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答案：
E
Arithmetic Prop
erties of Numbers
Let N = (0.0025)(0.025)(0.00025) × 10k. Rewriting each of the decimals as an integer times a power of 10 gives N = (25 × 10−4)(25 × 10−3)(25 × 10−5) × 10k = (25)3 × 10k − 12.
Since the units digit of (25)3 is 5, it follows that if k = 11, then the tenths digit of N would be 5, and thus N would not be an integer; and if k = 12, then N would be (25)3 × 100 = (25)3, which is an integer. Therefore, the least value of k such that N is an integer is 12. 
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