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

Question

−3−(−6)


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(1 point)
Responses

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

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

Answer 1

To evaluate the expression \(-3 - (-6)\), we can make use of the property of additive inverses. Subtracting a negative number is equivalent to adding its positive counterpart.

Therefore, we can rewrite \(-3 - (-6)\) as:

\[ -3 + 6 \]

Now we can calculate:

\[ -3 + 6 = 3 \]

So, the expression evaluates to 3.

Thus, the correct response from the options you provided is:

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