2- Use scientific notation.

 

The scientific notation is used to simplify writing very small or very large numbers.  For example,

 

        154,000,000,000 can be written in scientific notation as 1.54 1011 .

 

        0.000 000 095 can be expressed in scientific notation as  9.5 10-8.

 

Question 4:  Suppose you have a very large box.  Its length is 2.0104 m, its width is 3.0103 m and its height is 1.0104 m.  What is the volume of this box?  If the box has a mass of 3.01012 kg what is its mass density?

 

For convenience, symbols are used to replace certain power of 10.  The most common ones are listed below

 Factor  Prefixes  Symbol  Example
 109  giga-  G  3.5109 W = 3.5 GW
 106  mega-  M  5.4106 W = 3.5 MW
 103  kilo-  k  6.5103 W = 6.5 kW
 10-3  milli-  m  1.510-3 W = 3.5 mW
 10-6  micro-  m  2.010-6 W = 2.0 mW
 10-9  nano-  n  1.210-9 W = 1.2 nW
 10-12  Pico-  p  4.210-12 W = 4.2 pW