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Which sign makes the statement true?\newline1.26×1011.26 \times 10^1 ?? 1.6×1011.6 \times 10^1\newlineChoices:\newline(A) >\newline(B) <\newline(C) ==\newline

Full solution

Q. Which sign makes the statement true?\newline1.26×1011.26 \times 10^1 ?? 1.6×1011.6 \times 10^1\newlineChoices:\newline(A) >>\newline(B) <<\newline(C) ==\newline
  1. Exponents Comparison: We have 1.26×1011.26 \times 10^1 and 1.6×1011.6 \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 directly compare the coefficients 1.261.26 and 1.61.6. Which sign makes the statement true? 1.261.26 ____ 1.61.6 Compare the coefficients because the exponents are the same. 1.26 < 1.6
  3. Final Comparison: Therefore, the correct sign to make the statement true is "<". 1.26 \times 10^1 < 1.6 \times 10^1

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