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

-3 - (-6)
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(1 point)
• Because 3 + (-6) is an equivalent expression, the answer is 3.
• Because 3 + (-6) is an equivalent expression, the answer is - 3.
• Because —3 + 6 is an equivalent expression, the answer is - 3.
• Because —3 + 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. This means:

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

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

\[ -3 + 6 = 3 \]

So the correct reasoning is:

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

Therefore, the correct option is:

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