Question

without actually performing the long division state whether the following rational number will have a terminating decimal expansion or a non terminating repeating decimal expansion:(i) 13/3125 (ii)129/225775 (iii) 77/210 (iv)14587/1250 (v) 833/225572

Answer 1

It's simple...... Just take a look at the denominator.... And Check if it is a multiple of 5 or 2 or both 5 as well as 2....a multiple of 5 or 2 or both 2 and 5 always gives a terminating decimal value!!!!