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No. The absolute value of a number is the value of the number ignoring the sign - it is always positive: The absolute value of a negative number is a positive number; The absolute value of a positive number is a positive number.
That is because of the way the absolute value is defined. The absolute value of a positive number is positive, the absolute value of a negative number is also positive. The absolute value of zero is zero. Even in the complex numbers, the absolute value is defined in such a way that it is a real and positive number.
Well, honey, the absolute value of a number is always positive, no matter what. It's like a magnet that repels negativity. So, no, it can't be both positive and negative at the same time. It's just not how math works, sweetie.
No. The absolute value is non-negative but, to be pedantic, that does not mean positive. The absolute value of 0 is 0 which is NOT positive.
The absolute value of a number is the positive value of that number. Since 10 is already positive, it is not changed. So the absolute value of 10 is 10.