1996 AMC 8 Problem 11
Attempt Problem 11 of the 1996 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1996 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
11.
Let be the number
where there are zeros after the decimal point. Which of the following expressions represents the largest number?
Answer: D
Small hint:
is a tiny positive number, just above
Big hint:
Dividing by a tiny number gives a huge result, while the other choices stay near or near
Solution:
Since is a very small positive number, and are near while and are near
But is followed by zeros, far larger than any other choice.
Thus, the correct answer is D .
Problem 11 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
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