without dividing how to find a rational number whether it is terminating or non-terminating
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If x is a rational number whose simplest form is pq, where p and q are integers and q≠0. Then, (i) x is terminating only when q is of the form (2m×5n) for some non-negative integers m and n. (ii) x is non-terminating and repeating, if q≠(2m×5n).
Step-by-step explanation:
To find out whether a fraction will have a terminating or recurring decimal, look at the prime factors of the denominator when the fraction is in its most simple form. If they are made up of 2s and/or 5s, the decimal will terminate.
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