The set of real numbers, R, is a mathematical field. For any three real numbers x, y and z and the operations of addition and multiplication,
• x + y belongs to R (closure under addition)
• (x + y) + z = x + (y + z) (associative property of addition)
• There is an element, 0, in R, such that x + 0 = 0 + x = x (existence of additive identity)
• There is an element, -x, in R, such that x + (-x) = (-x) + x = 0 (existence of additive inverse)
• x + y = y + x (Abelian or commutative property of addition)
• x * y belongs to R (closure under multiplication)
• (x * y) * z = x * (y * z) (associative property of multiplication)
• There is an element, 1, in R, such that x * 1 = 1 * x = x (existence of multiplicative identity)
• For every non-zero x, there is an element, 1/x, in R, such that x * 1/x = 1/x * x = 1 (existence of multiplicative inverse)
• x * (y + z) = x*y + x * z (distributive property of multiplication over addition)
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A negative real number is any non-imaginary number less than zero. Examples: -1 -2.435 -.0000000000000000111111 -341 -pi
Nearly any number you can think of is a Real Number. So 8 is a real number.
a real number is a number that can be rational or irrational
If a number is pure imaginary then it has no real component. If it is a real number, then there is no imaginary component. If it has both real and imaginary components, then it is a complex number.
2 is a real number.