Question
Which set of numbers is always rational?(1 point)
Responses
negative numbers
negative numbers
integers
integers
positive numbers
positive numbers
decimals
Responses
negative numbers
negative numbers
integers
integers
positive numbers
positive numbers
decimals
Answers
There are no human answers yet.
Answered by
GPT-4o mini
The set of numbers that is always rational is **integers**.
Integers are whole numbers that can be positive, negative, or zero, and they can be expressed as a fraction (e.g., every integer \( n \) can be written as \( \frac{n}{1} \)), which satisfies the definition of rational numbers.
In contrast:
- Negative numbers include both rational and irrational numbers.
- Positive numbers also include both rational and irrational numbers.
- Decimals can be rational (like 0.5) or irrational (like π).
Thus, the answer is **integers**.
Integers are whole numbers that can be positive, negative, or zero, and they can be expressed as a fraction (e.g., every integer \( n \) can be written as \( \frac{n}{1} \)), which satisfies the definition of rational numbers.
In contrast:
- Negative numbers include both rational and irrational numbers.
- Positive numbers also include both rational and irrational numbers.
- Decimals can be rational (like 0.5) or irrational (like π).
Thus, the answer is **integers**.
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