Question

How do you order the following from least to greatest without a calculator `-5, -sqrt24, -26/5, -5.5, -2pi, -4 3/4`?

Answer 1

`-2pi<-5.5<-26/5<-5<-sqrt24<-4 3/4`

Explanation:

It is apparent that `-5.5<-5<-4 3/4`

Now as `25>24`, we have `-sqrt24> -5`; further as `2pi>6`, `-2pi` is smallest and as `26/5=5.2`,

the correct order from least to greatest is

`-2pi<-5.5<-26/5<-5<-sqrt24<-4 3/4`