Question

Method to Insert 16 Rational Numbers Between 2.1 and 2.2
How to insert 16 rational numbers between 2.1 and 2.2?

Answer 1

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Answer 2

Answer:

The rational numbers are

$\frac{421}{200}, \frac{422}{200}, \frac{423}{200}, \frac{424}{200}, \frac{425}{200}, \frac{426}{200}, \frac{427}{200}, \frac{428}{200}, \frac{429}{200}, \frac{430}{200}, \frac{431}{200}, \frac{432}{200}, \frac{433}{200}, \frac{434}{200}, \frac{435}{200}, \frac{436}{200}, \frac{437}{200}, \frac{438}{200}, \frac{439}{200}$

Step-by-step explanation:

Given two numbers 2.1 and 2.2

we have to insert 16 Rational numbers between 2.1 and 2.2

The two numbers 2.1 and 2.2 can be written as

$\frac{21}{10}\times \frac{20}{20}=\frac{420}{200}$

$\frac{22}{10}\times \frac{20}{20}=\frac{440}{200}$

$\text{The 16 rational numbers between }\frac{420}{200}\text{ and }\frac{440}{200}\text{ are:}$

$\frac{421}{200}, \frac{422}{200}, \frac{423}{200}, \frac{424}{200}, \frac{425}{200}, \frac{426}{200}, \frac{427}{200}, \frac{428}{200}, \frac{429}{200}, \frac{430}{200}, \frac{431}{200}, \frac{432}{200}, \frac{433}{200}, \frac{434}{200}, \frac{435}{200}, \frac{436}{200}, \frac{437}{200}, \frac{438}{200}, \frac{439}{200}$

which are required rational numbers.