1990 AMC 8 第 6 题

先试着解答 1990 AMC 8 第 6 题,然后核对你的答案与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 1990 AMC 8 解答,或核对答案。

所有题目均经美国数学协会(MAA)官方合法授权使用。

6.

这五个数中哪一个最大?
Which of these five numbers is the largest?
13579+1246813579 + \dfrac{1}{2468}
13579−1246813579 - \dfrac{1}{2468}
13579×1246813579 \times \dfrac{1}{2468}
13579÷1246813579 \div \dfrac{1}{2468}
13579.246813579.2468
答案:D
知识点:分数
小提示:
除以 12468\dfrac{1}{2468} 等于乘以 24682468。
Dividing by 12468\dfrac{1}{2468} is the same as multiplying by 24682468
大提示:
其他选项都仍在 1357913579 附近,但有一个会变成原来的几千倍
All the other choices stay near 1357913579, but one of them becomes thousands of times larger
解答:
选项 A、B 和 E 都非常接近 1357913579。选项 C 把 1357913579 乘以一个很小的数,会变得更小。
选项 D 是除以 12468\dfrac{1}{2468},也就是乘以 24682468。它比 1357913579 大几千倍,所以最大。
所以正确答案是 D。
Choices A, B, and E are all very close to 1357913579, and choice C multiplies 1357913579 by a tiny number, making it much smaller.
Choice D divides by 12468\dfrac{1}{2468}, which is the same as multiplying by 24682468. This makes it thousands of times larger than 1357913579, so it is the largest.
Thus, the correct answer is D .
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