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# Percents, Fractions, and Decimals - One Big Family

Given that $$0.0131 \times 10^q \gt 2^{-3}$$, and $$q$$ is an integer, which of the following is the smallest possible value of $$q$$?
Incorrect. [[Snippet]] The number 6 is not the least possible value in which $$0.0131 \times 10^q \gt 2^{-3}$$. Hence, this is not the correct answer.
Incorrect. [[Snippet]] The number 5 is not the least possible value in which $$0.0131 \times 10^q \gt 2^{-3}$$. Hence, this is not the correct answer.
Incorrect. [[Snippet]] The number 4 is not the least possible value in which $$0.0131 \times 10^q \gt 2^{-3}$$. Hence, this is not the correct answer.
Incorrect. [[Snippet]] Although 2 is a valid value for $$q$$, it isn't the smallest possible value in which $$0.0131 \times 10^q \gt 2^{-3}$$. Hence, this is not the correct answer.
Correct. [[Snippet]] __Plug In__ $$q = 1$$: >$$0.0131 \times 10^q =$$ >$$\rightarrow 0.0131 \times 10 =$$. Shift the decimal point one place to the right: >$$\rightarrow 0.131 \gt 0.125$$. >Since 0.131 is greater than 0.125, this is the correct answer.
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