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