\(\frac{23}{11}\) কে এর পৌনঃপুনিক দশমিক আকারে রূপান্তর করুন।

This question was previously asked in
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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অনুসৃত ধারণা:

পৌনঃপুনিক দশমিক হল বিন্দু (0.) এর পরের অঙ্ক যা অনন্ত পর্যন্ত পর্যায়ক্রমে পুনরাবৃত্ত হয়

গণনা:

প্রশ্ন অনুযায়ী

\(\frac{23}{11}\) কে নিম্নভাবে লেখা যেতে পারে:

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

= 2 + \(\frac{1}{11}\)

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

= 2.09090909.......

\(2.\overline{09}\)  (যখন সংখ্যাগুলি পুনরাবৃত্ত হওয়া শুরু হয় তখন আমরা দাগটি সেই সংখ্যার উপরে রাখি যেটি পর্যায়ক্রমে পুনরাবৃত্ত হয়)

সুতরাং, নির্ণেয় মান হল  \(2.\overline{09}\).

সুতরাং, সঠিক উত্তর হল বিকল্প 1)

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