Question

find any five rational number between 0.1 and 0.11

Answer 1

Answer:  The required numbers are 0.101, 0.102, 0.103, 0.104 and 0.105.

Step-by-step explanation:  We are given to find any five rational numbers between 0.1 and 0.11.

We know that

a rational number is of the form $\dfrac{p}{q},~q\neq0,$ where p and q are integers.

We have

$0.1=\dfrac{1}{10}=\dfrac{10}{100}=\dfrac{100}{1000},\\\\\\0.11=\dfrac{11}{100}=\dfrac{110}{1000}.$

Five numbers between 100 and 110 are 101, 102, 103, 104 and 105.

So, the five numbers are

$\dfrac{101}{1000},\dfrac{102}{1000},\dfrac{103}{1000},\dfrac{104}{1000},\dfrac{105}{1000}\\\\\\\=0.101,0.102,0.103,0.104,0.105.$

Thus, the required numbers are 0.101, 0.102, 0.103, 0.104 and 0.105.

Answer 2

Answer:

0.101,0.102,0.103 (terminating decimals) are three rational numbers which lie between 0.1 and 0.11.