P H Y S I C S Chapter 0: Measurements in Physics Section 0B: Scientific Notation & SI Prefixes Objectives: 1)Convert numbers into scientific notation form 2)Convert numbers into SI prefix form

Imperial vs. SI What are some examples of each?

Imperial System

SI System Base-10 for easy conversion 1000 m = kilo-meter How many meters in 3 kilometers? How many meters in 9 kilometers? How many kilometers in 6000 meters?

Common Units in Imperial 12 inches = 1 foot 5280 feet = 1 mile How many feet in 3 miles? How many feet in 9 miles? How many miles is feet?

Scientific Notation For very large or very small numbers Large: Speed of light: 300,000,000 m/s Small: Mass of a dust particle: kg = 3 x 10 8 m/s = 7.53 x kg

Writing Scientific Notation 1.Put new decimal after first non-zero number 2.Count places decimal moves Left = Positive Right = Negative 3.Write in exponent form m/s 8 PLACES TO LEFT (+) 3 x 10 8 m/s

Writing Scientific Notation m/s 9 PLACES TO LEFT (+) 6.38 x 10 9 m/s kg 10 PLACES TO RIGHT (−) 7.53 x kg

Practice Write the following in Scientific Notation: 1)314,000,000,000 2)986,000,000,000,000 3) ) = 3.14 x = 9.86 x = 7.5 x = 2 x 10 -8

SI Prefix Name that precedes a base unit  7.1 x m = 7.1 nm  5 x 10 9 b = 5 Gb

Convert to Prefix Form 1)7.8 x 10 9 m 2)6.3 x s 3)5.4 x 10 6 g 4)3.7 x m = 7.8 Gm = 6.3 ps = 5.4 Mg = 3.7 nm

Convert to Scientific Notation 1)4.0 μm 2)1.9 ms 3)5.2 cm 4)8.4 km = 4.0 x m = 1.9 x s = 5.2 x m = 8.4 x 10 3 m

Powers of Ten (IBM 1977) Video Clip

Solutions to Problem Set 0B 1)1.1 x )7.4 x )9.24 x )4.55 x )9.5 x )2.0 x )68,700,000 8)18,800 9)1,740,000 10)820,000 11)2.6 x )8.5 x )7.6 x )6.0 x )2.5 x )9.3 x )1 Mm 18)2 ns 19)6 kg 20)18 cm 21)3 Gm 22)5 μg

Assignment Problem Set 0B 0A-0B Quiz (Measurements in Physics)