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Which sign makes the statement true?\newline5.17×101?1.57×1015.17 \times 10^1 \,?\, 1.57 \times 10^1\newlineChoices:\newline(A) >\newline(B) <\newline(C) ==

Full solution

Q. Which sign makes the statement true?\newline5.17×101?1.57×1015.17 \times 10^1 \,?\, 1.57 \times 10^1\newlineChoices:\newline(A) >>\newline(B) <<\newline(C) ==
  1. Exponents Comparison: We have 5.17×1015.17 \times 10^1 and 1.57×1011.57 \times 10^1. \newlineAre the exponents the same or different?\newlineExponents are both 11. \newlineBoth exponents are the same.
  2. Coefficient Comparison: Since the exponents are the same, we can compare the coefficients directly.\newlineWhich sign makes the statement true?\newline5.17×1015.17 \times 10^1 ____ 1.57×1011.57 \times 10^1\newlineCompare the coefficients because the exponents are the same. \newlineCoefficients are 5.175.17 and 1.571.57. \newline5.17 > 1.57 \newline5.17 \times 10^1 > 1.57 \times 10^1.

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