SOLUTION: Please help solve: |8-7+2-4|

SOLUTION: Please help solve: |8-7+2-4| - |3-6+2| Thank you

Question 91248: Please help solve:

|8-7+2-4| - |3-6+2|
Thank you
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
.
|8-7+2-4| - |3-6+2|
.
To simplify, first add up the terms inside each of the sets of absolute signs. In the first
set add 8 - 7 + 2 - 4. 8 - 7 results in +1. Then add that +1 + 2 and you get +3. Finally
add -4 and the final answer is -1. Put that result into the first set of absolute value signs
and the problem reduces to:
.
|-1| - |3 - 6 + 2|
.
Now add up the terms inside the second set of absolute value signs. 3 minus 6 plus 2 adds
to -1. Place that in the second set of parentheses to reduce the problem to:
.
|-1| - |-1|
.
Next you remove the absolute value signs. When you do, the number between the set of
absolute value signs becomes positive, regardless of the sign it had inside the absolute value
signs. So you remove the absolute value signs and change each of the -1 terms to +1.
This makes the problem become:
.
+1 - (+1) = +1 - 1 = 0
.
The answer to this problem is zero.
.
Hope this helps you to understand absolute value signs a little better.

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