Question

What is the condition for the decimal expansion of a rational number to terminate ? Explain with the help of an example.

Answer 1

The decimal number of expansion of a rational number terminates if the denominator of rational number can be expressed if the denominator of rational number can be expressed as 2^m 5ⁿ where m and n are non-negative integers and p and q both co-primes.

e.g.             3 / 10 = 3 / (2¹ x 5¹) = 0.3