It is the real number whose length represents the distance from the zero on the line to the point on the line.
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Yes.
There are an infinite number of points between any two numbers on the real number line.
A non-zero real number! In set notation, it may be represented as R \ {0}.
No, any number with a decimal point is not an integer, it is a real number.
The number line from 1 to 10 includes 10 integers, but an infinite number of real numbers.