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.
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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.
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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.
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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.
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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.
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__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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