In the decimal representation of x, where 0＜x ＜1, is the tenths digit of x nonzero?(1) 16x is an integer.(2) 8x is an integer.

In the decimal representation of x, where 0＜x ＜1, is the tenths digit of x nonzero?

(1) 16x is an integer.

(2) 8x is an integer.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.

答案：B

专业教师答疑

问题：请问徐小梅老师，本题还是没有很理解您在上面的解答和题目的意思：“因为a,b本身已经是互质的，所以16*a/b想要是整数，说明只能是16约分掉b，也就是说b里面只能有2这个质因数，而且2的个数是从2一次方到2的4次方之间，所以a/b就相当于【a*1/16；a*1/2】；”为什么ab肯定是互质的呢？16=2的四次方这点可以理解，所以a/b就相当于【a*1/16；a*1/2】这句话和后面那部分对应的解释还是看得有点迷迷糊糊的查看答疑

问题：请问may老师，我觉得选项2里的x可以是1/8,1/4,1/2，那为什么十分位可以确定查看答疑

扫我提问哦！