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Which sign makes the statement true?\newline6.47×104?6.47×1056.47 \times 10^4 \,?\, 6.47 \times 10^5\newlineChoices:\newline(A) >\newline(B) <\newline(C) ==

Full solution

Q. Which sign makes the statement true?\newline6.47×104?6.47×1056.47 \times 10^4 \,?\, 6.47 \times 10^5\newlineChoices:\newline(A) >>\newline(B) <<\newline(C) ==
  1. Identify base numbers and exponents: Step 11: Identify the base numbers and exponents in the expressions.\newlineWe have 6.47×1046.47 \times 10^4 and 6.47×1056.47 \times 10^5. The base number is the same (6.476.47), but the exponents are 44 and 55, respectively.
  2. Compare exponents to determine relationship: Step 22: Compare the exponents to determine the relationship.\newlineSince 4 < 5, we know that 10410^4 is less than 10510^5. Therefore, 6.47×1046.47 \times 10^4 is less than 6.47×1056.47 \times 10^5.

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