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Which is the best estimate for the product of (3.3 x 10⁴) and (8.9 x 10⁸) written in scientific notation?

a. 2.93 * 10¹2
b. 29.3 * 10¹2
c. 293 * 10¹1
d. 293 * 10¹2

User Moud
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1 Answer

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Final answer:

The best estimate for the product of (3.3 x 10⁴) and (8.9 x 10⁸) in scientific notation is 29.37 x 10¹².

Step-by-step explanation:

To estimate the product of numbers in scientific notation, you can multiply the coefficient part and add the exponents. In this case, (3.3 x 10⁴) multiplied with (8.9 x 10⁸) would have a coefficient of 3.3 x 8.9 = 29.37. The exponents would be added: 4 + 8 = 12. Therefore, the best estimate for the product in scientific notation is 29.37 x 10¹², which corresponds to option (a).

User Al Berger
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