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

Question

−4−(−9)


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(1 point)
Responses

Because −4+9
is an equivalent expression, the answer is −5
.
Because negative 4 plus 9 is an equivalent expression, the answer is negative 5.

Because −4+9
is an equivalent expression, the answer is 5
.
Because negative 4 plus 9 is an equivalent expression, the answer is 5.

Because 4+(−9)
is an equivalent expression, the answer is −5
.
Because 4 plus negative 9 is an equivalent expression, the answer is negative 5.

Because 4+(−9)
is an equivalent expression, the answer is 5
.

Answer 1

To evaluate the expression \(-4 - (-9)\), we can use the concept of the additive inverse. The additive inverse of a number is what you add to that number to get zero. In this case, we want to simplify the expression \(-4 - (-9)\).

To simplify, we know that subtracting a negative number is the same as adding its positive. Therefore:

\[ -4 - (-9) = -4 + 9 \]

Now we can compute:

\[ -4 + 9 = 5 \]

So, the equivalent expression \(-4 + 9\) evaluates to \(5\).

Based on the responses provided, the correct option is:

Because \(-4 + 9\) is an equivalent expression, the answer is 5.