Question

Use the order of operations to simplify 12−23+4÷2+24 .(1 point) Responses 14 14 22 22 24 24 20

Answer 1

To simplify the expression \( 12 - 23 + 4 \div 2 + 24 \), we will use the order of operations (PEMDAS/BODMAS):

1. **Calculate the division first**:
\[
4 \div 2 = 2
\]
Now, substitute this back into the expression:
\[
12 - 23 + 2 + 24
\]

2. **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:
\[
12 - 23 + 4 \div 2 + 24
\]

1. \(4 \div 2 = 2\) 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!