1997 AMC 8 Problem 3

Attempt Problem 3 of the 1997 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 1997 AMC 8 solutions, or check the answer key.

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

3.

Which of the following numbers is the largest?
0.970.97
0.9790.979
0.97090.9709
0.9070.907
0.90890.9089
Answer: B
Concepts:decimalplace value
Small hint:
Compare tenths first, then hundredths, then thousandths
Big hint:
Line the decimals up by place value
Solution:
We have that all the tenths place digits are the same, so we then look at the hundredths digit.
The largest hundredths digit is 7,7, so we can limit the answer choices to the ones with this value.
The largest thousandths digit is 9,9, which is achieved by 0.979.0.979.
Thus, B is the correct answer.
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