Question

Use the order of operations to evaluate this expression:(-2 + 1 )² + 5(12 ÷ 3 ) - 9

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

Answer 1

Using the order of operations, the expression (-2 + 1)² + 5(12 ÷ 3) - 9 is first calculated inside the brackets, squared, then the division is performed, followed by multiplication, and finally, addition and subtraction, resulting in a value of 12.

Step-by-step explanation:

To evaluate the expression (-2 + 1)² + 5(12 ÷ 3) - 9 using the order of operations, follow these steps:

1. Calculate the expression within the brackets: (-2 + 1) = -1.
2. Square the result of the expression within the brackets: (-1)² = 1.
3. Divide 12 by 3: 12 ÷ 3 = 4.
4. Multiply 5 by the result of the division: 5 × 4 = 20.
5. Add the squared result to the multiplication: 1 + 20 = 21.
6. Subtract 9 from the addition result: 21 - 9 = 12.

Therefore, the value of the expression is 12.