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Explanation:
The value 0.1 is closest to zero if we were to compare all of the values on a number line.
A nonvisual approach is to move the decimal point over to the right 2 spots for each value.
The original list of {-0.15, 0.2, 0.1, 0.5} becomes {-15, 20, 10, 50}
Then we can apply the absolute value to each item to make any negative item turn positive. That leads to the list of {15, 20, 10, 50}
At this point, we simply pick the smallest value and that will be the closest item to zero. The closer a number is to zero, the smaller the absolute value distance will be. Of that third list, 10 is the smallest number, which corresponds to 0.1 in the original list. So that's one way to see how 0.1 is the closest item to 0.
