yes example pi which is ratio of circumference of a circle by diameter.
That is a real number which is APPROXIMATED as 22/7 but is not a rational number. Another example square root of 5,6,7. These are all real numbers but cannot be expressed as a rational number (p/q form)
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All real are rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
All rational numbers are real numbers.
Real numbers can be rational or irrational because they both form the number line.
Rational numbers form a proper subset of real numbers. So all rational numbers are real numbers but all real numbers are not rational.
All integers are rational numbers. There are integers with an i behind them that are imaginary numbers. They are not real numbers but they are rational. The square root of 2 is irrational. It is real but irrational.