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Which is the best estimate for (2.8 x 10²) (4.1 x 10⁶) written in scientific notation?

A) 7 x 10⁸
B) 1.2 x 10¹⁰
C) 1.5 x 10¹⁰
D) 12 x 10¹⁸

1 Answer

5 votes

Final answer:

The best estimate for (2.8 x 10²) (4.1 x 10⁶) in scientific notation is 1.148 x 10⁸.

Step-by-step explanation:

To find the best estimate for (2.8 x 10²) (4.1 x 10⁶) in scientific notation, we need to multiply the coefficients and add the exponents. The product of 2.8 and 4.1 is 11.48, and the sum of the exponents 2 and 6 is 8. Therefore, the best estimate in scientific notation is 1.148 x 10⁸. Answer choice A) 7 x 10⁸ is the closest, but it's not the best estimate.

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