You multiply the mantissas, and add the exponents. After that, you may wish to normalize.
Example: 2x105 x 6x106 = 12 x 1011. Notice that I multiplied 2 x 6 to obtain 12, and that I added 5 + 6 to obtain the new exponent, 11. You may wish to normalize this result to 1.2 x 1012.
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200,000 in Scientific Notation = 2 x 105
Using scientific notation reduces the need to write out very large or very small numbers as the following examples show:- 1,000,000,000,000 = 1.0*1012 in scientific notation 0.0000000001 = 1.0*10-10 in scientific notation
The point of using scientific notation is to compute very large or very small numbers.
4000 in scientific notation is 4 x 103
0.0000072 in Scientific Notation = 7.2 x 10-6