1998 AMC 8 第 5 题

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5.

下列哪个数最大?

Which of the following numbers is largest?

9.123449.12344

9.12349.123\overline{4}

9.12349.12\overline{34}

9.12349.1\overline{234}

9.12349.\overline{1234}

答案:B
知识点:循环小数位值
难度评级:730
解答:

每个数都以 9.12349.1234 开头。下一位数字中,A 和 B 是 44,C 是 33,D 是 22,E 是 11

A 之后停止并补零,而 B 后面继续出现 44,所以 B 最大。

所以正确答案是 B

Each number starts with 9.12349.1234. The next digits are 44 for choices A and B , 33 for C , 22 for D , and 11 for E .

Choice A then terminates as zeros, while choice B continues with more 44s, so choice B is largest.

Thus, the correct answer is B .

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