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.
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.
Solution
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.