What is the difference between real numbers and rational numbers?

All rational numbers are real numbers, but not all real numbers are rational. Rational numbers are numbers that can be expressed as fractions, while real numbers include both rational and irrational numbers.

• Real Numbers: All numbers on the number line, including rational and irrational numbers.
• Rational Numbers: Numbers that can be written as p/q, where p and q are integers and q ≠ 0.

Thus, rational numbers are a subset of real numbers, while real numbers cover a wider set including irrationals.