Question

Determine if 0, point, 8, 4, 3, 7, 50.84375 is rational or irrational and give a reason for your answer.

Answer 1

To determine whether the numbers given (0, point, 8, 4, 3, 7, 50.84375) are rational or irrational, we need to understand the definitions:

- **Rational numbers** are numbers that can be expressed as the quotient of two integers (a fraction), where the denominator is not zero.
- **Irrational numbers** cannot be expressed as a fraction of two integers and are not terminating or repeating decimals.

Now, let's analyze each number:

1. **0**: This is a rational number because it can be expressed as \( \frac{0}{1} \).

2. **point**: It seems like this might be shorthand or a typo, but if it refers to "0.0", it is also a rational number because it can be expressed as \( \frac{0}{1} \).

3. **8**: This is a rational number because it can be expressed as \( \frac{8}{1} \).

4. **4**: This is also a rational number because it can be expressed as \( \frac{4}{1} \).

5. **3**: Another rational number, as it can be written as \( \frac{3}{1} \).

6. **7**: This is a rational number as well, expressed as \( \frac{7}{1} \).

7. **50.84375**: This is a rational number because it is a terminating decimal, which can also be expressed as \( \frac{5084375}{100000} \).

In conclusion, all of the numbers listed (0, point (assuming it’s 0.0), 8, 4, 3, 7, and 50.84375) are rational numbers.