1988 AMC 8 第 8 题

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所有题目均经美国数学协会(MAA)官方合法授权使用。

8.

Betty 用计算器计算乘积 0.075×2.560.075 \times 2.56。她忘了输入小数点,计算器显示 1920019200。如果 Betty 正确输入小数点,答案应为

Betty used a calculator to find the product 0.075×2.56.0.075 \times 2.56. She forgot to enter the decimal points. The calculator showed 19200.19200. If Betty had entered the decimal points correctly, the answer would have been

.0192.0192

.192.192

1.921.92

19.219.2

192192

答案:B
知识点:小数位值
难度评级:800
解答:

因数 0.0750.0752.562.56 分别有 33 位和 22 位小数,共 55 位。

1920019200 右边数 55 位放小数点,得到 0.19200=.1920.19200 = .192

所以正确答案是 B

The factors 0.0750.075 and 2.562.56 have 33 and 22 decimal places, for a total of 5.5.

Placing the decimal point 55 digits from the right of 1920019200 gives 0.19200=.192.0.19200 = .192.

Thus, the correct answer is B .

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