Does #-|-4|=|-(-4)|#?

1 Answer
Patrick H.
Aug 2, 2016

No, #−|−4|!=|−(−4)|#.

Explanation:

The absolute value of a number is the magnitude of that number regardless of the sign before it. For example, the absolute value of both #-4# and #4# is #4#.

Let's look at the left side of the equation, #-abs(-4)#. The absolute value of #-4# is #4#. This leaves us with #-4# on the left side of the equation.

Let's look at the right side of the equation now, #abs(-(-4))#. #-1*-4=4#. This leaves us with #abs(4)#. The absolute value of #4# is #4#. This leaves us with #4# on the right side of the equation.

We now have this:

#-4=4#

#-4!=4#, so #−|−4|!=|−(−4)|#.

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