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# Help!

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For how many integer values of  between 1 and 1000 inclusive does the decimal representation of  terminate?

Oct 6, 2018

#1
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You must not be asking this correctly.

The decimal representation for any integer terminates.  They have no non-zero digits to the right of the decimal point at all.

Oct 6, 2018
#2
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well there is just one integer between 1 and 3  that is the number 2

there are 5 integers between 1 and 7 they are  2,3,4,5,6

So there must be  1000-1-1 = 998 integers BETWEEN 1 and 1000.

Melody  Oct 6, 2018
#3
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This is clearly not what the guest asked, his question is missing something. Why did you mark this with a checkmark?

Guest Oct 6, 2018
#6
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I think this is the best interpretation for this question.

But yes it is, at best, a poorly written question and it has been answered.

It looks like it has been through an interpreter and the interpreter has not worked adequately.

Melody  Oct 6, 2018
#7
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I think it was probably meant to be asked has how many integers

$$1 \leq n \leq 1000$$ does the decimal representation of $$\dfrac 1 n$$ terminate.

Rom  Oct 7, 2018
#8
+102466
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Yes that is quite possible  :)

Melody  Oct 7, 2018