1. The problem asks to classify the number $-1 \frac{439}{465}$ among whole number, natural number, rational number, and integer.
2. First, convert the mixed number to an improper fraction:
$$-1 \frac{439}{465} = -\left(1 + \frac{439}{465}\right) = -\frac{465}{465} - \frac{439}{465} = -\frac{465 + 439}{465} = -\frac{904}{465}$$
3. Definitions:
- Whole numbers are $\{0,1,2,3,\ldots\}$ (non-negative integers).
- Natural numbers are $\{1,2,3,\ldots\}$ (positive integers).
- Integers are $\{\ldots,-2,-1,0,1,2,\ldots\}$.
- Rational numbers are numbers that can be expressed as $\frac{p}{q}$ where $p,q$ are integers and $q \neq 0$.
4. Check each classification:
- Whole number? No, because $-1 \frac{439}{465}$ is negative and not zero or positive integer.
- Natural number? No, because it is negative.
- Integer? No, because it is not a whole number; it has a fractional part.
- Rational number? Yes, because it can be expressed as $-\frac{904}{465}$, a ratio of two integers.
5. Final answer: The number $-1 \frac{439}{465}$ is a rational number only.
Number Classification E73Bb2
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