Every rational number is ?

Options

A. a natural number
B. an integer
C. a real number
D. a whole number

Answer

To determine whether the statement "Every rational number is an integer" is true or false, we can analyze the definitions of rational numbers and integers.

### Step-by-Step Solution:

1. **Define Rational Numbers**: A rational number is defined as any number that can be expressed in the form of a fraction \( \frac{p}{q} \), where \( p \) and \( q \) are integers and \( q \neq 0 \).

2. **Define Integers**: An integer is a whole number that can be positive, negative, or zero. Examples of integers include -3, -2, -1, 0, 1, 2, 3, etc.

3. **Evaluate the Statement**: The statement claims that every rational number is an integer. To evaluate this, we need to consider examples of rational numbers that are not integers.

4. **Example of a Rational Number**: Let's take the rational number \( \frac{2}{3} \).
- This can be expressed as a decimal: \( \frac{2}{3} = 0.666...\), which is not an integer.

5. **Conclusion**: Since we have found a rational number (\( \frac{2}{3} \)) that is not an integer, we can conclude that the statement "Every rational number is an integer" is false.

### Final Answer:
The statement "Every rational number is an integer" is **false**.