Question
Download Solution PDF\(\frac{23}{11}\) ని దాని పునరావృత దశాంశ రూపానికి మార్చండి.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఉపయోగించిన భావన:
పునరావృత దశాంశం అనేది పాయింట్ (0.) తర్వాత వచ్చే అంకె, ఇది అనంతం వరకు క్రమానుగతంగా పునరావృతమవుతుంది
లెక్కింపు:
ప్రశ్న ప్రకారం
\(\frac{23}{11}\) ఇలా వ్రాయవచ్చు:
= \(\frac{(22 + 1)}{11}\)
= 2 + \(\frac{1}{11}\)
= 2 + 0.09090909...........
= 2.09090909.......
= \(2.\overline{09}\) (అంకెలు పునరావృతం కావడం ప్రారంభించినప్పుడు, కాలానుగుణంగా పునరావృతమయ్యే సంఖ్యపై బార్ను ఉంచుతాము)
అందువలన, అవసరమైన విలువ \(2.\overline{09}\) .
కాబట్టి, సరైన సమాధానం ఎంపిక 1).
Last updated on Jun 2, 2025
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