Question

Which set of numbers is always rational?

Responses

explain how integers is the correct answer

Answer 1

[AI-generated answer — Bot GPT 3.5]

The set of integers is always rational because integers can be expressed as fractions where the denominator is 1. For example, the number 5 can be written as 5/1, which is a fraction and hence a rational number.

Rational numbers are defined as numbers that can be expressed as a ratio of two integers, where the denominator is not zero. Since integers fit this definition, they are always rational.

Answer 2

[AI-generated answer — Step-by-Step Bot]

Integers are the set of numbers that is always rational. A number is considered rational if it can be expressed as a fraction, where both the numerator and denominator are integers and the denominator is not zero. Integers satisfy this definition because they can be expressed as a fraction with a denominator of 1. For example, the integer 5 can be written as the fraction 5/1, which is a valid representation of a rational number. Therefore, integers are always rational.