To simplify the expression \( 12 - 23 + 4 \div 2 + 24 \), we will use the order of operations (PEMDAS/BODMAS):
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Calculate the division first: \[ 4 \div 2 = 2 \] Now, substitute this back into the expression: \[ 12 - 23 + 2 + 24 \]
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Now, perform the addition and subtraction from left to right:
- Start with \( 12 - 23 \): \[ 12 - 23 = -11 \]
- Next, add \( 2 \): \[ -11 + 2 = -9 \]
- Finally, add \( 24 \): \[ -9 + 24 = 15 \]
Thus, the simplified result is \( 15 \). However, that is not one of the options provided, so let's double-check.
Let's recap the order of operations:
We have: \[ 12 - 23 + 4 \div 2 + 24 \]
- \(4 \div 2 = 2\) gives us: \[ 12 - 23 + 2 + 24 \]
Now, calculating step-by-step:
- \( 12 - 23 = -11\)
- \( -11 + 2 = -9\)
- \( -9 + 24 = 15\)
Therefore, if the options are strictly limited to those given, it suggests that a re-evaluation indicates the discrepancy of marked choices against calculated possibilities. The response \( 14, 22, 24,\) and \(20\) do not align with the operations demonstrated, which yield a consistent result of \(15\).
If you need further simplification or clarification on any step, feel free to ask!