Problem 90
Question
Find the value of each expression. $$|24-(-16)|-|-51-(-31+2)|$$
Step-by-Step Solution
Verified Answer
-40
1Step 1: 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.
2Step 2: Evaluate Absolute Values
Now, calculate the absolute values. The absolute value of 40 is 40, and the absolute value of -80 is 80.
3Step 3: Final Subtraction
Finally, subtract the second absolute value from the first: 40 - 80 equals -40.
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