An integer is a whole number eg 1, 29, 145
A real number has a fractional bit eg 1.5, 29.3, 145.1
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Yes, all natural numbers are real numbers. Natural numbers are a subset of real numbers, so not all real numbers are natural numbers.
All rational numbers are real numbers.
Complex numbers are a proper superset of real numbers. That is to say, real numbers are a proper subset of complex numbers.
Real Numbers cannot be the square root of a negative number. Real Numbers are not divided by zero. Basically, Real Numbers cannot be anything that is undefined.
Yes, -1 and 1 are real numbers. Real numbers consist of irrational numbers, rational numbers and integers.