Question

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

24
24

14
14

20
20

22

Answer 1

To solve the expression \( 12 - 23 + 4 \div 2 + 24 \) using the order of operations (parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right)), follow these steps:

1. **Division First**:
\[
4 \div 2 = 2
\]

2. **Substituting back into the expression**:
\[
12 - 23 + 2 + 24
\]

3. **Performing the operations from left to right**:
\[
12 - 23 = -11
\]
Next, add 2:
\[
-11 + 2 = -9
\]
Finally, add 24:
\[
-9 + 24 = 15
\]

So the simplified value is \( 15 \).

However, looking at the provided responses, it appears there might be a mistake in the calculations, as none of the options are \( 15 \).

Let's check the operations again step by step:

1. Start again with the original expression:
\[
12 - 23 + 4 \div 2 + 24
\]

2. Calculate the division:
\[
4 \div 2 = 2 \rightarrow 12 - 23 + 2 + 24
\]

3. Subtract:
\[
12 - 23 = -11 \rightarrow -11 + 2 + 24
\]

4. Add \( 2 \):
\[
-11 + 2 = -9 \rightarrow -9 + 24
\]

5. Add \( 24 \):
\[
-9 + 24 = 15
\]

This confirms that \( 15 \) is indeed the result. Given that \( 15 \) is not one of the choices, please verify the expression or available options.