1991 AMC 8 Problem 3

Attempt Problem 3 of the 1991 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 1991 AMC 8 solutions, or check the answer key.

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

3.

Two hundred thousand times two hundred thousand equals
four hundred thousand
four million
forty thousand
four hundred million
forty billion
Answer: E
Concepts:place valueexponent
Small hint:
Write two hundred thousand as 200,000200{,}000
Big hint:
Multiply the leading digits, then count the zeros: each factor has five zeros
Solution:
200,000×200,000200{,}000 \times 200{,}000 =4×1010= 4 \times 10^{10} =40,000,000,000,= 40{,}000{,}000{,}000, which is forty billion.
Thus, the correct answer is E .
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