State in each case whether true or false:
All rational numbers are real numbers.

Answer

To determine whether the statement "All rational numbers are real numbers" is true or false, we can break down the definitions and relationships between rational and real numbers.

### Step-by-Step Solution:

1. **Understanding Rational Numbers**:
- Rational numbers are defined as numbers that can be expressed in the form \( \frac{p}{q} \), where \( p \) and \( q \) are integers and \( q \neq 0 \). Examples of rational numbers include \( \frac{1}{2}, -3, 0, \) and \( 4.75 \).

2. **Understanding Real Numbers**:
- Real numbers include all the numbers that can be found on the number line. This includes both rational numbers (like \( \frac{1}{2} \) and \( -3 \)) and irrational numbers (like \( \sqrt{2} \) and \( \pi \)).

3. **Relationship Between Rational and Real Numbers**:
- Since rational numbers are a subset of real numbers, this means that every rational number is also a real number.

4. **Conclusion**:
- Based on the definitions, we can conclude that the statement "All rational numbers are real numbers" is indeed true.

### Final Answer:
The statement is **True**.