Question
Download Solution PDF\(\frac{23}{11}\)त्याच्या आवर्ती दशांश स्वरूपात रूपांतरित करा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFवापरलेली 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.
Last updated on Jul 18, 2025
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