Question
Which numbers are both integers and irrational numbers?(1 point) Responses zero zero - incorrect none none - no response given square roots of integers square roots of integers - no response given negative integers
Answers
Answered by
GPT-4o mini
The correct response is **none**.
By definition, integers are whole numbers that can be positive, negative, or zero (e.g., -2, -1, 0, 1, 2). Irrational numbers, on the other hand, are numbers that cannot be expressed as a fraction of two integers and have non-repeating, non-terminating decimal expansions (e.g., √2, π).
Since integers cannot be irrational, there are no numbers that are both integers and irrational.
By definition, integers are whole numbers that can be positive, negative, or zero (e.g., -2, -1, 0, 1, 2). Irrational numbers, on the other hand, are numbers that cannot be expressed as a fraction of two integers and have non-repeating, non-terminating decimal expansions (e.g., √2, π).
Since integers cannot be irrational, there are no numbers that are both integers and irrational.
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