Students are given a pair of numbers. They are asked to determine which is larger, and then justify their answer. The numbers involved are rational numbers and common irrational numbers, such π and square roots. This task can be used to either build or assess initial understandings related to rational approximations of irrational numbers.

### General Information

**Subject(s):**Mathematics

**Grade Level(s):**8

**Instructional Time:**15 Minute(s)

**Freely Available:**Yes

**Keywords:**Comparing Rational and Irrational Numbers, Comparing, Rational, Irrational, cpalms, icpalms, illustrativemathematics.org, illustrative mathematics, tasks, mathematics, math, Florida standards, resource, free, freely available, problems-based learning, student activities

**Instructional Component Type(s):**

**Problem-Solving Task**

**Resource Collection:**Illustrative Mathematics