Find the distance between and 11/5 and \sqrt{ (25)/(4) } on a number line ​

Question

Find the distance between

and 11/5 and

`\sqrt{ (25)/(4) }`

on a number line
​

Answer 1

The distance is
`(3)/(10) = 0.3`

Explanation:

First notice that
`\sqrt {(25)/(4) }=(5)/(2)`

Then we need the distance between those two fractions, which can be found via the absolute value of the difference between these two numbers;

`distance=|(11)/(5) -(5)/(2) |\\distance=|(22)/(10) -(25)/(10) |\\distance= \-(3)/(10) |\\distance= 0.3`