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No. Zero is neither positive nor negative, by definition. A positive number is greater than zero. A negative number is less than zero. Although, zero is a non-negative number (a set that includes all positive numbers and zero).
A positive number is to the right of the zero on the number line. (I believe that is what you meant to ask).
A positive number is greater than zero; a negative number is less than zero.
Positive (or zero if the original number was zero).
A positive number is any number larger than zero. There are infinitely many such numbers. Any non-negative and non-zero number is positive.