\(\frac{23}{11}\)त्याच्या आवर्ती दशांश स्वरूपात रूपांतरित करा.

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RRB Group D 16 Sept 2022 Shift 3 Official Paper
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  1. \(2.\overline{09}\)
  2. \(2.\overline{18}\)
  3. \(2.\overline{23}\)
  4. \(2.\overline{32}\)

Answer (Detailed Solution Below)

Option 1 : \(2.\overline{09}\)
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Detailed Solution

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वापरलेली संकल्पना:

आवर्ती दशांश हा बिंदू (0.) नंतरचा अंक आहे जो अनंतापर्यंत वेळोवेळी पुनरावृत्ती होतो.

गणना:

प्रश्नानुसार

\(\frac{23}{11}\)असे लिहिले जाऊ शकते:

=\(\frac{(22 + 1)}{11}\)

= 2 +\(\frac{1}{11}\)

= 2 + 0.09090909...........

= 2.09090909.......

=\(2.\overline{09}\) (जेव्हा अंकांची पुनरावृत्ती सुरू होते तेव्हा आम्ही त्या संख्येवर बार ठेवतो जी वेळोवेळी पुनरावृत्ती होते)

अशा प्रकारे, आवश्यक मूल्य \(2.\overline{09}\)आहे.

म्हणून, योग्य उत्तर पर्याय 1 आहे.

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