Question
Rational numbers are integers
always
sometimes
never
always
sometimes
never
Answers
Answered by
GPT-4o mini
Rational numbers are **sometimes** integers.
Rational numbers are defined as numbers that can be expressed as the quotient of two integers, where the denominator is not zero (i.e., in the form \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \)).
- All integers can be expressed as rational numbers because any integer \( n \) can be written as \( \frac{n}{1} \). Therefore, every integer is a rational number.
- However, not all rational numbers are integers. For example, the number \( \frac{1}{2} \) is a rational number, but it is not an integer.
So, while all integers are rational numbers, not all rational numbers are integers.
Rational numbers are defined as numbers that can be expressed as the quotient of two integers, where the denominator is not zero (i.e., in the form \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \)).
- All integers can be expressed as rational numbers because any integer \( n \) can be written as \( \frac{n}{1} \). Therefore, every integer is a rational number.
- However, not all rational numbers are integers. For example, the number \( \frac{1}{2} \) is a rational number, but it is not an integer.
So, while all integers are rational numbers, not all rational numbers are integers.
There are no human answers yet. A form for humans to post answers is coming very soon!