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Which sign makes the statement true?\newline5.2×103?5.20×1035.2 \times 10^3 \,?\, 5.20 \times 10^3\newlineChoices:\newline(A) >\newline(B) <\newline(C) ==

Full solution

Q. Which sign makes the statement true?\newline5.2×103?5.20×1035.2 \times 10^3 \,?\, 5.20 \times 10^3\newlineChoices:\newline(A) >>\newline(B) <<\newline(C) ==
  1. Analyze Numbers: Step 11: Analyze the numbers given in the problem.\newlineWe have 5.2×1035.2 \times 10^3 and 5.20×1035.20 \times 10^3. Notice that 5.25.2 and 5.205.20 are the same numerically.
  2. Compare Exponents: Step 22: Compare the exponents.\newlineBoth expressions have the exponent 33, so 10310^3 is equal in both cases.
  3. Determine Equality: Step 33: Since the base numbers (5.25.2 and 5.205.20) and the exponents (33) are the same, the two expressions are equal.\newline5.2×103=5.20×1035.2 \times 10^3 = 5.20 \times 10^3

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