Question

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

Type the correct answer in the box. Use numerals instead of words

Answer 1

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.