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Without Doing Any Actual Division, Find Which of the Following Rational Numbers Have Terminating Decimal Representation : 32/45 - Mathematics

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Question

Without doing any actual division, find which of the following rational numbers have terminating decimal representation : `32/45`

Sum

Solution

Given number is `32/45`

Since, 45 = 3 x 3 x 5 = 32 x 51
I.e. 45 cannot be expressed as 2m x 5n

∴ `32/45` is not 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 5.4 | Page 4
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