Classify each number as being a natural number \( (N) \), whole number \( (W) \), integer \( (I) \), rational number \( (Q) \), and/or irrational number \( (Q) \). Select all correct answers. a) \( -\frac{30}{3} \)

Let's analyze the number \( -\frac{30}{3} \). First, we simplify it: \[ -\frac{30}{3} = -10 \] Now, we classify \( -10 \): 1. **Natural Number (N)**: Natural numbers are positive integers starting from 1 (1, 2, 3, ...). Since \( -10 \) is negative, it is not a natural number. 2. **Whole Number (W)**: Whole numbers include all natural numbers and zero (0, 1, 2, 3, ...). Since \( -10 \) is negative, it is not a whole number. 3. **Integer (I)**: Integers include all whole numbers and their negative counterparts (..., -3, -2, -1, 0, 1, 2, 3, ...). Since \( -10 \) is an integer, it is classified as an integer. 4. **Rational Number (Q)**: Rational numbers are numbers that can be expressed as the quotient of two integers (where the denominator is not zero). Since \( -10 \) can be expressed as \( -10/1 \), it is a rational number. 5. **Irrational Number**: Irrational numbers cannot be expressed as a fraction of two integers. Since \( -10 \) can be expressed as a fraction, it is not an irrational number. In summary, the classifications for \( -10 \) are: - Integer (I) - Rational Number (Q) So the correct answers are: - Integer (I) - Rational Number (Q)