Question

How do you order the rational numbers from least to greatest: 3.8, 3.06, 3 1/6, 3 3/4?

Answer 1

Since they all are of the kind "3 plus something" we only look at the "plus something".

Explanation:

And then we try to find a way to compare them.
`0.8=8/10=80/100`
`0.06=6/100`
`3/4=75/100`
The only problem is `1/6` because we can't express that as `100`th's, but we know that it's `=16/96` which is a bit larger, but close to `16/100`

The differences are great enough, so the order is:
`3.06-3 1/6-3 3/4- 3.8`