MathDB

18

Part of 1989 AMC 8

Problems(1)

1989 AJHSME Problem 18

Source:

6/25/2011
Many calculators have a reciprocal key 1x\boxed{\frac{1}{x}} that replaces the current number displayed with its reciprocal. For example, if the display is 00004\boxed{00004} and the 1x\boxed{\frac{1}{x}} key is depressed, then the display becomes 000.25\boxed{000.25}. If 00032\boxed{00032} is currently displayed, what is the fewest number of times you must depress the 1x\boxed{\frac{1}{x}} key so the display again reads 00032\boxed{00032}?
(A) 1(B) 2(C) 3(D) 4(E) 5\text{(A)}\ 1 \qquad \text{(B)}\ 2 \qquad \text{(C)}\ 3 \qquad \text{(D)}\ 4 \qquad \text{(E)}\ 5