1. **State the problem:** We need to order the integers \(-(-2), 5^2, -10, -|-8|, |-11|\) from least to greatest. 2. **Evaluate each expression:** - \(-(-2) = 2\) because the negative of negative two is positive two. - \(5^2 = 25\) since 5 squared is 25. - \(-10\) is already an integer. - \(-|-8| = -8\) because the absolute value of \(-8\) is 8, and the negative of that is \(-8\). - \(|-11| = 11\) since the absolute value of \(-11\) is 11. 3. **List the evaluated numbers:** \(-10, -8, 2, 11, 25\). 4. **Order from least to greatest:** \(-10, -8, 2, 11, 25\). 5. **Match with the given options:** - Option 1: \(|-11|, -10, -|-8|, -(-2), 5^2\) = \(11, -10, -8, 2, 25\) (not ordered correctly) - Option 2: \(-10, |-11|, -|-8|, -(-2), 5^2\) = \(-10, 11, -8, 2, 25\) (not ordered correctly) - Option 3: \(-10, -|-8|, -(-2), 5^2, |-11|\) = \(-10, -8, 2, 25, 11\) (not ordered correctly) - Option 4: \(-10, -|-8|, -(-2), |-11|, 5^2\) = \(-10, -8, 2, 11, 25\) (correct order) **Final answer:** Option 4