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 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
.
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
.

Answer 1

To evaluate the expression \(-4 - (-9)\) using the concept of the additive inverse, you can rewrite the subtraction of \(-9\) as adding its additive inverse.

1. The expression \(-4 - (-9)\) can be rewritten as \(-4 + 9\).
2. Now you evaluate \(-4 + 9\).
3. To calculate that, you can think of it as moving up 9 units from \(-4\) on a number line.

So:

\[ -4 + 9 = 5 \]

Therefore, the correct response would be:

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