Question

Use the order of operations to evaluate this expression: ((-2+1)^2 + 5(12 div 3) - 9). Type the correct answer in the box. Use numerals instead of words.

Answer 1

To evaluate the expression using the order of operations, start with the parentheses, then exponents, followed by multiplication and division, and finally, addition and subtraction. The expression (-2+1)^2 + 5(12 div 3) - 9 simplifies to 12.

Step-by-step explanation:

To evaluate the expression ((-2+1)^2 + 5(12 div 3) - 9) using the order of operations, we follow PEMDAS which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

First, we calculate the expression within the parentheses: (-2 + 1) = -1. Then we raise this value to the second power: (-1)^2 = 1, because when two negative numbers multiply, the answer has a positive sign.

Next, we perform the division within the parentheses: 12 div 3 = 4. Afterwards, we multiply that result by 5: 5(4) = 20.

Now, our expression looks like this: (1 + 20 - 9). We then perform the addition and subtraction from left to right: 1 + 20 = 21, and finally, 21 - 9 = 12.

So, the expression ((-2+1)^2 + 5(12 div 3) - 9) evaluates to 12.