Question
Show work
54 - 36 ➗6 x 3
Sylvie and Marie simplified the expression below. Sylive’s answer was 36. Marie’s answer was 52. Who was correct? For the one that was incorrect, what was her error?
Who is correct?
A. Sylvie. B. Marie
Explain the others mistake?
54 - 36 ➗6 x 3
Sylvie and Marie simplified the expression below. Sylive’s answer was 36. Marie’s answer was 52. Who was correct? For the one that was incorrect, what was her error?
Who is correct?
A. Sylvie. B. Marie
Explain the others mistake?
Answers
GPT-4o mini
To evaluate the expression \(54 - 36 \div 6 \times 3\), we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
### Step 1: Division and Multiplication
First, we perform the division and multiplication from left to right:
1. **Division:**
\[
36 \div 6 = 6
\]
2. **Multiplication:**
\[
6 \times 3 = 18
\]
### Step 2: Subtraction
Now, we can perform the subtraction:
\[
54 - 18 = 36
\]
So, the simplified expression is \(36\).
#### Conclusion:
- Sylvie’s answer was \(36\).
- Marie’s answer was \(52\).
**Who is correct?**
- **A. Sylvie** is correct.
### Explanation of Marie's Mistake:
Marie may have incorrectly calculated the expression by not following the order of operations properly. Here’s a possible misstep:
1. If she did the subtraction first and then combined it incorrectly, it could look like this:
\[
54 - 36 = 18 \, \text{(wrong step)}
\]
Then, she might have added \(6 \times 3\):
\[
18 + 18 = 36 \, \text{(following it incorrectly)} \, \Rightarrow 54-36+18=36 \, \text{but in reality is 52}.
\]
In summary, Marie seems to have made an error in the order of operations by potentially subtracting before performing the division and multiplication.
### Step 1: Division and Multiplication
First, we perform the division and multiplication from left to right:
1. **Division:**
\[
36 \div 6 = 6
\]
2. **Multiplication:**
\[
6 \times 3 = 18
\]
### Step 2: Subtraction
Now, we can perform the subtraction:
\[
54 - 18 = 36
\]
So, the simplified expression is \(36\).
#### Conclusion:
- Sylvie’s answer was \(36\).
- Marie’s answer was \(52\).
**Who is correct?**
- **A. Sylvie** is correct.
### Explanation of Marie's Mistake:
Marie may have incorrectly calculated the expression by not following the order of operations properly. Here’s a possible misstep:
1. If she did the subtraction first and then combined it incorrectly, it could look like this:
\[
54 - 36 = 18 \, \text{(wrong step)}
\]
Then, she might have added \(6 \times 3\):
\[
18 + 18 = 36 \, \text{(following it incorrectly)} \, \Rightarrow 54-36+18=36 \, \text{but in reality is 52}.
\]
In summary, Marie seems to have made an error in the order of operations by potentially subtracting before performing the division and multiplication.