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 to see that bethany has not changed the order of her numbers. why is this?

At the county fair, animals are judged for the quality of their breeding and health. the animal pens are arranged in an array, with one animal in each pen. a barn can hold at most 10 rows of pens and at most 6 pens in each row, with room for people to walk around them. what different ways can the planners of the county fair arrange the pens for the horses and cows in the same barn?