Question

How do you order the following from least to greatest `-sqrt49, -sqrt7, 0, -sqrt51, -6.8`?

Answer 1

`"-"sqrt51, "-"sqrt49, "-"6.8, "-"sqrt7, 0`

Explanation:

If `x>y` then `sqrtx>sqrty`. If `x>y` then `"-"x<"-"y`.

We know that `0` is the greatest because everything else is negative, thus less than zero. We also know that `"-"sqrt51<"-"sqrt49<"-"sqrt7` because of the rules above.

Finally, since `"-"sqrt9<"-"sqrt7<"-"sqrt4` because of the rules above, `"-"sqrt7` is between `"-"3` and `"-"2`, so `"-"sqrt7<"-"6.8<"-"sqrt49` because `"-"sqrt49="-"7`.

Thus, `"-"sqrt51<"-"sqrt49<"-"6.8<"-"sqrt7<0`