Decide whether the following statement is always, sometime, or never true. explain your reasoning.

" any decimal that ends with a digit in the thousandths place can be written as a fraction with a denominator that is divisible by both 2 and 5. "

Yes this is always true because the denominator starts off being 1000 which is equal to 2^3*5^3. The bases of 2 and 5 can be factored out to show 1000 is divisible by both 2 and 5. 

For example, the number 0.738 can be written as 738/1000
This is why the naming convention "738 thousandths" is used, and it's not coincidental.