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Which sign makes the statement true?\newline2.3×1022.3 \times 10^2 ?? 4.30×1024.30 \times 10^2\newlineChoices:\newline(A) >\newline(B) <\newline(C) ==\newline

Full solution

Q. Which sign makes the statement true?\newline2.3×1022.3 \times 10^2 ?? 4.30×1024.30 \times 10^2\newlineChoices:\newline(A) >>\newline(B) <<\newline(C) ==\newline
  1. Exponents Comparison: We have 2.3×1022.3 \times 10^2 and 4.30×1024.30 \times 10^2. Are the exponents the same or different?\newlineExponents are both 22.\newlineBoth exponents are the same.
  2. Coefficient Comparison: Since the exponents are the same, we can compare the coefficients directly. \newline2.32.3 ____ 4.304.30\newlineWhich number is greater?\newline2.3 < 4.30
  3. Final Inequality: Since 2.32.3 is less than 4.304.30, the correct inequality sign is "<".\newline2.3 \times 10^2 < 4.30 \times 10^2

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