# Ex 8.1,10 - Chapter 8 Class 11 Binomial Theorem

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Ex 8.1,10 Using Binomial Theorem, indicate which number is larger (1.1)10000 or 1000. (1.1)10000 = (1 + 0.1)10000 We know that (a + b)n = nC0 an b0 + nC1 an 1 b1 + nC2 an 2 b2 + . . + nCn 1 a1 bn 1 + nCn a0 bn Hence (a + b)10000 = 10000C0 (a)10000 b0 + 10000C1 a9999 b1 + .. = 10000 0! 10000 0 ! a 10000 1 + 10000 ! 1!(10000 1)! a9999 (b)1 + = 10000! 1 10000! a10000 1 + 10000 9999! 1! 9999! a9999 b + = a10000 + 10000a9999 b + (a + b)10000 = a10000 + 10000a9999 b1 + Putting a = 1 & b = 0.1 (1 + 0.1)10000 = (1)10000 + 10000 (1)9999 (0.1)1 (1.1)10000 = 1 + 10000 (0.1)+ . = 1 + 1000.0 + . = 1001 + > 1000 Hence, (1.1)10000 is larger than 1000

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.