How can the additive inverse be used to evaluate the problem below?

−3−(−6)



NOTE: There is a check answer button in the bottom right corner. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question.

(1 point)
Responses

Because −3+6
is an equivalent expression, the answer is −3
.
Because negative 3 plus 6 is an equivalent expression, the answer is negative 3.

Because 3+(−6)
is an equivalent expression, the answer is −3
.
Because 3 plus negative 6 is an equivalent expression, the answer is negative 3.

Because −3+6
is an equivalent expression, the answer is 3
.
Because negative 3 plus 6 is an equivalent expression, the answer is 3.

Because 3+(−6)
is an equivalent expression, the answer is 3
.
Because 3 plus negative 6 is an equivalent expression, the answer is 3.

1 answer

To evaluate the expression \(-3 - (-6)\), you can use the concept of the additive inverse.

When you subtract a negative number, it is equivalent to adding its positive counterpart. Therefore, the problem can be rewritten as:

\[ -3 - (-6) = -3 + 6 \]

Now, you can evaluate \(-3 + 6\):

\[ -3 + 6 = 3 \]

So, the answer to the expression \(-3 - (-6)\) is \(3\).

Thus, the correct response from the provided options is:

Because \(-3 + 6\) is an equivalent expression, the answer is 3. Because negative 3 plus 6 is an equivalent expression, the answer is 3.