Question
Download Solution PDF0.135135.... ஐ p/q வடிவில் எழுதினால் ______ ஐ பெறுவோம்.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டவை:
0.135135....
பயன்படுத்தப்படும் கருத்து:
படிவத்தின் எண்கள் (p/q), அங்கு q ≠ 0 மற்றும் p மற்றும் q முழு எண் ஆகும், இது விகிதமுறு எண் என அழைக்கப்படுகிறது.
கணக்கீடு:
x = 0.135135.... ----(1)
சமன்பாடு (1) ஐ 1000 ஆல் பெருக்கவும்,
1000x = 135.135.... ----(2)
சமன்பாடு (1) ஐ சமன்பாடு (2) இலிருந்து கழிக்கவும்,
1000x - x = (135.135...) - (0.135135....)
⇒ 999x = 135
⇒ x = 135/999
⇒ x = 45/333
⇒ x = 5/37
∴ 0.135135.... ஐ p/q வடிவத்தில் 5/37 என எழுதலாம்.
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