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Which set of numbers is always rational?(1 point) Responses real numbers real numbers decimals decimals integers integers posit...Question
Which set of numbers is always rational?(1 point)
Responses
real numbers
real numbers
decimals
decimals
integers
integers
positive numbers
Responses
real numbers
real numbers
decimals
decimals
integers
integers
positive numbers
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 always be expressed as a fraction (for example, \(3\) can be expressed as \(\frac{3}{1}\)).
While real numbers encompass both rational and irrational numbers, decimals can also be rational or irrational (e.g., \(0.5\) is rational, while \(\pi\) is irrational). Positive numbers can also be rational or irrational (e.g., \(1\) is rational, while \(\sqrt{2}\) is irrational).
So the correct response is **integers**.
Integers are whole numbers that can be positive, negative, or zero, and they can always be expressed as a fraction (for example, \(3\) can be expressed as \(\frac{3}{1}\)).
While real numbers encompass both rational and irrational numbers, decimals can also be rational or irrational (e.g., \(0.5\) is rational, while \(\pi\) is irrational). Positive numbers can also be rational or irrational (e.g., \(1\) is rational, while \(\sqrt{2}\) is irrational).
So the correct response is **integers**.
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