Conclusion

In this chapter, you have explored how to use sets to help you conceptualize the relationships between groups of numbers. Among the key concepts in this respect are unions and intersections. You also made use of subsets and disjunctions. While sets prove endlessly engaging, other equally engaging topics also prove useful when working with relationships between numbers. In this respect, you explored exponents. Exponents allow you to represent how numbers can be raised to powers. Through negative values, they also allow you to create the inverses of values. Working with basic exponents enables you to use powers of ten in conjunction with rational representations of numbers to express extremely large and extremely small values. Along with this discussion, you explored the uses of absolute values, which enable you to view both negative and positive distances in terms of absolutes relative to zero. Finally, you investigated the use of roots and radicals to complement and extend the use of exponents.