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Which sign makes the statement true?\newline7.87×104?7.87×1057.87 \times 10^{4} \,?\, 7.87 \times 10^{5}\newlineChoices:\newline(A) >\newline(B) <\newline(C) ==

Full solution

Q. Which sign makes the statement true?\newline7.87×104?7.87×1057.87 \times 10^{4} \,?\, 7.87 \times 10^{5}\newlineChoices:\newline(A) >>\newline(B) <<\newline(C) ==
  1. Identify base numbers and exponents: Identify the base numbers and exponents.\newlineWe have 7.87×1047.87 \times 10^4 and 7.87×1057.87 \times 10^5.\newlineBoth base numbers are the same (7.877.87), but the exponents are different (44 and 55).
  2. Compare the exponents: Compare the exponents.\newlineSince 4 < 5, 10410^4 is less than 10510^5.\newlineThis means 7.87×1047.87 \times 10^4 is less than 7.87×1057.87 \times 10^5.

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