Questions: Whitney tried to evaluate an expression. Here is her work: 33+12 ÷ 2 ·(4-2+8) = 33+12 ÷ 2 ·(2+8) = step 1 = 33+12 ÷ 2 · 10 = step 2 = step 3 = 93 Is Whitney's work correct? No, Whitney made a mistake going from the given expression to Step 1. Whitney should have added 2 and 8 before subtracting. The order of operations says to add before you subtract. No, Whitney made a mistake going from Step 2 to Step 3. Whitney should have multiplied 2 and 10 before dividing. The order of operations says to multiply before you divide. Yes, Whitney's work is correct.

Whitney tried to evaluate an expression. Here is her work:

33+12 ÷ 2 ·(4-2+8) 
= 33+12 ÷ 2 ·(2+8) 
= step 1 
= 33+12 ÷ 2 · 10 
= step 2 
= step 3 
= 93

Is Whitney's work correct?
No, Whitney made a mistake going from the given expression to Step 1. Whitney should have added 2 and 8 before subtracting. The order of operations says to add before you subtract.

No, Whitney made a mistake going from Step 2 to Step 3. Whitney should have multiplied 2 and 10 before dividing. The order of operations says to multiply before you divide.

Yes, Whitney's work is correct.
Transcript text: Whitney tried to evaluate an expression. Here is her work: \[ \begin{aligned} & 33+12 \div 2 \cdot(4-2+8) \\ = & 33+12 \div 2 \cdot(2+8) \\ = & \text { step } 1 \\ = & 33+12 \div 2 \cdot 10 \\ = & \text { step 2 } \\ = & \text { step 3 } \\ = & 93 \end{aligned} \] Is Whitney's work correct? No, Whitney made a mistake going from the given expression to Step 1. Whitney should have added 2 and 8 before subtracting. The order of operations says to add before you subtract. No, Whitney made a mistake going from Step 2 to Step 3. Whitney should have multiplied 2 and 10 before dividing. The order of operations says to multiply before you divide. Yes, Whitney's work is correct.
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Solution

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Solution Steps

Step 1: Evaluate the Expression

We start with the expression \( 33 + 12 \div 2 \cdot (4 - 2 + 8) \). According to the order of operations, we first evaluate the expression inside the parentheses: \[ 4 - 2 + 8 = 2 + 8 = 10 \]

Step 2: Substitute and Simplify

Now we substitute back into the expression: \[ 33 + 12 \div 2 \cdot 10 \]

Step 3: Perform Division and Multiplication

Next, we perform the division and multiplication from left to right: \[ 12 \div 2 = 6 \] Then we multiply: \[ 6 \cdot 10 = 60 \]

Step 4: Final Addition

Finally, we add the result to 33: \[ 33 + 60 = 93 \]

The final result of the expression is \( 93 \).

Final Answer

No, Whitney made a mistake going from Step 2 to Step 3.

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