1988 AMC 8 Problem 7

Attempt Problem 7 of the 1988 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 1988 AMC 8 solutions, or check the answer key.

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

7.

The expression 2.46×8.163×(5.17+4.829)2.46 \times 8.163 \times (5.17 + 4.829) is closest to
100100
200200
300300
400400
500500
Answer: B
Concepts:estimation
Small hint:
Round each factor to a convenient number: 2.46≈2.5,2.46 \approx 2.5, 8.163≈88.163 \approx 8
Big hint:
The sum 5.17+4.829≈10,5.17 + 4.829 \approx 10, so the product is about 2.5×8×102.5 \times 8 \times 10
Solution:
Round each factor: 2.46≈2.5,2.46 \approx 2.5, 8.163≈8,8.163 \approx 8, and 5.17+4.829≈10.5.17 + 4.829 \approx 10.
The product is about 2.5×8×10=200.2.5 \times 8 \times 10 = 200.
Thus, the correct answer is B .
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