Answer:
First, let's define rational and irrational numbers.
Rational numbers. Are those numbers that can be expressed as the ratio of 2 integers.
Irrational numbers. These numbers are the opposite of rational numbers, they can't be expressed at the ratio of 2 integers abd their decimal numbers are infinite.
Now, addressing the question, to order rational and irrational numbers we must take a close look th the decimal numbers given for the rational number.
For example, say that we are comparing 9.43 and
. Let's convert the numbers to their decimal form to easily compare them.
9.43 is already a decimal.
.
Based of the obtained values, the greatest number of these 2 is, clearly,
. In case we are comparing these same 2 numbers, and we are only given the decimal form of
as 9.43, we can still affirm that
is the greatest number, because it's irrational, it has more decimal numbers that are greater than those on 9.43, which only has 2.
Summary.
The way to compare and order rational and irrational numbers is to convert all the numbers to their decimal form and see who has the greater value. It's important to always keep in mind that irrational numbers have infinite decimal figures. If we have the exact same decimal figures for an irrational and a rational number, the irrational number will always be greater since it has infinite decimal places.