Question

How would you arrange these numbers from greatest to least: `22/50, 25%, 2xx10^-1, .251`?

Answer 1

Greatest is `22/50`, then `0.251`, then `25%` and finally the least is `2xx10^(-1)`

Explanation:

The easiest way to compare such numbers (involving fractions) is to convert them to decimal numbers so that all numbers are up to same number of digits after decimal point.

`22/50=(22xx2)/(50xx2)=44/100=color(white)(XX)0.440`

`25%=25xx1/100=color(white)(XXXX)0.250`

`2xx10^(-1)=2xx1/10=0.2=0.200`

`0.251=color(white)(XXXXXXXXXXx)0.251`

Hence greatest is `22/50`, then `0.251`, then `25%` and finally `2xx10^(-1)`