1. Scientific Notation
Definition: A method of expressing numbers in terms of a decimal number between 1 and 10 multiplied by a power of 10.
Example: The Scientific Notation for 10,492 is X 10 .
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2. How it works 10 x 10 = 100 or 10 Working the other way 100.2
10 x 10 = 100 or 10
Working the other way
100.
Now move the decimal to the left two places so you have
1. X or X 10 x10 2

3. Going the other way. Lets say you have a very small number for example
Move the decimal to the right and then count the number of time you moved it.
5. X 10
What is happening is 5. x
10 x 10 x 10 x 10 x10 x 10 x 10 -6

4. Application
Scientific Notation is used to easily describe very large and very small things. Most of the time it is used by Scientists. For example if you are studying the size of the planets in the solar system it may be easier to communicate with Scientific Notation. If you are studying Chemistry and are trying to describe atomic mass it is easier to communicate in Scientific Notation.

5. Example Chemistry (Avogadro’s number) A Mole = 6.02 X 10
This is the number of atoms or one mole of atoms per 12 grams of carbon 12.
The circle represents one Mole and
contains many atoms inside of it.
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6. Things to consider
In Avogadro’s number are there a lot or little atoms inside of a Mole?
How do you know?
Is a mole large or small?

7. Example 2 Covert to Scientific Notation
Planet Distance (from Sun) Diameter
Mercury 57,910,000 km A.U. 4,800 km
Venus 108,200,000 km A.U. 12,100 km
Earth 149,600,000 km A.U. 12,750 km
Mars 227,940,000 km A.U. 6,800 km
Jupiter 778,330,000 km A.U. 142,800 km
Saturn 1,429,400,000 km A.U. 120,660 km
Uranus 2,870,990,000 km A.U. 51,800 km
Neptune 4,504,300,000 km A.U. 49,500 km
Pluto 5,913,520,000 km A.U. 3,000 km
Definition: Astronomical Unit (AU) : The average distance from the Earth to the Sun. One AU = 93 million miles or million km. At 100 mph (160 kph) it would take more than 100 years to go 1 AU.

8. Converted Solution: Mercury 5.7x107 4.8x103 Venus 1.082x108 1.21x104
Earth 1.496x x104
Mars x x103
Jupiter x x105
Saturn x x105
Uranus x x104
Neptune x x104
Pluto x109 3x103

9. Practice Convert to Scientific notation 45,321 2) .000083
45, )
3) ) 89,627,235