Question

select the correct location on the image.
hayden evaluated this expression using the order of operations, but he made a mistake. which step includes hayden’s mistake?

	$-6 + 8(11 - 4) + 3^2$
step 2	$= -6 + 8(7) + 9$
step 3	$= 2(7) + 9$
step 4	$= 14 + 9$
step 5	$= 23$

Explanation:

Step1: Check Step1 (Parentheses)

Original expression: $-6 + 8(11 - 4) + 3^2$
Calculate inside parentheses: $11-4=7$, so $-6 + 8(7) + 3^2$. Step1 is correct.

Step2: Check Step2 (Exponents)

Calculate $3^2=9$, so $-6 + 8(7) + 9$. Step2 is correct.

Step3: Check Step3 (Multiplication first)

Multiplication: $8(7)=56$, so expression becomes $-6 + 56 + 9$. Hayden incorrectly added $-6+8=2$ first, violating order of operations (PEMDAS/BODMAS: multiplication before addition/subtraction). Step3 has the mistake.

Step4: Verify correct flow

Correct Step3: $-6 + 56 + 9 = 50 + 9 = 59$, but we only need to identify the error step.

Answer:

Step 3 includes Hayden's mistake.