Question

If p/q is a terminating decimal, what can you say about q?

(a) q must be in the form 2n
(b) q must be in the form of 5m
(c) q must be in the form 2n.5m
(d) none of these

Answer 1

Answer:

(c)2n.5m....................

See for a fraction to be a non terminating decimal with complete certainity it needs to have a denominator which has either 2 or 5(and its multiples since it will end being the same that's why 2n and 5m) . Because in case of any other number chances are that they might result into a non terminating decimal. See 2 and 5 are the only numbers which can divide all numbers with decimals numbers terminating.

*Note- we consider only numbers from 1 to 9 here.