Final answer:
In the expression -6/2, the only option that is NOT equivalent is D. -6 /-2 because dividing a negative number by another negative results in a positive number, so -6/-2 is equal to 3, not -3.
Step-by-step explanation:
The expression -6/2 simplifies to -3. Now let's consider each of the options given to determine which one is not equivalent:
- A. -3 (This is equivalent because -6 divided by 2 equals -3)
- B. -6 /2 (This is simply the original expression restated, so it is equivalent)
- C. 6 /-2 (This is equivalent because 6 divided by -2 also equals -3)
- D. -6 /-2 (This is not equivalent because when a negative number is divided by another negative number, the result is positive. Therefore, -6 divided by -2 equals 3, not -3)
Therefore, the answer that is NOT equivalent to the expression -6/2 is D. -6 /-2.