Scientific Notation and Even More Unitary Rates

Scientific Notation (exponential notation)

• a way of writing numbers that accommodates values too large or small to be conveniently written in standard decimal notation
• is written like this  a×10^^b   and 1 ≤ |a| < 10
• eg. a)   323 will become 3.23 ×10^² 

                   b)  0.000004128 will become 4.128  ×10^^-6

• in calculator, the letter ''E'' or ''e'' represents times ten raised to the power of, thus replacing the × 10, followed by the value of the exponent  
•  if you want to enter 6.02 ×10^²³ then you press  6.02 E 23

• In Addidition or Subtraction, make sure all numbers are converted to the same power of 10, and the digit terms are added or subtracted. 

• In Multiplication or Division, The digit terms are multiplied (or divided) in the normal way and the exponents are added (or subtracted) 
• further information on basic operation can be found at  http://www.youtube.com/watch?v=iHrAMLY5-A0&feature=related

Even More Unitary Rates

• convert the unit which is squared or cubed
• if 1km = 10³m, what is 1km², 1km³ equal to ? 
• the answer will be 10⁶m² and 10⁹m³ because 10²⁽³⁾ and 10³⁽³⁾
• if the unit is squared, then the power will be doubled
• if the unit is cubed, then the power will be tripled....and so on
• Ex.   8.93m^² to cm^²

                   1m^² = 1000000cm^²  , 1m^²× 8.93 = 8930000cm²= 8.93×10⁶cm²

            ^{**WATCH VIDEO**  [ how to convert units]
                **WATCH VIDEO**   [discovering math - scientific notation]}