We have given a number 17/320 and we have been asked to prove that the given rational number is a terminating decimal and also asked to express in decimal form without actual division.
RS Aggarwal, Class 10, chapter 1C, question no 1(v)
Rajan@2021Guru
Without actual division show that the following rational number is a terminating decimal. Express in decimal form 17/320.
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Here, denominator is 320=2^6×5.
The given rational number can be written as:
17/320=17/(2^6×5), which is similar to the form of (2^m×5^n) in denominator.
Hence, the given rational is terminating,
and its decimal expansion is 17/320=0.053125.