is the absolute value of -20 greater than -6?
When comparing the absolute values of numbers, you're essentially comparing their magnitudes without regard to their signs.
The absolute value of a number is its distance from zero on a number line, without considering the direction from zero. The absolute value is always non-negative.
So the absolute value of -20 is 20, and the absolute value of -6 is 6. When comparing these two absolute values:
|−20| = 20
|−6| = 6
Since 20 is greater than 6, the absolute value of -20 is indeed greater than the absolute value of -6.
If ever comparing absolute values to negative numbers directly, remember that any absolute value will always be non-negative (zero or positive), which makes it automatically greater than any negative number.
However, in your question, since you're comparing absolute values to each other, -20's absolute value (which is 20) is greater than -6's absolute value (which is 6).