Rational numbers are roots, decimals, fractions, and whole numbers. Bascially anything that can become a decimal. Irrational numbers are like pi. I'm pretty sure to be irrational, they have to repeat.
Anyway, ordering them and comparing them means looking at them and seeing which is smallest and largest. Then you order them (smallest to largest or whatever it says).
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In the real world you can use the order of rational numbers. This is used a lot in math.
This means:Draw a number line with some numbers labelled on it.Place dots on the number line where the rational numbers to be compared lie.State how the numbers compare in size with one another.There are various ways of doing this; here are two:1/2 is less than 5/41/2 < 5/4
You do not, but it is easier.
Convert them all to their decimal equivalents (by dividing each numerator by its denominator), then you can easily see which numbers are greater than others.
Lining the numbers up makes it easier to spot 0s between the decimal point and the leading non-zero digit.