Bacteriology 102: Use of Scientific Notation


So 46,700 = 467 X 100 = 4.67 X 10,000 = 4.67 X 10^{4},
backwards and forwards.
4,000,000 = 4.0 X 1,000,000 = 4.0 X 10^{6} 
To change 0.0035 to a number with one digit before the decimal point, one moves the decimal point to the right three places, thus making 3.5 which is 1000 times (i.e., 10^{3} times) greater than 0.0035. To compensate, we can divide 3.5 by 1000 which amounts to multiplying 3.5 by 1/1000, subsequently getting 3.5 X [1/10^{3}] and 3.5 X 10^{–3}.
0.000043 = 4.3/100,000 = 4.3 X [1/100,000] = 4.3 X [1/10^{5}] = 4.0 X 10^{–5} 
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Page last modified on 8/25/04 at 6:30 PM, CDT. 