How do you simplify #abs(-3/2) #?

Answer 1

#|-3/2|#, or the absolute value of #-3/2#, can be written as #|0 - 3/2|#.

Recall that #|x - a|# means that the value is a distance #a# from #x# on the number line.

So, this means you are looking for the distance from #0# to #-3/2#. In other words, the distance from #(0,0)#, to #(-3/2,0)#.

This distance is always positive, and it is equal to #\mathbf(3/2)#.

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Answer 2

Ethan Adkins

The absolute value of -3/2 is 3/2.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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