Approximations of Square Roots on Number Lines

Practice finding rational approximations for irrational square roots in this eighth-grade math worksheet! Learners are first given an example problem that illustrates how to find the approximation of an irrational square root and plot the approximation on a number line. Then, students are asked to approximate irrational square roots to the nearest tenth and plot their approximations on number lines. Finally, learners are challenged to think about how they could find even more accurate approximations. Understanding how to approximate irrational numbers is a foundational skill for working with irrational numbers, which students will encounter even more in higher-level math courses.