Sunday, September 26, 2010

Scientific Notation And Square & Cubic Rates (by Bev)

SCIENTIFIC NOTATION


Scientific notation is a way to express very small or very large numbers.  The number in standard form (or decimal notation), must be
  • between 1 & 9.9999999...
  • multiplied by 10 to the appropriate power
ex. a) 25,100,000,000 = 2.51 x 10^10

b) 0.0000000302 = 3.02 x 10^-8

c) 3.25 x 10^8 = 325,000,000

d) 7.86 x 10^-5 = 0.0000786

SQUARE & CUBIC UNIT RATES

If 1m = 100cm
   1m^2 = 10,000cm^2              (100cm x 100cm)
   1m^3 = 1,000,000cm^3         (100cm x 100cm x100cm)

ex. a) 8.1m^3 --> km^3

Think first!

10^3m = 1km
therefore...
10^9m^3 = 1km^3

8.1m^3 x km^3/10^9m^3 = 8.1 x 10^-9

b) 4.3dm^2 --> Gm^2

dm  --> m --> Gm

10^2 dm^2 = 1m^2           (10 x 10)
10^18m^2 = 1Gm^2         (10^9 x 10^9)
4.3dm^2 x m^2 / 10^2dm^2 x Gm^2 / 10^18m^2

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