Use the order of operations to simplify 12−23+4÷2+24

Question

.(1 point)
Responses

20
20

24
24

14
14

22

Answer 1

To simplify the expression \( 12 - 23 + 4 \div 2 + 24 \), we follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. Division:

   • \(4 \div 2 = 2\)

2. Now our expression looks like this: \[ 12 - 23 + 2 + 24 \]

3. Performing from left to right:

   • First, do \(12 - 23\): \[ 12 - 23 = -11 \]

4. Update the expression: \[ -11 + 2 + 24 \]

5. Now continue from left to right:

   • Adding \( -11 + 2 \): \[ -11 + 2 = -9 \]
   • Next, adding \( -9 + 24 \): \[ -9 + 24 = 15 \]

So, the simplified result of the expression \( 12 - 23 + 4 \div 2 + 24 \) is 15.

Since option 15 isn't provided in your listed responses, please double-check the options for any errors. If there are any discrepancies, kindly provide the correct options or clarify the question.