Name the subsets of the real numbers to which each number belongs to -2.38

Question

GPT-4o mini · Answer

The number $-2.38$ belongs to several subsets of the real numbers. Here are the relevant subsets: 1. **Natural Numbers ($\mathbb{N}$)**: $-2.38$ does not belong to this set, as natural numbers are positive integers (1, 2, 3, ...). 2. **Whole Numbers ($\mathbb{W}$)**: $-2.38$ does not belong to this set, as whole numbers include non-negative integers (0, 1, 2, ...). 3. **Integers ($\mathbb{Z}$)**: $-2.38$ does not belong to this set, as integers are whole numbers that can be positive, negative, or zero (..., -2, -1, 0, 1, 2, ...). 4. **Rational Numbers ($\mathbb{Q}$)**: $-2.38$ belongs to this set since it can be expressed as a fraction (-238/100). 5. **Irrational Numbers**: $-2.38$ does not belong to this subset, as irrational numbers cannot be expressed as a simple fraction. 6. **Real Numbers ($\mathbb{R}$)**: $-2.38$ belongs to this set, as all rational and irrational numbers are part of the real numbers. In summary, $-2.38$ is a member of the following subsets: - Rational Numbers ($\mathbb{Q}$) - Real Numbers ($\mathbb{R}$)