Question

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

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

Answer 1

To evaluate the expression \(-4 - (-9)\) using the concept of additive inverses, you can rewrite the expression. The subtraction of a negative number is equivalent to addition:

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

Now, you can simplify this:

\[
-4 + 9 = 5
\]

So, the correct response is:

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