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'''Real numbers''' can be thought of as numbers which can be represented by some infinite or finite decimal representation, such as 0.707106781187...
 
'''Real numbers''' can be thought of as numbers which can be represented by some infinite or finite decimal representation, such as 0.707106781187...
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They are called "real" because they actually exist in the real world, i.e. measures, weights, temperetures and so on are all real numbers. As opposed to the [[imaginary number|imaginary numbers]], which are just an abstract concept, but do not really exist.
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They are called "real" because they actually exist in the real world, i.e. measures, weights, temperatures and so on are all real numbers. As opposed to the [[imaginary number|imaginary numbers]], which are just an abstract concept, but do not really exist.
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In classical physics, measurements of things that can vary smoothly and continuously, like speed or temperature, are treated as real numbers.
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In classical physics, measurements of things 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 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.
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