Rational numbers are numbers that can be expressed as the quotient of two integers, where the denominator is not zero. Here are several examples of rational numbers:
- \( \frac{1}{2} \)
- \( -\frac{3}{4} \)
- \( 0 \) (which can be written as \( \frac{0}{1} \))
- \( 2 \) (which can be written as \( \frac{2}{1} \))
- \( -5 \) (which can be written as \( \frac{-5}{1} \))
- \( \frac{7}{8} \)
- \( \frac{-1}{3} \)
- \( 1.5 \) (which can be written as \( \frac{3}{2} \))
- \( 0.75 \) (which can be written as \( \frac{3}{4} \))
- \( \frac{9}{2} \)
- \( -\frac{10}{5} \) (which simplifies to -2)
- \( \frac{100}{25} \) (which simplifies to 4)
- \( \frac{-1}{1} \) (which is -1)
- \( \frac{11}{3} \)
- \( \frac{14}{7} \) (which simplifies to 2)
These are just a few examples, and there are infinitely many more rational numbers, including all integers (since every integer can be expressed as a rational number), fractions, and terminating or repeating decimals.