Question

Ch 1the decimal expansion of the rational no 133/2squremultiplied5to the power four will terminate after

Answer 1

Answer:

4 places

Step-by-step explanation:

let's say p/(2^n × 5^m) be a rational no.

we know that when denominator's prime factorisation is in the form of 2^n × 5^m then the no. is a terminating decimal......

also the terminating place of a rational no. depends upon the highest power of either 2 or 5 in denominator......

Here power of 2 is 2 which is less than the power of 5 which is 4 .... Hence after 4 places it will terminate