Question

The numerical expression (36÷4⋅3)−8+10
is simplified as follows. In which step, if any, did the first error occur?
Step 1: (9⋅3)−8+10

Step 2: 27−8+10

Step 3: 27−18=9
(1 point)
Responses

Step 3
Step 3

No error occurred.
No error occurred.

Step 2
Step 2

Step 1
Step 1

Answer 1

To analyze the simplification steps, let's break down the original expression, \((36÷4⋅3)−8+10\), correctly following the order of operations (PEMDAS/BODMAS).

1. **Step 1**: In the expression \(36 ÷ 4 ⋅ 3\):
- Division and multiplication are done from left to right.
- So, \(36 ÷ 4 = 9\) and then \(9 ⋅ 3 = 27\).
- This gives us \(27 - 8 + 10\), which is what is shown in *Step 1*: \((9⋅3)−8+10\).

This step is incorrect because it does not follow order of operations correctly for multiplication and division.

2. **Step 2**: \(27 - 8 + 10\).
- This step correctly shows \(27 - 8 + 10\). Here, that part is fine.

3. **Step 3**: However, there is an error in how the final calculation is executed: \(27 - 18 = 9\) is incorrect. The correct operation should be:
- First calculate \(27 - 8 = 19\)
- Then add \(10\) to get \(19 + 10 = 29\).

Looking at the sequence, the first error occurred in *Step 1*, as it incorrectly translates the expression without adhering to proper calculations for order of operations at that stage.

Thus, the correct answer is:
**Step 1**.