Explain why the absolute value of a number will never be negative

The absolute value of a number will never be negative because absolute value is the distance from zero, so it will always be positive. For example, you can't be - 6 away from 0, you are 6 away from 0.

The absolute value basically means the distant from zero. Distant is never negative, you don't say 'Bob walked negative 2 miles from his house'. For example: The absolute value of - 5 is 5 because if you count the intervals from zero to - 5, there are 5 spaces.