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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

1 answer

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.