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1996 AMC 8 Question 11

AMC8 · 1996 AMC 8

Question 11

Let $x$ be the number

$$
0.\underbrace{0000\ldots00001}_{1996 \text{ zeros}},
$$

where there are $1996$ zeros after the decimal point. Which of the following expressions represents the largest number?
  1. $3 + x$
  2. $3 - x$
  3. $3 \cdot x$
  4. $\frac{3}{x}$
  5. $\frac{x}{3}$