Source: Extra Practice

What is the value of −5×(8−12)+20÷(−4)-5 \times (8 - 12) + 20 \div (-4)?

Options

Option A is correct

15

Option B

-25

Option C

25

Option D

0

Explanation

Let's evaluate the expression step-by-step using BODMAS/PEMDAS, paying attention to integer rules:

  1. Solve the operation inside the Brackets first: 8−12=−48 - 12 = -4 The expression becomes: −5×(−4)+20÷(−4)-5 \times (-4) + 20 \div (-4)
  2. Perform Multiplication and Division from left to right: −5×(−4)=20 -5 \times (-4) = 20 (Product of two negative integers is positive) 20÷(−4)=−5 20 \div (-4) = -5 (Division of a positive by a negative integer is negative) The expression becomes: 20+(−5)20 + (-5)
  3. Perform Addition: 20+(−5)=20−5=1520 + (-5) = 20 - 5 = 15 Therefore, the value of the expression is 15. Incorrect options would arise from errors in integer arithmetic or order of operations.