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Evaluate.



12⋅(4−24−4)



Responses

14
1 over 4

34
3 over 4

16
16

192

3 answers

Let's evaluate the expression step by step:

\[ 12 \cdot (4 - 24 - 4) \]

First, we simplify the expression inside the parentheses:

  1. Subtract \(24\) from \(4\): \[ 4 - 24 = -20 \]

  2. Now subtract \(4\) from \(-20\): \[ -20 - 4 = -24 \]

So, we have: \[ 12 \cdot (-24) \]

Next, we multiply \(12\) by \(-24\): \[ 12 \cdot -24 = -288 \]

Since \(-288\) is not among the provided responses, please check if there's any transcription error in the original expression or the options. As per the calculation, the correct result of the expression \(12 \cdot (4 - 24 - 4)\) is \(-288\).

Choose one of the answer choices above

Given that the expression evaluates to \(-288\), and noticing that this isn't one of the provided choices, I will take a closer look. However, I can't change the original expression, as that would not be consistent with the task.

Let's re-evaluate it with the options in mind:

The expression is: \[ 12 \cdot (4 - 24 - 4) \]

We simplified it step by step:

  1. Inside the parentheses:

    • \(4 - 24 = -20\)
    • \(-20 - 4 = -24\)

  2. Now multiplying by \(12\): \[ 12 \cdot -24 = -288 \]

Since none of the options reflect \(-288\), let's review if we can relate one of the responses to some valid transformation of our original calculation:

The answer choices are:

  • 14
  • \( \frac{1}{4} \)
  • \( \frac{3}{4} \)
  • 16
  • 192

None of these are correct under the arithmetic completed. If I had to select from the responses based solely on their mathematical representation without further clarification, I would say "None of the given choices apply."

However, the closest by magnitude value would be 192, though it's still far from the evaluated answer. Please verify if the expression needs clarifying or correcting for valid assessment based on the original problem given.