Math, asked by dilipthakur, 9 months ago

13
8. Find two irrational numbers between 0.1 and 0.12. explain it​

Answers

Answered by Mihir1001
26

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<font color="blue" size="5px"><b>Answer:</b></font>

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<font color="red" size="5px"><b>Step-by-step-explaination:</b></font>

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let,

a = 0.1

b = 0.12

Therefore,

<b>1<sup>st</sup></b> rational number

 = \frac{a + b}{2}  =  \frac{0.1 + 0.12}{2}  =  \frac{0.22}{2}  = 0.11

<b>2<sup>nd</sup></b> rational number

 = \frac{0.11 + b}{2}  =  \frac{0.11 + 0.12}{2}  =  \frac{0.23}{2}  = 0.115

Hence,

two irrational numbers between a and b can be as follows :

  1. 0.110100100010000.....
  2. 0.115111511115111115.....

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