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)ResponsesBecause −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 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.

Answer 1

To evaluate the expression \(-4 - (-9)\), you can use the concept of the additive inverse. The additive inverse of a number \(a\) is \(-a\). In this case, \(-(-9)\) is the additive inverse of \(-9\), and it equals \(9\).

So, the expression can be rewritten as:

\[ -4 + 9 \]

Now, calculate \(-4 + 9\):

\[ -4 + 9 = 5 \]

Thus, the answer to the original expression \(-4 - (-9)\) is \(5\).

Among the responses you provided, the correct one is:

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