state whether the statements are True or False.
In any rational number `p/q`, denominator is always a nonzero integer.

Answer

To determine whether the statement "In any rational number p/q, the denominator is always a non-zero integer" is true or false, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Rational Numbers**:
- A rational number is defined as a number that can be expressed in the form p/q, where p and q are integers.

2. **Identifying the Denominator**:
- In the expression p/q, 'p' is the numerator and 'q' is the denominator.

3. **Condition on the Denominator**:
- According to the definition of rational numbers, the denominator 'q' must be a non-zero integer. This means that 'q' can take any integer value except for zero.

4. **Conclusion**:
- Since the definition explicitly states that the denominator cannot be zero, the statement "In any rational number p/q, the denominator is always a non-zero integer" is indeed true.

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

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