Question

\( -(\frac{-6}{2}) = \)

• A. -4
• B. -3
• C. 3
• D. 4
• E. 8

Hint:

Be careful with multiple negative signs. Work from the inside out. First, resolve the operation within the parentheses, and then apply any operations outside the parentheses.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
This question tests the order of operations and the rules of signs in arithmetic. We need to evaluate the expression by first performing the division inside the parentheses and then applying the negative sign outside.
Step 2: Key Formula or Approach:
Follow the order of operations (PEMDAS/BODMAS): Parentheses/Brackets first. Rules of signs for division: a negative number divided by a positive number results in a negative number. Rules of signs for negation: the negative of a negative number is a positive number (\( -(-a) = a \)).
Step 3: Detailed Explanation:
The expression is \( -(\frac{-6}{2}) \).
First, we evaluate the expression inside the parentheses: \[ \frac{-6}{2} = -3 \] Now, we substitute this result back into the original expression: \[ -(-3) \] The negative of -3 is 3. \[ -(-3) = 3 \] Step 4: Final Answer:
The value of the expression is 3.