2017 AMC 8 第 4 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。

4.

0.0003150.000315 乘以 7,928,5647,928,564 的乘积最接近下列哪一个数?

When 0.0003150.000315 is multiplied by 7,928,5647,928,564 the product is closest to which of the following?

210210

240240

2,1002,100

2,4002,400

24,00024,000

答案:D
知识点:估算
难度评级:720
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文字解答:

可以近似为 (3104)(8106)=24102=2400. \begin{align*} (3 \cdot 10^{-4})(8 \cdot 10^6) &= 24 \cdot 10^2 \\ &= 2400. \end{align*}

所以正确答案是 D

We can approximate the product as (3104)(8106)=24102=2400. \begin{align*} (3 \cdot 10^{-4})(8 \cdot 10^6) &= 24 \cdot 10^2 \\ &= 2400. \end{align*}

Thus, D is the correct answer.

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