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help me!!! please!!!

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楼主
发表于 2008-11-7 21:26:00 | 只看该作者

help me!!! please!!!

DS:In the decimal representation of x, where 0<x<1,is the tenth digit of x nonzero?
(1)16x is an integer
(2)8x is an integer
想破头也想不出来。。。。
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沙发
发表于 2008-11-7 21:32:00 | 只看该作者

B

If 8x is an integer, then x=0.125*n (n is also integer).

板凳
发表于 2008-11-7 21:44:00 | 只看该作者
In the decimal representation of x, where 0<x<1,is the tenth digit of x nonzero?
(1)16x is an integer
(2)8x is an integer

Range of x is as follows:
..............-1...............0...........(x)..........1................
As 16x and 8x are integers,
Stem1=> 16x=1=>x=1/16=0.0625, say 4/16=0.25 Answer is YES and NO. NOT SUFF.
Stem2=>8x=1=>x=1/8=0.125, say 4/8=0.50 SUFF.
Answer: B

地板
 楼主| 发表于 2008-11-8 13:02:00 | 只看该作者
oh!really really thx a lot!!!
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