AMC 8 1988 Problem 6

AMC8 1988 年第 6 题

表达式与运算★★☆☆☆

题干整理中

  1. A.0.2
  2. B.2
  3. C.10
  4. D.15
  5. E.20

正确答案 · Correct Answer

E

解析 · Solution

Solution 1

Converting the decimals to fractions yields (.2)3(.02)2=(15)3÷(150)2=1125÷12500=1125⋅25001=2500125=20\displaystyle \frac{(.2)^3}{(.02)^2} = \left( \frac{1}{5} \right)^3 \div \left( \frac{1}{50} \right)^2 = \frac{1}{125} \div \frac{1}{2500} = \frac{1}{125} \cdot \frac{2500}{1} = \frac{2500}{125} = 20.

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