Answer :

Out of the following expressions, only  6 - (4 + 5)  is equivalent to PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right) order of operations for evaluating the expression:

  • 6 (-4)-5: This expression would be evaluated as 6 multiplied by -4 first (-24), then subtract 5, resulting in -29.
  • (6 - 4)-5: Following PEMDAS, the subtraction inside the parentheses happens first (2), then subtract 5 from 2, resulting in -3.
  • 6 - (4 - 5): Similar to the previous one, subtraction inside the parentheses happens first (1), then subtract 1 from 6, resulting in 5.
  • 6 + (-4 - 5): Following PEMDAS, the subtraction inside the parentheses happens first (-9), then add 6 to -9, resulting in -3.

Therefore, only 6 - (4 + 5), where we perform the addition inside the parentheses first, is equivalent to 6 (-4)-5.