2. 外语
  3. BIn this question, you are asked to compare the quantity 9502,000 with the quantity 106,000 Note that both quantities are writte

BIn this question, you are asked to compare the quantity 9502,000 with the quantity 106,000 Note that both quantities are writte

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答案B
解析 In this question, you are asked to compare the quantity 9502,000 with the quantity 106,000 Note that both quantities are written in the form "base to a power." If the bases were equal, you would be able to compare the quantities by comparing the powers. Because powers of 10 are easier to work with than powers of 950, it is reasonable to try to compare the quantities by rewriting the quantity 9502,000 as a power of 10. Unfortunately, there is no obvious way to do that. However, if you can approximate 950 by a power of 10, you may then be able to use the approximation to compare the quantity 9502,000 with the quantity 106,000.
    Note that 950 is close to, but a little less than, 1,000, or 103. Raising both sides of the inequality 950 < 103 to the power 2,000 gives the inequality 9502,000<(103)2,000. Since(103)2,000 = 106,000, you can conclude that 9502,000< 106,000. Thus, Quantity A is less than Quantity B, and the correct answer is Choice B.
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