This is one of a series of self-guided discovery labs for a meaningful understanding of core mathematical concepts. Students use the familiar format of the scientific method to answer a mathematical question/problem. In this lab, students investigate the relationships among square roots, perfect squares, and positive and negative powers of ten (10). This math lab also explores when the square root of numbers such as 0.016, 0.16, 1.6, 16, 160, 1600 are rational or irrational. Full answ