1989 AMC 8 Problem 3

Below is the professionally curated solution for Problem 3 of the 1989 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1989 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

Concepts:decimalplace value

Difficulty rating: 450

3.

Which of the following numbers is the largest?

.99.99

.9099.9099

.9.9

.909.909

.9009.9009

Solution:

Write each number with four decimal places: .9900,.9900, .9099,.9099, .9000,.9000, .9090,.9090, .9009..9009.

Comparing from the left, .9900.9900 has the largest hundredths digit, so .99.99 is the largest.

Thus, the correct answer is A .

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