AMC 8 1989 Problem 18

AMC8 1989 年第 18

数列与规律★★★☆☆
Many calculators have a reciprocal key 1/x\boxed1/x that replaces the current number displayed with its reciprocal. For example, if the display is 00004\boxed00004 and the 1/x\boxed1/x key is depressed, then the display becomes 000.25\boxed000.25. If 00032\boxed00032 is currently displayed, what is the fewest number of times you must depress the 1/x\boxed1/x key so the display again reads 00032\boxed00032?
许多计算器有一个倒数键 1/x\boxed1/x,将当前显示的数替换为其倒数。例如,如果显示为 00004\boxed00004 并按下 1/x\boxed1/x 键,则显示变为 000.25\boxed000.25。如果当前显示 00032\boxed00032,最少需要按多少次 1/x\boxed1/x 键才能使显示再次变为 00032\boxed00032
  1. A.1
  2. B.2
  3. C.3
  4. D.4
  5. E.5

正确答案 · Correct Answer

B

解析 · Solution

解析整理中

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