This is the basic and exam oriented question from real numbers in which we have given a number 24/125 and we have to show that rational number is a terminating decimal and also we need to express in decimal form
Kindly give me a detailed solution of this question
RS Aggarwal, Class 10, chapter 1C, question no 1(ii)
Here, Denominator =125=5³.
5 is not a factor of 24, so given fraction is in its simplest form.
It can be written as:
24/125=24/(2^0×5^3), which is similar to the form of (2^m×5^n)
Hence, the given rational number is terminating .
and its decimal expansion is 24/125=0.192