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What is (3.1 x 10)(2.2x10⁷) in scientific notation?

a) 5.5x 10¹²
b) 6.82x 10¹²
c) 5.5x 10³⁵
d) 6.82 x 10³⁵

1 Answer

4 votes

Final answer:

After multiplying 3.1 x 10 and 2.2 x 10^7 together, the result is 6.82 x 10^8, which does not match any of the given options, indicating a possible error in the provided choices.

Step-by-step explanation:

The question asks for the product of two numbers in scientific notation: (3.1 x 10) and (2.2 x 107). First, we multiply the coefficients (3.1 and 2.2), which gives us 6.82. Then, we add the exponents (1 from 101 and 7 from 107) since we are multiplying powers of 10, giving us 101+7 or 108. The result is thus 6.82 x 108. However, as none of the provided options matches this result, it seems there might be an error in the choices given or in the initial question provided by the student.

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