Problem 63
Question
Find each sum. $$-20+[-|15+(-25)|]$$
Step-by-Step Solution
Verified Answer
The solution to the expression \(-20+[-|15+(-25)|]\) is \(-30\).
1Step 1: Evaluate the expression within the bars of the absolute value
First, add the numbers inside the absolute value bars. The operation within the bars is \(15+(-25)\), which simplifies to \(-10\).
2Step 2: Simplify the resulting Absolute Value
Next, evaluate the absolute value of \(-10\), which is \(10\). The absolute value of a number is always positive or zero. Hence, the simplification becomes \(-20 + [-10]\).
3Step 3: Evaluate the negative sign outside the square brackets
Observe that there is a negative sign just outside the square brackets. This means the inside term should be negated, leading to \(-20 + -10\).
4Step 4: Perform the final Addition operation
Lastly, add the two negative numbers which gives a result of \(-30\).
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