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Without Doing Any Actual Division, Find Which of the Following Rational Numbers Have Terminating Decimal Representation : 23/125 - Mathematics

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Question

Without doing any actual division, find which of the following rational numbers have terminating decimal representation : `23/125`

Sum

Solution

Given number is `23/125`

Since 125 = 5 x 5 x 5 = 53 = 20 x 53
I.e. 125 can be expressed as 2m x 5n

∴ `23/125` is convertible into the terminating decimal.

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Chapter 1: Rational and Irrational Numbers - Exercise 1 (A) [Page 4]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 1 Rational and Irrational Numbers
Exercise 1 (A) | Q 5.2 | Page 4
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