Question

Rational numbers are integers
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.
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