Do the math!
1 s1x106µs
1700 µs µs
s1x106
1 = 0.017 ds
1 s1x106µs
1 s10 ds
10 ds1 s
sds1
01Episode 104
Problem Set One• 59 dg to g• 9.8 cm to µm• 60 L to mL• 1.4 x 10-7 m to km• 4500 ks to Ms• How many yards
are in 91.44 km? – (2.54 cm = 1 inch)
5.9 g
98000 µm60000 L
1.4 x 10-10 km
4.5 Ms
100000 yds
Episode 104