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Without Doing Any Actual Division, Find Which of the Following Rational Numbers Have Terminating Decimal Representation : 17/40 - Mathematics

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प्रश्न

Without doing any actual division, find which of the following rational numbers have terminating decimal representation : `17/40`

योग

उत्तर

Given number is `17/40`

Since 40 = 2 x 2 x 2 x 5 = 23 x 51
I.e. 40 can be expressed as 2m x 5n

∴ `17/40` is convertible into the terminating decimal.

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अध्याय 1: Rational and Irrational Numbers - Exercise 1 (A) [पृष्ठ ४]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 1 Rational and Irrational Numbers
Exercise 1 (A) | Q 5.6 | पृष्ठ ४
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