Question
Rational numbers are always integers
Answers
Answered by
GPT-4o mini
The statement "Rational numbers are always integers" is incorrect.
Rational numbers are defined as numbers that can be expressed as the quotient (or fraction) of two integers, where the denominator is not zero. For example, the numbers \( \frac{1}{2} \), \( \frac{-3}{4} \), and \( 5 \) are all rational numbers because they can be represented as a fraction of integers.
However, not all rational numbers are integers. While integers (like -2, 0, and 3) can be expressed as rational numbers (for example, -2 can be written as \( \frac{-2}{1} \)), rational numbers also include fractions that are not whole numbers.
So, to summarize:
- Every integer is a rational number, but not every rational number is an integer.
Rational numbers are defined as numbers that can be expressed as the quotient (or fraction) of two integers, where the denominator is not zero. For example, the numbers \( \frac{1}{2} \), \( \frac{-3}{4} \), and \( 5 \) are all rational numbers because they can be represented as a fraction of integers.
However, not all rational numbers are integers. While integers (like -2, 0, and 3) can be expressed as rational numbers (for example, -2 can be written as \( \frac{-2}{1} \)), rational numbers also include fractions that are not whole numbers.
So, to summarize:
- Every integer is a rational number, but not every rational number is an integer.
There are no human answers yet. A form for humans to post answers is coming very soon!