Sunday, 25 September 2011

Sig Figs and Scientific Notation




I. Significant Figures
     A. Non-zero numbers are significant
          a. Ex. 1, 2, 3, 4, ect.
     B. Place-keeping zeros are not significant
          a. Ex. 2,000 -> the zeros after the 2 are not significant
     C. Numbers after a decimal are significant
          a. Ex. 0.2310
     D. Zeros (that are not place-keeping zeros), that are found after a number are significant
          a. 0.0006405300
     E. Adding and Subtracting
          a. Round to the lowest significant digit
               1. Ex. 12.33 + 22.1234 = 34.4534 -> 34.45 FOUR SIG FIGS
     F. Multiplying and Dividing
          a. Round to the lowest significant digit
               1. Ex. 7.364 x 6.0 = 44.184 -> 44 TWO SIG FIGS
II. Scientific Notation
     A. Used to express very large or very small numbers
     B. Construction
          a.  a \times 10^b
               1. a = any real number
               2. b = exponent
          b. Ex. 2.1 x 10³ = 2100
   


- Nicole

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