00:01
Let's suppose we want to take the absolute value of a number, say x.
00:05
Well, its absolute value would be expressed in this way, and by definition, the absolute value of x would be either equal to x, and that's if x is greater than or equal to zero, or it would be equal to negative x, and that's if x is less than zero.
00:23
So, for example, if we want to take the absolute value of, for say, negative 17, we would have to decide, well, which portion do we have to use in the description above? well, our quantity is negative, so we're told we have to use this version here because rx, negative 17, is less than zero.
00:45
So going back down here, we're told our answer is going to be the negative of our x value, negative 17, which results in a positive 17.
00:56
So this is a way to take absolute value algebraically, but if we were to do this more geometrically, suppose we want to take the absolute value of negative 3...