Source: Extra Practice

What is the value of the expression: (−5)+12×(−2)−10÷5(-5) + 12 \times (-2) - 10 \div 5?

Options

Option A is correct

−31-31

Option B

−17-17

Option C

1919

Option D

3131

Explanation

Following the order of operations:

  1. Multiplication: 12×(−2)=−2412 \times (-2) = -24
  2. Division: 10÷5=210 \div 5 = 2 The expression transforms to: (−5)+(−24)−2(-5) + (-24) - 2
  3. Now perform addition and subtraction from left to right: −5−24=−29-5 - 24 = -29 −29−2=−31-29 - 2 = -31 Therefore, the correct value is −31-31. Options B, C, and D result from incorrect application of integer rules or order of operations.