We have given a number 15/1600 and we have to show that the following 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(iv)
Here, denominator is 1600= 2^6×5^2.
Then the rational can be written as:
15/1600=15/(2^6×5^2), which is similar to the form of (2^m×5^n) in denominator.
Hence, the given rational is terminating,
and its decimal expansion is 15/1600=0.009375.