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Qu. How is 0.9999... is equal …

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Qu. How is 0.9999... is equal to 1 ( I am confused because this quote is written in this guide )

Posted by Yuvraj Singh 7 years, 8 months ago

CBSE > Class 09 > Mathematics

1 answers

Varun Gupta 7 years, 8 months ago

0.9999---- 0.9 bar Let x=0.9999- - - - (1) Multiply both side with 10 10×x = 0.9999×10 10x = 9.9999- - - - - (2) Now-. Subtract (2)-(1) 10x = 9.9999 ×. = 0.9999 _______________ 9x = 9 ________________ 9x = 9 × = 9/9 =1

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