Subjects algebra

Number Classification E73Bb2

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

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.