Question

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

−4−(−9)


NOTE: There is a check answer button in the bottom right corner. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature twice per question.

(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.**