This is the basic and exam oriented question from real numbers in which we have given a number 171/800 and we have to show that the given rational number is a terminating decimal and also asked to express in decimal form
Kindly give me a detailed solution of this question
RS Aggarwal, Class 10, chapter 1C, question no 1(iii)
Here, denominator is 800=2^5×5^2.
Either 2 or 5 is not a factor of 171, so fraction is in its simplest form.
Then, it can be written as:
24/125=171/(2^5×5^2), which is similar to the form of (2^m×5^n) in denominator.
Hence, the given rational is terminating
and its decimal expansion is 171/800=0.21375.