Question

Question #f8d03

Answer 1

The easiest way to solve this is reverting to the decimal expression of the numbers given

Explanation:

These are all rational numbers, and they have a decimal expression that is either finite or infinite periodic. Let's see:

`-0.6`; this is the decimal expression, nothing to do

`-5/8=-0.625`; simply calculating 5 divided by 8

`-7/12=-0.583333...`; periodic, again by division

`-.72=-0.72`; this is the decimal expression, nothing to do

Now let's see what happens with the order of these numbers. If we consider positive numbers, say `1` and `2.3`, we know that `1 < 2.3`, but if we add first `-1` to both sides of the inequality we get

`0 < 2.3-1`, and now if we add -2.3 to both sides we get:

`-2.3 < -1`. So, if two numbers `a` and `b` are such that `a < b`, their opposites are in the reverse order `-b < -a`.

Now we can order the numbers above:
`-0.72 < -0.625 < -0.6 < -0.58333 ...`