What is the Real number?
- Real numbers are the numbers which include both rational and irrational numbers.
- It is denoted by R
Real number Examples
Real number Properties
- Any non-zero real number is either negative or positive.
- The real numbers make up an infinite set of numbers
- The sum of two non-negative real numbers is again a non-negative real number
- The product of two non-negative real numbers is again a non-negative real number
- A real number is any number that is not imaginary, meaning the square of it must be a positive real number.
- Every real number has an “order”. This means if we take two real numbers x and y, exactly one of these is true: x<y or x=y or x>y
- Every rational and irrational number is real.
- Any real number is either rational or irrational, but not both.