Which of the following numbers have terminating decimal expansion and why?
Here, the denominator is 625.
625 = 5 × 5 × 5 × 5 × 20
We can see that that 625 contains 5 as its prime factors.
Also, 156 = 2 × 2 × 3 × 13
So, g. c. d(156, 625) = 1
Therefore,
has a terminating decimal expansion.
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