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Line 1: − + − − The term "real number" is in contrast to the [[imaginary number]]s. In classical physics, measurements of real world physical objects that can vary smoothly and continuously, like [[speed]] or [[temperature]], are treated as real numbers. − − In a number line representation, the real numbers correspond to all the points on a geometric line. The distance between any two points on a line is a real number. − − In computer programming, some computer languages such as [[FORTRAN]] include a ''real'' data type that is intended to represent real numbers.<ref>In reality, the actual values the computer uses are very-high-precision fractions which can equal or approximate real numbers</ref> − − The real numbers include within them all of these other kinds of numbers:
remove obscure details and nonsense from the intro
'''Real numbers''' are numbers that can be represented by some infinite or finite [[decimal]] representation, such as 0.707106781187...
'''Real numbers''' include within them all of these other kinds of numbers:
*The "natural numbers" or positive integers, 1, 2, 3, ...
*The "natural numbers" or positive integers, 1, 2, 3, ...