Question

write one rational number between -3 and -2

Answer 1

Heya !!

$\text{Here, Given 2 rational No's. are -2 and -3}\\\\\text{To find a rational no. between two rational no's., use this formula \dfrac{a+b}{2} .}\\\\\therefore \: \text{A rational no. between -2 and -3 is \dfrac{-2-3}{2} }\\\\= - \dfrac{5}{2}$

Hope it helps !!

Answer 2

When you want to insert rational numbers between given pair of rational numbers then you may apply the below mentioned formula:

$\bold{\frac{a+b}{c+d} }$  , where ' a ' and ' b ' are the numerators of the given two rational numbers and ' c ' and ' d ' are the denominators of the given two rational numbers.

But, in this case rather than apply the above mentioned formula we can simply write the numbers present between - 3 and - 2.

$\large\underline\bold{Solution:\longrightarrow}$

- 3 < - 2

Now simply find the numbers between the given pair.

The numbers in between - 3 and - 2 are - 2.1 , - 2.2 , - 2.3 , 2.4 , - 2.8 , etc.

Hence,

- 3 < - 2.9 < - 2.8 < - 2.2 < - 2

Note: There can be infinite number of rational numbers between given rational numbers.