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Real numbers can be thought of as numbers which can be represented by some finite or infinite decimal representation.  
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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...
    
In classical physics, measurements of things that can vary smoothly and continuously, like speed or temperature, are treated as real numbers.
 
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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