Solve: [−45 + 7 × 23 − (247 / 13) − 11] / 2

Question

ScanSolve AI Tutor · Accepted Answer

Here's how to solve the expression step-by-step using the order of operations (BODMAS/PEMDAS):

The expression is:

[-45 + 7 \times 23 - (247 \div 13) - 11] \div 2

Evaluate the expression inside the innermost parentheses.
$(247 \div 13)$ $247 \div 13 = 19$
Substitute this value back into the square brackets.
$[-45 + 7 \times 23 - 19 - 11] \div 2$
Inside the square brackets, perform the multiplication.
$7 \times 23 = 161$
Substitute this value back into the square brackets.
$[-45 + 161 - 19 - 11] \div 2$
Perform the additions and subtractions from left to right inside the square brackets.
$-45 + 161 = 116$ $116 - 19 = 97$ $97 - 11 = 86$
So, the value inside the square brackets is 86.
Substitute this value back into the main expression and perform the final division.
$86 \div 2$ $86 \div 2 = 43$
The final answer is $\text{43}$ .

Solve: [-45 + 7 * 23 - (247 / 13) - 11] / 2