1. **Stating the problem:** We need to determine who is correct between Sammy and Vivian regarding the classification of the number 3 in terms of natural, whole, integer, and rational numbers.
2. **Definitions:**
- Natural numbers are the set of positive integers starting from 1, i.e., $\{1, 2, 3, \ldots\}$.
- Whole numbers are natural numbers including zero, i.e., $\{0, 1, 2, 3, \ldots\}$.
- Integers include all whole numbers and their negatives, i.e., $\{\ldots, -2, -1, 0, 1, 2, \ldots\}$.
- Rational numbers are numbers that can be expressed as a fraction $\frac{p}{q}$ where $p$ and $q$ are integers and $q \neq 0$.
3. **Analyzing Sammy's statement:** Sammy says 3 is a whole number, so it is also an integer and rational. Since 3 is indeed a whole number (it is in $\{0,1,2,3,\ldots\}$), it is also an integer and rational number. Sammy's statement is correct.
4. **Analyzing Vivian's statement:** Vivian says 3 is a natural number, so it is also whole, integer, and rational. Since 3 is a natural number (it is in $\{1,2,3,\ldots\}$), it is also a whole number (natural numbers are a subset of whole numbers), an integer, and rational. Vivian's statement is also correct.
5. **Conclusion:** Both Sammy and Vivian are correct because 3 belongs to all these sets: natural, whole, integer, and rational numbers.
**Final answer:** Both Sammy and Vivian are correct.
Number Classification F491D1
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