Rational and Irrational Numbers between 0 and 1:

Rational Numbers:
1. 0.2:
- Rational numbers can be expressed as fractions, where the numerator and denominator are both integers.
- So, we can express 0.2 as the fraction 2/10, which is a rational number.
- Here, the numerator (2) and the denominator (10) are both integers.

2. 0.5:
- Similarly, we can express 0.5 as the fraction 1/2, which is also a rational number.
- Here, the numerator (1) and the denominator (2) are both integers.

3. 0.75:
- 0.75 can be expressed as the fraction 3/4, which is a rational number.
- Here, the numerator (3) and the denominator (4) are both integers.

4. 0.3333...:
- The decimal representation of 1/3 is 0.3333... (repeating).
- This repeating decimal form represents a rational number.
- Here, the numerator (1) and the denominator (3) are both integers.

5. 0.125:
- 0.125 can be expressed as the fraction 1/8, which is a rational number.
- Here, the numerator (1) and the denominator (8) are both integers.

Irrational Numbers:
1. √2:
- The square root of 2 (√2) is an irrational number.
- It cannot be expressed as a fraction since it is a non-repeating and non-terminating decimal.
- The decimal representation of √2 goes on forever without any pattern.

2. π (Pi):
- Pi (π) is another example of an irrational number.
- It is the ratio of the circumference of any circle to its diameter.
- The decimal representation of Pi is non-repeating and non-terminating.

3. e:
- Euler's number (e) is another irrational number.
- It is a mathematical constant that is approximately equal to 2.71828.
- The decimal representation of e is non-repeating and non-terminating.

4. √3:
- The square root of 3 (√3) is an irrational number.
- It cannot be expressed as a fraction and has a non-repeating and non-terminating decimal representation.

5. Golden Ratio (φ):
- The golden ratio (φ) is an irrational number.
- It is approximately equal to 1.61803 and is often found in art, architecture, and nature.
- The decimal representation of the golden ratio is non-repeating and non-terminating.

Conclusion:
In conclusion, between 0 and 1, we can find both rational and irrational numbers. Rational numbers are expressed as fractions, where both numerator and denominator are integers. On the other hand, irrational numbers cannot be expressed as fractions and have non-repeating