Question

Bethany writes a set of rational numbers in increasing order. Her teacher asks her to write the absolute values of these numbers in increasing order. When her teacher checks Bethany’s work, she is pleased to see that Bethany has not changed the order of her numbers. Why is this?

Answer 1

All of Bethany’s rational numbers are positive or 0.

Explanation:

The positive rational numbers have the same order as their absolute values. If any of Bethany’s rational numbers are negative, then the order would be different.