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Chapter 1: Problem 90

Find the value of each expression. $$|24-(-16)|-|-51-(-31+2)|$$

Short Answer

Expert verified
-40

Step by step solution

01

Simplify Inside Absolute Value Bars

Start by simplifying the operations inside the two sets of absolute value bars. For the first one, 24-(-16) equals 40. For the second one, perform the operations inside the parentheses first: -51-(-31+2) equals -51 - 29 which equals -80.
02

Evaluate Absolute Values

Now, calculate the absolute values. The absolute value of 40 is 40, and the absolute value of -80 is 80.
03

Final Subtraction

Finally, subtract the second absolute value from the first: 40 - 80 equals -40.

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