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Perform the following operation and express the answer in scientific notation.

8.20x10^-2 x 2.50x10^6

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Frank C. | Professional and Passionate Math TutorProfessional and Passionate Math Tutor
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8.20 × 10-2 × 2.50 × 106 = 8.20 × 2.50 × 10-2 × 106                 by Commutative Property
                                      = (8.2 × 2.5) × (10-2 × 106)                by Associative Property
                                      = (82 × .25) × (10-2 + 6)                   by (transferring the decimal place) and (Exponent Laws)
                                      = 20.5          ×      104
                                      = 2.05 × 105                                   ; the important thing here is that only the first non-zero digit is in the ones place, and everything else is in the decimals. So if you have to decrease the number by a factor of 10, make sure to increase the magnitude by a factor of 10 so that we're still talking about the same value.
-Frank