1990 AMC 8 Problem 6

Below is the professionally curated solution for Problem 6 of the 1990 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1990 AMC 8 solutions, or check the answer key.

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Concepts:fraction

Difficulty rating: 730

Which of these five numbers is the largest?

$13579 + \dfrac{1}{2468}$

$13579 - \dfrac{1}{2468}$

$13579 \times \dfrac{1}{2468}$

$13579 \div \dfrac{1}{2468}$

$13579.2468$

Solution:

Choices A, B, and E are all very close to $13579$ , and choice C multiplies $13579$ by a tiny number, making it much smaller.

Choice D divides by $\dfrac{1}{2468}$ , which is the same as multiplying by $2468$ . This makes it thousands of times larger than $13579$ , so it is the largest.

Thus, the correct answer is D .

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