Question

How do you order these from smallest to largest: `sqrt(9/25), 2/3, 62% and .66`?

Answer 1

Convert all values into a form that you can manage with. Order accordingly.

Explanation:

The easiest way to do this is to evaluate them into a form that is easy to manage. In my opinion, I believe decimals are easy to work with, so we're going to convert all these values into decimals.

The first one: `sqrt(9/25)`.

To do this, we just simplify the fraction. `9` and `25` are both squared numbers, so if we find the square root of these values and divide, then we have our decimal!

`(sqrt9/25)`

`=3/5`

I'm actually going to convert this into tenths but it's not necessary.

`=6/10`

`=0.6`

The second one: `2/3`.

We know that `2/3` are simply `0.667`. We can check our work by inserting it into a calculator.

The third one: `65%`.

Percents are just essentially a decimal itself, where `100%` is `1` `"whole"`. Thus, `65%` is equal to `0.65`.

The last one: `0.66`.

It's already a decimal so no need to do anything.

With all decimal values: `0.6,0.667, 0.65,`and `0.66`.

We can easily order them from smallest to largest.

Thus, we get: `0.6, 0.65, 0.66` and finally `0.667`.

Hope this helps :)