Scientific Notation What is a Power of Ten

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Scientific Notation What is a Power of Ten? BETA Regents Physics September 5 th,

Scientific Notation What is a Power of Ten? BETA Regents Physics September 5 th, 2008

 • In physics, we often use Scientific notation to write very large or

• In physics, we often use Scientific notation to write very large or very small numbers. 2, 300, 000, 000. 0 meters 12 10 8 6 4 2 9 7 5 1 11 3 is the same thing as 12 2. 3 x 10 meters

Powers of Ten watch the short movie "Powers of Ten", by Ray and Carles

Powers of Ten watch the short movie "Powers of Ten", by Ray and Carles Eames, 1977.

 • In the movie, you saw that some powers of ten had special

• In the movie, you saw that some powers of ten had special names Power of Ten 10^1 10^2 10^3 Name Ten Hundred Thousand 10^4 10^5 10^6 10^7 10^8 10^9 10^12 Ten Thousand Hundred Thousand Million Ten Million Hundred Million Billion Trillion

Prefixes • As physics, we often write a word to stand in for writing

Prefixes • As physics, we often write a word to stand in for writing a power of ten. • 2. 3 x 10^3 meters, we will write 2. 3 kilometers, or 2. 3 km. • 2. 3 x 10^(-3) meters, we will write. 0023 or 2. 3 millimeters.

Factor Prefix Symbol 1012 109 106 103 102 101 tera giga mega kilo hecto

Factor Prefix Symbol 1012 109 106 103 102 101 tera giga mega kilo hecto deka T G M k h da 10 -1 10 -2 10 -3 10 -6 10 -9 10 -12 deci centi milli micro nano pico d c m µ n p

Practice • Someone measured the empire state building to be 38100 centimeters. How many

Practice • Someone measured the empire state building to be 38100 centimeters. How many meters is this? • Would it have been easier to measure the building in meters? • Would it have been easier to measure the building in kilometers?

MAKE YOUR BEST GUESS. • How many kilometers away is Yankee stadium? • How

MAKE YOUR BEST GUESS. • How many kilometers away is Yankee stadium? • How many hectometers is the track outside? • How many milligrams does a grain of salt weigh?