Subjects number theory

Number Classification

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Number Classification


1. The problem asks to classify the number $-1$ by choosing the correct types of numbers it belongs to. 2. First, recall the definitions: - Whole numbers are non-negative integers: $0, 1, 2, 3, \dots$ so $-1$ is not a whole number. - Integers include all whole numbers and their negatives: $\dots, -3, -2, -1, 0, 1, 2, 3, \dots$ so $-1$ is an integer. - Rational numbers are numbers that can be expressed as $\frac{p}{q}$ where $p$ and $q$ are integers and $q \neq 0$. Since $-1 = \frac{-1}{1}$, it is rational. - Irrational numbers cannot be expressed as a fraction of integers, and have non-repeating, non-terminating decimal expansions, so $-1$ is not irrational. 3. Conclusion: - $-1$ is not a whole number. - $-1$ is an integer. - $-1$ is a rational number. - $-1$ is not irrational. Final answer: Choices (B) Integer and (C) Rational are correct.