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Without doing any actual division, find which of the following rational numbers have terminating decimal representation: 716 - Mathematics

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Question

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

`7/16`

Sum

Solution

Given number is `7/16`

Since 16 = 2 × 2 × 2 × 2 = 24 = 24 × 50

I.e., 16 can be expressed as 2m × 5n

∴ `7/16` 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 5.1 | Page 4
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