Let's analyze each number to determine whether it is a rational number. A rational number can be expressed as a fraction $\frac{a}{b}$, where $a$ and $b$ are integers, and $b \neq 0$.

Here is the analysis for each number in the image:

1. 0.25: This is a rational number since $0.25 = \frac{1}{4}$, which is a fraction.

2. $\sqrt{89}$: This is not a rational number because $\sqrt{89}$ is an irrational number; it cannot be expressed as a simple fraction, and the square root of 89 is not a perfect square.

3. 3.14159...: This represents pi ($\pi$), which is an irrational number because it cannot be expressed as a fraction and has infinite, non-repeating decimal places.

4. 95: This is a rational number because it is an integer and can be expressed as $\frac{95}{1}$.

5. 4.080080008...: This is not a rational number because it is a non-repeating, non-terminating decimal, which is characteristic of an irrational number.

6. $\sqrt{0.64}$: This is a rational number because $\sqrt{0.64} = 0.8$, and $0.8 = \frac{4}{5}$, which is a fraction.

7. 10.84: This is a rational number because it is a terminating decimal and can be expressed as $\frac{1084}{100}$.

8. $\frac{2}{5}$: This is a rational number because it is already expressed as a fraction of two integers.

Rational Numbers in the List:

• 0.25
• 95
• $\sqrt{0.64}$
• 10.84
• $\frac{2}{5}$

Would you like a more detailed explanation of any specific number, or do you have any questions?

Relative Questions:

1. What is the difference between a rational and irrational number?
2. How can you tell if a square root is rational or irrational?
3. Why is pi ($\pi$) considered irrational?
4. Can repeating decimals always be considered rational?
5. What are some real-life applications of rational numbers?

Tip:

Remember, all integers are rational numbers since they can be expressed as a fraction with denominator 1.