Question

Find three rational and three irrational numbers between 0.1 and 0.11

Answer 1

0.1=100/1000
0.11=110/1000


rat. no =101/100 , 105/100 , 109/100


irrational no.=0.10100100010000....
=0.105010500105000.....
=0.109010900109000.....

Answer 2

The three rational number between 0.1 and 0.11 are $\frac{41}{400},\frac{42}{400},\frac{43}{400}$  

The three irrational number between 0.1 and 0.11 are 0.10367747...., 0.103764548..., 0.10454748.

Step-by-step explanation:    

Given : Numbers 0.1 and  0.11.  

To find : The six rational number between numbers ?

Solution :  

The rational number between $0.1=\frac{1}{10}$ and  $0.11=\frac{11}{100}$

Make the denominator same,  

$0.1=\frac{1}{10}=\frac{10}{100}$

Multiply numerator and denominator by 4,

$0.1=\frac{40}{400}$  

$0.11=\frac{44}{400}$  

The three rational number between $\frac{40}{400}$ and $\frac{44}{400}$ are $\frac{41}{400},\frac{42}{400},\frac{43}{400}$  

The three irrational number between 0.1 and 0.11 are 0.10367747...., 0.103764548..., 0.10454748.

#Learn more  

6 rational number between -3/5 and -2/5

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