Sorry, but I am still a bit confused. You arrived at the correct answer, but I am still lost.
Is 100z the same as 100*z or is z a digit.
In Statement 1, how did you know to multiply 100 * (0.002x)? I see it equaled 0.2x (where 2 is the tenths digit). But I don't see why we would have wanted to do that.
I have the same questions about statement 2. The statement says that the units digit is 2 (not the tenths digits), so why do we want the value to equal 0.2x? wouldn't it be 2x?
Sorry, as my questions are probably a bit confusing themselves. If you wouldn't mind going into a little more depth about why you did what you did, I would really appreciate it.
taking a real number rather than general number might help clarify the solution.
Let's say z = 6.723, question wants us to identify the hundredth digit or "2" in our case.
(1) 10th digit of 100z (= 672.3 ) is 7 --> doesn't give us 2 --> insufficient
(2) unit digit of 1000z (=6723) is 3 --> doesn't give us 2--> insufficient
combined (1) and (2) give 7 and 3 --> don't give us 2 --> insufficient
Hope this helps