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Select all of the true statements.\newlineMulti-select Choices:\newline(A) 6×1046 \times 10^{-4} is 300300 times as much as 2×1062 \times 10^{-6}.\newline(B) 7×1047 \times 10^{4} is 3.53.5 times as much as 2×1042 \times 10^{4}.\newline(C) 2×1062 \times 10^{-6} is 0.010.01 times as much as 2×1082 \times 10^{-8}.\newline(D) 9×1049 \times 10^{4} is 30030000 times as much as 30030011.

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Q. Select all of the true statements.\newlineMulti-select Choices:\newline(A) 6×1046 \times 10^{-4} is 300300 times as much as 2×1062 \times 10^{-6}.\newline(B) 7×1047 \times 10^{4} is 3.53.5 times as much as 2×1042 \times 10^{4}.\newline(C) 2×1062 \times 10^{-6} is 0.010.01 times as much as 2×1082 \times 10^{-8}.\newline(D) 9×1049 \times 10^{4} is 30030000 times as much as 30030011.
  1. Check Statement (A): To check statement (A), compare 6×1046 \times 10^{-4} and 2×1062 \times 10^{-6} by dividing the former by the latter: (6×104)/(2×106)=62×10(4+6)=3×102=300(6 \times 10^{-4}) / (2 \times 10^{-6}) = \frac{6}{2} \times 10^{(-4+6)} = 3 \times 10^2 = 300. So, (A) is true.
  2. Verify Statement (B): For statement (B), compare 7×1047 \times 10^4 and 2×1042 \times 10^4: (7×104)/(2×104)=7/2=3.5(7 \times 10^4) / (2 \times 10^4) = 7/2 = 3.5. So, (B) is true.
  3. Confirm Statement (C): To verify statement (C), compare 2×1062 \times 10^{-6} and 2×1082 \times 10^{-8}: (2×106)/(2×108)=2/2×10(6+8)=1×102=100(2 \times 10^{-6}) / (2 \times 10^{-8}) = 2/2 \times 10^{(-6+8)} = 1 \times 10^2 = 100. This means (C) is false because 2×1062 \times 10^{-6} is 100100 times as much as 2×1082 \times 10^{-8}, not 0.010.01 times.

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