**How Will This Worksheet on "Properties of Rational and Irrational Numbers" Benefit Your Students' Learning?**

- Improving knowledge of number classification.
- Using practice problems to reinforce concepts.
- Gaining the ability to recognize and distinguish between irrational and rational numbers.
- Developing the capacity to solve problems.
- Getting pupils ready for complex mathematical ideas.
- Gaining assurance when working with different kinds of numbers.
- Offering a strong basis for algebra and other advanced mathematics.

**How to Find Properties of Rational and Irrational Numbers?**

- Determine if it's a fraction, integer, decimal, or square root.
- Check for Rationality:

`1`. Fraction Form: Can be written as `\frac{a}{b}` with integers \(a\) and \(b \neq 0\).

`2`. Decimal Form: Terminates or repeats.

- Check for Irrationality:

`1`. Can not be expressed as a fraction.

`2`. Decimal is non-terminating and non-repeating.

- Understand Properties:

`1`. Rational: Terminating/repeating decimals, can be fractions.

`2`. Irrational: Non-terminating, non-repeating decimals.