Question

topic: order of operations
progress
the movement of the progress bar may be uneven because questions can be worth more or less (including zero)
simplify: |3 - 8| - (12 ÷ 3 + 1)²
-4
-20
-30
-14

Explanation:

Step1: Calculate absolute value

$|3 - 8| = |-5| = 5$

Step2: Compute inside parentheses

$12 ÷ 3 + 1 = 4 + 1 = 5$

Step3: Square the result

$5^2 = 25$

Step4: Subtract the two values

$5 - 25 = -20$
Wait, correction: Wait, no—wait the original expression is $|3 - 8| - (12 ÷ 3 + 1)^2$. Step1: $|3-8|=5$. Step2: inside the parentheses: $12÷3=4$, $4+1=5$. Step3: $5^2=25$. Step4: $5 - 25 = -20$? But wait the options include -20. Wait why did I first think -4? No, let's redo:

Wait no, wait the original problem: Is it $|3 - 8| - (12 ÷ 3 + 1)^2$? Let's confirm:

$|3-8| = 5$; $12÷3=4$, $4+1=5$, $5²=25$; $5 -25 = -20$. So the answer is -20.

Step1: Calculate absolute value

$|3 - 8| = 5$

Step2: Compute inside parentheses

$12 ÷ 3 + 1 = 5$

Step3: Square the result

$5^2 = 25$

Step4: Subtract values

$5 - 25 = -20$

Answer:

-4