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

−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 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 negative 3.

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

1 answer

To evaluate the expression \(-3 - (-6)\), we can use the concept of the additive inverse. The additive inverse of a number \(x\) is \(-x\), and subtracting a negative number is the same as adding its positive.

So, we can rewrite the expression as:

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

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

\[-3 + 6 = 3\]

Thus, the answer to the original problem is 3.

Looking at the options provided, the correct response is:

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