Yes. -10.39 is real because it does not have an imaginary component.
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one-tenth of 1039 = 1/10 of 1039= 1/10 x 1039= 0.1 x 1039= 103.9
10.39 = 1039/100
The square of a real number is always a real number.
Yes, zero is a real number. It is not a counting number, but it is an integer, a rational number, and a real number.
Of course, not only can it be a real number but it is a real number. When you take the square root times itself, the result is a number that is real.