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Use the order of operations to evaluate this expression: (-2 + 1 )² + 5 (12 ÷ 3 )

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Final answer:

To evaluate the expression (-2 + 1)² + 5 (12 ÷ 3), we follow the order of operations, resulting in a final answer of 21.

Step-by-step explanation:

To evaluate the expression (-2 + 1)² + 5 (12 ÷ 3) using the order of operations, we need to follow these steps:

  1. Solve the expression inside the parentheses (-2 + 1), which equals -1.
  2. Square the result of the first step: (-1)², which equals 1 because when two negative numbers multiply, the answer has a positive sign.
  3. Next, perform the division inside the parentheses (12 ÷ 3), which equals 4.
  4. Multiply the result of the third step by 5: 5 × 4, which equals 20.
  5. Add the results of the second and fourth steps: 1 + 20, which gives the final answer of 21.

Therefore, the evaluated expression equals 21.

User Sergey Sirotkin
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