Question

What does it mean to order a set of real numbers?

Answer 1

Hint: Here in this question we have been asked to describe the meaning of ordering a set of real numbers for answering this question. We will consider an example and elaborate the process step by step.

Complete step-by-step answer:
Now considering the question we have been asked to describe the meaning of ordering a set of real numbers.
From the basic concepts we know that the meaning of ordering a set of real numbers means arranging the given set of real numbers in an order. There are two types of orders which are generally used, one is Ascending order and the other is descending order.
In the Ascending order, if we consider the set of real numbers to be $p,q,r$ where all the three numbers are real numbers and the relation between them is given as $p < r < q$ . Hence we can say that the ascending order of the three numbers will be given as $p,r,q$ since ascending order means arranging the given numbers in an order from low to high.
Similarly descending order in the reverse of ascending order for example in the given set of three numbers the descending order will be $q,r,p$ that is from high to low.
Now let us consider an example $3,9.5,7,17,5,14$ as a set of real numbers we need to arrange them in order. By applying the above described concepts we can say that the ascending order of the given set of numbers is $3,5,7,9.5,14,17$ and similarly the descending order will be given as $17,14,9.5,7,5,3$ .
Therefore we can conclude that any set of real numbers can be ordered as described above.

Note: While answering questions of this type we should be sure with our concepts because this question is directly and completely concept based. Similarly any set of numbers like fractions, decimals, complex numbers or any other can be arranged in a specified order.