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Which sign makes the statement true?\newline7.7×1027.7 \times 10^2 ?\text{?} 7×1027 \times 10^2\newlineChoices:\newline(A) >\newline(B) <\newline(C) ==

Full solution

Q. Which sign makes the statement true?\newline7.7×1027.7 \times 10^2 ?\text{?} 7×1027 \times 10^2\newlineChoices:\newline(A) >>\newline(B) <<\newline(C) ==
  1. Exponents Comparison: We have 7.7×1027.7 \times 10^2 and 7×1027 \times 10^2. Are the exponents the same or different?\newlineExponents are both 22.\newlineBoth exponents are the same.
  2. Direct Coefficients Comparison: Since the exponents are the same, we can compare the coefficients directly.\newline7.7?77.7 ? 7\newlineWhich is larger?\newline7.77.7 is larger than 77.
  3. Determining Larger Value: Because 7.77.7 is larger than 77, the correct sign to make the statement true is: 7.7 \times 10^2 > 7 \times 10^2

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