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Which sign makes the statement true?\newline1.50×101?1.5×1011.50 \times 10^1 \,?\, 1.5 \times 10^1\newlineChoices:\newline(A) >\newline(B) <\newline(C) ==

Full solution

Q. Which sign makes the statement true?\newline1.50×101?1.5×1011.50 \times 10^1 \,?\, 1.5 \times 10^1\newlineChoices:\newline(A) >>\newline(B) <<\newline(C) ==
  1. Exponents Comparison: We have 1.50×1011.50 \times 10^1 and 1.5×1011.5 \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.1.501.50 and 1.51.5 are the coefficients.1.501.50 is equivalent to 1.51.5 when considering significant figures.1.50=1.51.50 = 1.5
  3. Final Equality: Since the coefficients are equal and the exponents are equal, the two expressions are equal.\newline1.50×101=1.5×1011.50 \times 10^1 = 1.5 \times 10^1

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