Find the Opposite Number: Determining the Additive Inverse of -8

Question

Convert $-8$ into its reciprocal form:

00:00 Find the reciprocal number

00:03 We will use the formula to find the reciprocal number

00:07 Any number multiplied by its reciprocal always equals 1

00:11 Note that the result is positive, therefore the number multiplication will be negative

00:16 Negative multiplied by negative always equals positive

00:21 And also negative divided by negative always equals positive

00:31 We swap between numerator and denominator to get the reciprocal number

00:37 And this is the solution to the question

To determine the opposite number of $-8$ according to the instructions, we need to find its reciprocal.

Step 1: Recall that the reciprocal of a number $a$ is defined as $\frac{1}{a}$ .
Step 2: Applying this definition, the reciprocal of $-8$ is $\frac{1}{-8}$ .
Step 3: Simplify $\frac{1}{-8}$ to $-\frac{1}{8}$ .

The result is $-\frac{1}{8}$ . Comparing this with the provided choices, we see that choice 3, $-\frac{1}{8}$ , is correct.

Therefore, the opposite number in the context of this problem is $\boxed{-\frac{1}{8}}$ , making the correct answer:

$-\frac{1}{8}$

$-\frac{1}{8}$