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Which sign makes the statement true?\newline310,000?9.31×105310,000 \, ? \, 9.31 \times 10^5\newlineChoices:\newline(A) >\newline(B) <\newline(C) ==

Full solution

Q. Which sign makes the statement true?\newline310,000?9.31×105310,000 \, ? \, 9.31 \times 10^5\newlineChoices:\newline(A) >>\newline(B) <<\newline(C) ==
  1. Convert to Scientific Notation: Convert 310,000310,000 into scientific notation.\newline310,000=3.1×105310,000 = 3.1 \times 10^5.
  2. Compare Coefficients: Compare 3.1×1053.1 \times 10^5 with 9.31×1059.31 \times 10^5. Since both numbers are in the form of a×105a \times 10^5, compare the coefficients 3.13.1 and 9.319.31. 3.1 < 9.31.
  3. Determine Relationship: Since 3.13.1 is less than 9.319.31, and both numbers have the same exponent, 3.1×1053.1 \times 10^5 is less than 9.31×1059.31 \times 10^5.

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