Name the property of real numbers?

Answer 1

Real numbers have several properties, not just one. For example: one of its properties is that it they are dense - which means, more or less, that you can find a number that is arbitrarily close to any given number.

Answer 2

The real number system is a mathematical field. This means that if x, y and z are real numbers, then for any x, y and z (except where indicated otherwise),

• x + y is a real number;
• x + (y + z) = (x + y) + z;
• there exists a number, 0, such that 0 + x = x + 0 = x;
• there exists a real number, x' such that x + x' = x' + x = 0 : x' is denoted by -x;
• x + y = y + x
• x * y is a real number;
• x * (y * z) = (x * y) * z;
• there exists a number, 1, such that 1 * x = x * 1 = x
• for any x other than 0, there exists a real number x" such that x * x" = x" * x = 1 : x" is denoted by 1/x;
• x * (y + z) = x*y + x * z