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Write [tex]2.00 \times 10^{22} \times 8.48 \times 10^{11}[/tex] in scientific notation.

A. [tex]1.70 \times 10^{33}[/tex]

B. [tex]1.70 \times 10^{33}[/tex]

C. [tex]1.70 \times 10^{33}[/tex]

D. [tex]1.70 \times 10^{33}[/tex]

Answer :

Final answer:

To write the product of 2.00x10²² and 8.48x10¹¹ in scientific notation, multiply the significant figures to get 1.696, round to three significant figures, and then combine the exponents to get 1.70x10³³.

Explanation:

To write 2.00x10²² x 8.48x10¹¹ in scientific notation, first multiply the significant figures (2.00 and 8.48) to get 16.96. However, since scientific notation requires that the first number be greater than or equal to 1 and less than 10, we adjust this to 1.696 and increase the exponent by 1. Then, add the exponents (22 and 11) to get 33. Therefore, the product in scientific notation is 1.696x10³³. However, this product needs to be rounded to three significant figures since the original numbers were given to three significant figures, which results in 1.70x10³³.

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Rewritten by : Jeany