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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9

Express the following decimal expression into rational number 2.327¯ - Mathematics

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Question

Express the following decimal expression into rational number

`2. bar(327)`

Sum

Solution

Let x = 2.327327327……  ...(1)

(Here period of decimal is 3, multiply equation (1) by 1000)

1000x = 2327.327……  ...(2)

(2) – (1)

1000x – x = 2327.327327… – 2.327327….

999x = 2325

x = `2325/999`

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Period of Decimal
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Chapter 2: Real Numbers - Exercise 2.2 [Page 52]

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Samacheer Kalvi Mathematics [English] Class 9 TN Board
Chapter 2 Real Numbers
Exercise 2.2 | Q 4. (ii) | Page 52
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