Evaluate the expression (.35 × .0015) / (.25 × .07) and express the result as a percentage.

Difficulty: Easy

Correct Answer: 3 %

Explanation:


Introduction / Context:
This problem focuses on decimal multiplication and division followed by converting the result to a percentage. Precision with place values is crucial to avoid order-of-magnitude mistakes.


Given Data / Assumptions:

  • Expression: (.35 × .0015) / (.25 × .07).
  • Final output required as a percentage.


Concept / Approach:
Compute numerator and denominator separately, then divide. To convert a decimal to a percentage, multiply by 100 and append the % symbol.


Step-by-Step Solution:
Numerator: .35 × .0015 = 0.000525.Denominator: .25 × .07 = 0.0175.Quotient: 0.000525 / 0.0175 = 0.03.Percentage: 0.03 × 100 = 3 %.


Verification / Alternative check:
Scale by powers of 10 to remove decimals: (35 × 15) / (25 × 7) × (10^-2 × 10^-4) / (10^-2 × 10^-2) = (525 / 175) × 10^-2 = 3 × 10^-2 = 0.03, which confirms 3 % after conversion.


Why Other Options Are Wrong:
0.3 % and 30 %: Off by factors of 10 arising from incorrect decimal place handling.None of these and 0.03 %: Do not match the correct 3 % computation.


Common Pitfalls:
Misplacing decimal points; forgetting to multiply by 100 to convert a decimal to a percentage; rounding prematurely.


Final Answer:
3 %

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