Metric Prefixes One larger thing equals many smaller things Prefix Abbreviation One larger Many smaller centi- (c) 1 g = 100 cg kilo- (k) 1 kg = 1000 g Mega- (M) 1 Mg = 1000000 g deci- (d) 10 dg milli- (m) 1000 mg micro- (µ) 1000000 µg

Prefix Questions ______ m = 1 km ______km = 1 m milliliter or centiliter kilogram or megagram millimeter or kilometer A penny = 1 ______ dollar A dime = 1 ______ dollar A megabuck = ________ dollars A kilopenny = __________ dollars (tricky) 1000 0.001 centi deci 1000000 10

Prefix to Base Unit Questions _________ kilometers grams Mass of a teaspoon of water liters Distance to beach micrograms Volume of balloon Megaseconds Time light travels from earth to nearest star Mass of an atom 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 m 100 cm 100 cm 1 m 152 cm 1 m = 1.52 m 100 cm Episode 104

Another Conversions Dimensional Analysis or T-Factor Convert 62 kg to g Write in form of a question 62 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 kg 1000 g 1000 g 1 kg 62 kg 1000 g = 62000 g 1 kg Episode 104

Divide or Multiply? LET THE UNITS TELL YOU! Convert 1700 µs to ds Write in form of a question 1700 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 s 1x106µs 1x106µs 1 s 1 s 10 ds 10 ds 1 s 1700 µs 1 s 10 ds = 0.017 ds 1x106 µs 1 s Episode 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 µm 60000 L 1.4 x 10-10 km 4.5 Ms 100000 yds Episode 104