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Powers: Scientific Notation

Given that $$0.001001 \times 10^q \gt 10^3$$, and $$q$$ is an integer, which of the following is the smallest possible value of $$q$$?
Incorrect. [[Snippet]] __Plug In__ $$q = 3$$: >$$ 0.001001 \times 10^q \gt 10^3$$ >$$0.001001 \times 10^3 \gt 10^3$$ Shift the decimal point three spaces to the right. >$$1.001 \ngtr 1{,}000$$ Since 1.001 is NOT greater than 1,000, this is NOT the correct answer.
Incorrect. [[Snippet]] __Plug In__ $$q = 4$$: >$$ 0.001001 \times 10^q \gt 10^3$$ >$$0.001001 \times 10^4 \gt 10^3$$ Shift the decimal point four spaces to the right >$$10.01 \ngtr 1{,}000$$ Since 10.01 is NOT greater than 1,000, this is NOT the correct answer.
Incorrect. [[Snippet]] __Plug In__ $$q = 5$$: >$$0.001001 \times 10^q > 10^3$$ >$$0.001001 \times 10^5 \gt 10^3$$ Shift the decimal point five spaces to the right >$$100.1 \ngtr 1{,}000$$ Since 100.1 is NOT greater than 1,000, this is NOT the correct answer.
Incorrect. [[Snippet]] Seven is not the least possible value for which $$0.001001 \times 10^q > 10^3$$. Hence, this is not the correct answer.
Correct. [[Snippet]] __Plug In__ $$q = 6$$: >$$ 0.001001 \times 10^q \gt 10^3$$ >$$0.001001 \times 10^6 \gt 10^3$$ Shift the decimal point six spaces to the right: >$$1{,}001 > 1{,}000$$ Since 1,001 is greater than 1,000, this is the correct answer.
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