Rational and Irrational Numbers Worksheet with Detailed Solutions

Identify the different categories of values provided in this set of exercises. Begin by determining if each value can be expressed as a fraction or if it has a non-repeating, non-terminating decimal form. This classification is the foundation for solving the tasks effectively.

To classify each value: check whether it can be written as a ratio of two integers. If so, it falls under one group; otherwise, it belongs to the other. Remember to verify the form of each value by considering its decimal expansion and whether it repeats or ends.

For more complex examples, use the approach of simplification or expansion. Convert decimals into fractions where possible, and examine their properties closely to place them in the correct group. This will ensure accuracy in classification.

After completing the tasks, review the provided solutions to verify your classifications. Understanding the reasoning behind each decision will help reinforce your ability to distinguish between the different types of values in future exercises.