The absolute value would still be positive? Isn't the point of absolute value to obtain positive results only?vela said:Your interpretation is only true if you're assuming x>0. What if x itself is negative?
1. How does that explain the definition given though? It says |x| = -x if x<0. So by his definition, if I say x = -3, |x| = |-3| = -3.vela said:If ##x=-1##, what's ##-x## equal to?
Ohhh. I understand it now. |-3| = -(-3) = 3.vela said:If ##x=-1##, what's ##-x## equal to?
The absolute value of a number is its distance from 0 on a number line. It is always positive or 0.
No, the absolute value of a number cannot be negative. It is always positive or 0.
The absolute value of x cannot be negative. However, the value of x itself can be negative, which means that the absolute value of x would be the positive version of that negative value.
Yes, it is possible for a negative number to have a positive absolute value. As mentioned before, the absolute value of a number is always positive or 0, so the negative number would simply have its negative sign removed.
The absolute value of a negative number is positive because it represents the distance from 0 on a number line, which is always a positive value. The negative sign of the number is simply removed when taking the absolute value.