Final answer:
To evaluate the given expression, use the order of operations to simplify the expression step by step.
Step-by-step explanation:
To evaluate the expression (−23) –[(−25) – {(−17) –(−19)}], we need to follow the order of operations, which is parentheses, then multiplication/division from left to right, and finally addition/subtraction from left to right.
- Simplify the expression inside the innermost parentheses: (−17) – (−19) = -17 + 19 = 2
- Substitute the result back into the expression: (−25) – 2 = -25 - 2 = -27
- Simplify the expression inside the outer parentheses: [−27] = -27
- Substitute the result back into the expression: (−23) – (-27) = -23 + 27 = 4
Therefore, the value of (−23) –[(−25) – {(−17) –(−19)}] is 4.