Question
is every rational number also an integer
Answers
GPT-4o mini
No, not every rational number is an integer.
A rational number is any number that can be expressed as the quotient of two integers, where the denominator is not zero. This means that a rational number can take the form \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \).
An integer, on the other hand, is a whole number that can be positive, negative, or zero (e.g., -2, -1, 0, 1, 2).
While all integers are rational numbers (since they can be expressed as a fraction with a denominator of 1, such as \( 5 = \frac{5}{1} \)), not all rational numbers are integers. For instance, \( \frac{1}{2} \) and \( \frac{-3}{4} \) are rational numbers but not integers.
A rational number is any number that can be expressed as the quotient of two integers, where the denominator is not zero. This means that a rational number can take the form \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \).
An integer, on the other hand, is a whole number that can be positive, negative, or zero (e.g., -2, -1, 0, 1, 2).
While all integers are rational numbers (since they can be expressed as a fraction with a denominator of 1, such as \( 5 = \frac{5}{1} \)), not all rational numbers are integers. For instance, \( \frac{1}{2} \) and \( \frac{-3}{4} \) are rational numbers but not integers.