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 4 plus negative 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 5.

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

Answer 1

To evaluate the expression \(-4 - (-9)\) using the additive inverse, we can start by recognizing that subtracting a negative number is the same as adding its positive counterpart. Specifically, we can rewrite the expression as follows:

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

Now, we can evaluate \(-4 + 9\):

\[ -4 + 9 = 5 \]

So, the correct answer is:

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