Determine the Value

Worksheet Description

This worksheet presents tasks requiring students to identify and write down both a rational and an irrational number within given intervals. The intervals provided are between whole and decimal numbers, and students must demonstrate an understanding of what constitutes a rational (a number that can be expressed as a fraction of integers) versus an irrational number (a number that cannot be expressed as a simple fraction). This exercise is designed to test the student’s ability to conceptualize and find examples of these numbers within specific ranges, illustrating the density of both rational and irrational numbers within the real number line.

The worksheet is aimed at reinforcing the student’s understanding of rational and irrational numbers by finding specific examples within certain numerical boundaries. It teaches students that between any two numbers, no matter how close they are, there are infinitely many rational and irrational numbers. This concept is foundational for understanding the continuity and density of the real number system. By completing this exercise, students will improve their ability to distinguish between these two categories of numbers and enhance their number sense, a critical skill in higher mathematics.